《概率论与数理统计》课程中英文简介

《微积分I II》课程中英文简介

Calculus

课程代码：120014A/120024A Course Code：120014A/120024A

课程名称：微积分I II Course Name：Calculus I II

学 时：64 Periods：64

学 分：4 Credits：4

考核方式：考试 Assessment：Examination

先修课程：无 Preparatory Courses：None

《微积分》是我校经济、管理类专业的一门必修课，为二学期课程。通过本课程的学习，使学生掌握微积分学的基本概念、基本理论及基本运算技能，逐步培养学生抽象概括问题的能力、逻辑推理能力、空间想象能力和比较熟练的运算能力，培养学生综合运用所学知识去分析和解决有关实际问题的能力，为学生学习后续课程和进一步获得数学知识奠定必要的数学基础。

本课程的主要内容包括： 函数、极限与连续、导数与微分、中值定理与导数的应用、不定积分、定积分、无穷级数、多元函数微积分学、微分方程、差分方程。

Calculus is an important two-semester basic compulsory for economics and

625

中英文课程简介

management professional in our university. Though the studying of this course, students should maser basic concepts, basic theory and basic computing skills of calculus. The course can cultivate students’ ability of abstracting general problems, logical reasoning, spatial imagination and skilled computing. In addition, the course can cultivate students the ability to analyze and solve practical problems though using their knowledge learnt, and lay a basic for students to study relevant courses and further to acquire mathematical knowledge.

The content of the course includes: functions, limits and continuity, derivative and differential mean value theorem and the application of derivatives, indefinite integral, definite integral, infinite series, multi-function calculus, differential equations, difference equations.

626

统计学院

《微积分》课程中英文简介

Calculus

课程代码：120033A Course Code：120033A

课程名称：微积分 Course Name：Calculus

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：无 Preparatory Courses：None

《微积分》是我校经济、管理类专业的一门重要基础必修课。通过本课程的学习，使学生掌握微积分学的基本概念、基本理论及基本运算技能。培养学生综合运用所学知识去分析和解决有关实际问题的能力，为学生学习有关专业课程和进一步获得数学知识奠定必要的数学基础。

本课程的内容包括：函数、极限与连续、导数与微分、中值定理与导数的应用、不定积分。

Calculus is an important basic compulsory for economics and management professional in our university. Though the studying of this course, students should

627

中英文课程简介

maser basic concepts, basic theory and basic computing skills of calculus. The course can cultivate students the ability to analyze and solve practical problems though using their knowledge learnt, and lay a basic for students to study relevant courses and further to acquire mathematical knowledge.

The content of the course includes: functions, limits and continuity, derivative and differential mean value theorem and the application of derivatives, indefinite integral.

628

统计学院

《线性代数》课程中英文简介

Linear Algebra

课程代码：120043A Course Code：120043A

课程名称：线性代数 Course Name：Linear Algebra

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：微积分 Preparatory Courses：Calculus

本课程是我校本科经济、管理类专业数学课中三门最重要的基础课之一，为一学期课程。通过本课程的学习，学生不仅能够获得线性代数的基本知识，而且能够得到“两个基本训练”即：代数学基本方法的训练、线性代数基本计算的训练；同时培养和训练了学生运用数学方法分析和解决问题的能力，扩展了学生的数学知识，为进一步学习有关专业课程提供必要的数学基础。本课程的内容包括：行列式（行列式的定义、性质和按行(列)展开、克莱姆法则），矩阵（矩阵运算、逆矩阵、分块矩阵、初等矩阵与初等变换、矩阵的秩），线性方程组与向量空间（欧氏空间），矩阵的特征值与特征向量，二次型（用配方法和正交变换法化二次型为标准形、正定二次型）。

This course is one of the most important undergraduate basic courses of

629

中英文课程简介

economics and management professional math in our university. Students can not only get a basic knowledge of linear algebra, and can obtain “two basic training”: the training about algebra basic methods and the training about basic knowledge of linear algebra. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to further learn relevant courses. The content of this course include: determinant (the definition, nature and by row (column) Expand, Cramer's rule), matrix (matrix operations, inverse matrix, block matrix, elementary matrix with elementary transformation, rank of matrix), linear equations and vector space (Euclidean space), matrix eigenvalue and vector, the second type (with the Method and orthogonal transformation of the standard quadratic form, positive definite quadratic form).

630

统计学院

《线性代数Ⅰ》课程中英文简介

Linear Algebra I

课程代码：120053A Course Code：120053A

课程名称：线性代数 Course Name：Linear Algebra

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：微积分 Preparatory Courses：Calculus

本课程是我校本科经济、管理类专业数学课中三门最重要的基础课之一，为一学期课程。通过本课程的学习，学生不仅能够获得线性代数的基本知识，而且能够得到“两个基本训练”即：代数学基本方法的训练、线性代数基本计算的训练；同时培养和训练了学生运用数学方法分析和解决问题的能力，扩展了学生的数学知识，为进一步学习有关专业课程提供必要的数学基础。本课程的内容包括：行列式（行列式的定义、性质和按行(列)展开、克莱姆法则），矩阵（矩阵运算、逆矩阵、分块矩阵、初等矩阵与初等变换、矩阵的秩），线性方程组与向量空间（欧氏空间），矩阵的特征值与特征向量，二次型（用配方法和正交变换法化二次型为标准形、正定二次型）。

This course is one of the most important undergraduate basic courses of

631

中英文课程简介

economics and management professional math in our university. Students can not only get a basic knowledge of linear algebra, and can obtain “two basic training”: the training about algebra basic methods and the training about basic knowledge of linear algebra. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to further learn relevant courses. The content of this course include: determinant (the definition, nature and by row (column) Expand, Cramer's rule), matrix (matrix operations, inverse matrix, block matrix, elementary matrix with elementary transformation, rank of matrix), linear equations and vector space (Euclidean space), matrix eigenvalue and vector, the second type (with the Method and orthogonal transformation of the standard quadratic form, positive definite quadratic form).

632

统计学院

《线性代数II》课程中英文简介

Linear Algebra II

课程代码：120063A Course Code：120063A

课程名称：线性代数 Course Name：Linear Algebra

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：微积分 Preparatory Courses：Calculus

本课程是我校本科经济、管理类专业数学课中三门最重要的基础课之一，为一学期课程。

通过本课程的学习，学生不仅能够获得线性代数的基本知识，而且能够得到“两个基本训练”即：代数学基本方法的训练、线性代数基本计算的训练；同时培养和训练了学生运用数学方法分析和解决问题的能力，扩展了学生的数学知识，为进一步学习有关专业课程提供必要的数学基础。本课程的内容包括：行列式（行列式的定义、性质和按行(列)展开、克莱姆法则），矩阵（矩阵运算、逆矩阵、分块矩阵、初等矩阵与初等变换、矩阵的秩），线性方程组与向量空间（欧氏空间），矩阵的特征值与特征向量，二次型（用配方法和正交变换法化二次型为标准形、正定二次型）。

633

中英文课程简介

This course is one of the most important undergraduate basic courses of economics and management professional math in our university. Students can not only get a basic knowledge of linear algebra, and can obtain “two basic training”: the training about algebra basic methods and the training about basic knowledge of linear algebra. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to further learn relevant courses. The content of this course include: determinant (the definition, nature and by row (column) Expand, Cramer's rule), matrix (matrix operations, inverse matrix, block matrix, elementary matrix with elementary transformation, rank of matrix), linear equations and vector space (Euclidean space), matrix eigenvalue and vector, the second type (with the Method and orthogonal transformation of the standard quadratic form, positive definite quadratic form).

634

统计学院

《概率论与数理统计》课程中英文简介

Probability and Mathematics Statistics

课程代码：120074A/120073A Course Code：120074A/120073A

课程名称：概率论与数理统计 Course Name：Probability and Mathematics Statistics

学 时：64/48 Periods：64/48

学 分：4/3 Credits：4/3

考核方式：考试 Assessment：Examination

先修课程：微积分 Preparatory Courses：Calculus

概率论与数理统计课程是各专业本科生的一门重要的公共基础课程，是硕士研究生入学全国统一考试中必考的数学课程之一。概率论是一门研究随机现象统计规律性数量关系的数学学科，而数理统计是研究如何有效地收集整理和分析随机影响的数据，并做出统计推断、预测或者决策的一门学科，它是以概率论为基础的。概率论与数理统计课程是学生由确定性思维进入随机性思维的入门课程、也是大学唯一的一门进行随机思维培养和训练的课程，是整个随机数学这个庞大体系的基石。通过对本门课程的学习，不仅为其他专业课的学习提供有力工具（如西方经济学），而且可以掌握一定的随机思维，拓宽学生的视野，从根本上改变和完善学生的思维方式使学生对定性与定量方法的理解上一个更高的层次，启发学生的想象力及创造力，培养学生观察、分析、解决问题的能力。本课程涉及的知识

635

中英文课程简介

面广泛，与实践联系紧密，是应用性较强的一门课程。

Probability and Mathematics Statistics course is an important public basic course for undergraduate in each major and is one of the mathematics curriculums of compulsory in the National Graduate Entrance Examination. Probability theory is a mathematics discipline of studying of the quantitative relation of statistical regularity of random phenomena, while mathematical statistics based on Probability theory is a discipline which studies how to compile and analyze data of random influence effectively and makes statistical inference, forecasting, or decision-making. Probability and mathematical statistics is an introductory course for students from deterministic thought to random thought, also is the only course that teach and practice random thought in University, and is the foundation of this huge system in all random mathematics. Through this course, students not only learn powerful tool for other professional courses (for instance economics), but also master random thought in some degrees and broaden their horizons. It fundamentally changes and improves the thinking way for students so that they can understand the qualitative and quantitative methods to a higher level, inspires students’ imagination and creativity, and cultivates students’ abilities to observe, analyze and problem-solving. This course covers a broad range of knowledge, closely links with the practice, and has a wide application.

636

统计学院

《概率论》课程中英文简介

Probability Theory

课程代码：120084A/120083A Course Code：120084A/120083A

课程名称：概率论 Course Name：Probability Theory

学 时：64/48 Periods：64/48

学 分：4/3 Credits：4/3

考核方式：考试 Assessment：Examination

先修课程：高等数学 Preparatory Courses：Advanced Mathematics

高等代数 Advanced Algebra

概率论是以具有不确定性的随机现象为研究对象，以探讨和研究随机现象的统计规律性为任务的一个数学分支，是继续学习数理统计、随机过程，以及与概率理论相关的课程的基础。概率论是一门应用性很强的数学学科，广泛地应用于金融、保险，证券，工程技术和自然学科中，是各学科中分析与解决问题的基本工具，概率论与不同的问题结合形成许多分支。

通过本课程的教学实践，一方面要求学生理解概率论的基本理论和基本计算方法，为后续课程的学习打下必要的基础；另一方面要求学生能够运用基本的概率模型、理论和方

637

中英文课程简介

法解决实际应用中的简单概率问题。

在本课程的执行过程中，内容的选取和讲解都考虑到了学生以后的发展，使学生主要掌握随机事件、随机变量的概念；掌握随机变量的分布及数字特征的计算，掌握大数定律及中心极限定理的实际应用等内容。

Probability theory is a branch of mathematics which takes nondeterministic random phenomenon as study object and takes the statistics rule of random phenomena of exploring and studying as tasks. Also if you are going to continue learning statistics, stochastic processes and courses related to the probability theory. Probability theory is a mathematical discipline of strong application. It is widely used in finance, insurance, securities, engineering technology and science. Probability theory is a basic tool to analyze and solve problem in several disciplines, which combines with different problems to form many branch.

Through the course of teaching practice, on the one hand, requiring students to understand the basic theory of probability theory and basic calculation method, so as to lay the necessary foundations of subsequent courses；On the other hand, requiring students to apply their basic probability model, theory and methods to solve simple probability questions of real-world application.

In the course of the execution process, the selection and interpretation of content take the students’ future development into account. Making the students largely master the concept of random event and random variables, distributes and calculation, the practical application of the law of large numbers

638

统计学院

and the Central limit theorem and so on.

639

中英文课程简介

《高等数学Ⅰ》课程中英文简介

Calculus I

课程代码：120096A/120095A Course Code：120096A/120095A

课程名称：高等数学Ⅰ Course Name：Calculus I

学 时：96/80 Periods：96/80

学 分：6/5 Credits：6/5

考核方式：考试 Assessment：Examination

先修课程：中学数学 Preparatory Courses：School Mathematics

《高等数学Ⅰ》是大学一年级的重要基础理论课。内容包括一元函数与极限、导数与微分、微分中值定理与导数的应用、不定积分、定积分、定积分的应用、微分方程等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础。

在传授知识的同时，通过各个教学环节逐步培养学生的抽象能力、逻辑推理能力、空间想象能力、运算能力和自学能力，还有特别注意培养学生具有综合运用所学知识去分析问题和解决问题的能力。

本课程的特点是尊重数学的系统性，注重直观描述与实际背景，注重增强学生用数学

640

统计学院

的意识，培养学生使用数学的能力，让学生初步涉及数学建模。

\"Higher Mathematics Ⅰ\" is an important basis theory course for the first year at college. Its Contents include function of one variable and limit value, derivative and differential, the application of differential mean value theorem and derivatives, indefinite integral, definite integral, the application of definite integral, the basic concepts, theory and computing skills of differential equations and other aspects.

While imparting knowledge to students, this course can train the student's ability of abstract, logical reasoning, spatial imagination, computing power and self-learning in each teaching link, especially pay attention to cultivate students’ ability of taking a global view of analyzing issues and solving problems with learned knowledge.

This course is characterized by respect for systematicness of mathematics, which is focusing on visual description and practical background, also on enhancing students’ awareness of using mathematics and cultivating students’ ability of using mathematics so as to enable students initially involved in mathematical modeling.

641

中英文课程简介

《高等数学Ⅱ》课程中英文简介

Calculus II

课程代码：120106A/120105A Course Code：120106A/120105A

课程名称：高等数学II Course Name：Calculus II

学 时：96/80 Periods：96/80

学 分：6/5 Credits：6/5

考核方式：考试 Assessment：Examination

先修课程：中学数学 Preparatory Courses：School Mathematics

《高等数学Ⅱ》是大学一年级的重要基础理论课。内容包括空间解析几何与向量代数、多元函数微分法及其应用、重积分、曲线积分与曲面积分、无穷级数等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础。

在传授知识的同时，通过各个教学环节逐步培养学生的抽象能力、逻辑推理能力、空间想象能力、运算能力和自学能力，还有特别注意培养学生具有综合运用所学知识去分析问题和解决问题的能力。

本课程的特点是尊重数学的系统性，注重直观描述与实际背景，注重增强学生用数学的意识，培养学生使用数学的能力，让学生初步涉及数学建模。

642

统计学院

\"Higher Mathematics II\" is an important basis theory course for the first year at college. Its Contents include the basic concept, theory and computing skills of analytic geometry and vector algebra, multi-function differential method and its application, re-integration, the curve integral and surface integral, infinite series and so on. It will lay the foundations of mathematics for students’ follow-up courses so as to further access to the necessary mathematical knowledge.

While imparting knowledge to students, this course can train the student's ability of abstract, logical reasoning, spatial imagination, computing power and self-learning in each teaching link, especially pay attention to cultivate students’ ability of taking a global view of analyzing issues and solving problems with learned knowledge.

This course is characterized by respect for systematicness of mathematics, which is focusing on visual description and practical background, also on enhancing students’ awareness of using mathematics and cultivating students’ ability of using mathematics so as to enable students initially involved in mathematical modeling.

643

中英文课程简介

《高等代数》课程中英文简介

Higher Algebra

课程代码：120114A Course Code：120114A

课程名称：高等代数 Course Name：Higher Algebra

学 时：64 Periods：64

学 分：4 Credits：4

考核方式：考试 Assessment：Examination

先修课程：无 Preparatory Courses：None

本课程是统计学专业的一门专业基础课程，是学习离散数学、微分方程、泛函分析等课程的基础。

本课程的教学目标是，使学生获得数学基本思想方法和行列式、线性方程组、矩阵、二次型、线性空间、线性变换、欧氏空间等方面的系统知识。它一方面使学生熟悉和掌握本课程所涉及的现代数学中的重要思想方法，为后继课程提供所需的基础理论知识；另一方面还能提高学生抽象思维、逻辑推理和代数运算能力，对提高学生的思维能力，开发学生智能、加强“三基”（基础知识、基本理论、基本方法）及培养学生创造型能力等起到重要作用。

644

统计学院

本课程的主要内容为多项式理论和线性代数理论，即因式分解和代数基本定理，行列式、线性方程组、矩阵、二次型，线性空间、欧几里得空间的相关理论。具体包括以下内容:行列式的定义和性质、行列式的计算方法、Cramer法则；向量空间、向量的线性相关性、线性方程组有解的判别定理、线性方程组解的结构等；矩阵的运算、逆矩阵和矩阵方程；二次型的标准形、唯一性、正定二次型；线性变换的矩阵、基变换和坐标变换公式、线性变换的特征值及特征向量、矩阵的对角化；欧几里得空间、标准正交基、正交变换、实对称矩阵的标准形。

The course is an important professional basic course of the Financial Mathematics. It is the basic to study the course of Discrete Mathematics, differential equations, functional analysis and so on.

The teaching objective of course is to provide students with the basic way of thinking and the system of knowledge of determinant, linear equations, matrix, quadratic, linear space, linear transformations and Euclidean space and so on. On the one hand, it enables students to know and master an important way of thinking about the modern mathematics in this course. And then provide some follow-up course for the basic theories and knowledge. On the other hand, it can improve the students’，ability of abstract thinking, logical reasoning and algebra capacity. It plays an important role in improving students’ thinking ability and developing intelligent students, strengthening the \"Three Basics\" (basic knowledge, basic theory and method) and cultivating students’ creative ability.

The main contents of this course are polynomial theory and linear algebra theory which is factorization and the fundamental theorem of determinant, linear

645

中英文课程简介

equations, matrix, quadratic, linear space, linear transformations and Euclidean space. Specifically, this course includes the following contents: factorization and the fundamental theorem of algebra, the determinant of the definition and nature of the method of calculating the determinant, Cramer rule; vector space, vector of the linear correlation, linear equations solvable discriminant theorem, linear equations structure; matrix operations, inverse matrix and the matrix equation; the Standard Form of Quadratic, Unique, positive definite quadratic; Linear transformation matrix, Based transformation and coordinate transformation formula, Linear transformation of values and Eigen vectors, Diagonalization of Matrices, Euclidean space, orthonormal basis, orthogonal transformation, the standard form of real symmetric matrices

646

统计学院

《数学分析Ⅰ》课程中英文简介

Mathematical AnalysisⅠ

课程代码：120127A Course Code：120127A

课程名称：数学分析Ⅰ Course Name：Mathematical AnalysisⅠ

学 时：112 Periods：112

学 分：7 Credits：7

考核方式：考试 Assessment：Examination

先修课程：空间解析几何 Preparatory Courses：Space Analytic Geometry

《数学分析》课程是金融数学专业与统计学专业的一门重要基础课。《数学分析》的基本思想是极限论，主要是通过微分和积分两种特殊的极限运算从微观和宏观两个方面来研究函数。通过本课程的学习，使学生能够正确理解数学分析的基本概念、基本理论，掌握数学分析的基本方法，并具备较熟练的演算技能和初步的应用能力。《数学分析》一方面为后继课程（概率论、复变函数、实变函数、微分方程等）提供必要的基础知识，另一方面，《数学分析》所体现的分析数学思想、逻辑推理方法、处理问题的技巧，对培养学生分析问题，解决问题的能力有着重要作用。《数学分析Ⅰ》是其中的第一部分。

《数学分析Ⅰ》的基本内容如下：实数集与函数、数列极限、函数极限、连续函数、导数与微分、不定积分、定积分及其应用、反常积分。

647

中英文课程简介

\"Mathematical Analysis\" course is an important basic course of Financial Mathematics and Statistics professionals. The basic idea of this course is the limit theory. From both the micro and macro aspects, this theory research function mainly through two special limit operation including differential and integral. Through this course，students can correctly understand the basic concepts and theory of mathematical analysis, and master the basic methods of mathematical analysis. On the one hand, this course provides necessary basic knowledge for students to further their other courses (probability theory, complex function, functions of real variable, differential equations, etc). On the other hand, mathematical analysis thinking, logic reasoning method, problem solving skills that the course provide plays an important role in the culture of ability of students to analyze problems and solve problems. \"Mathematical Analysis Ⅰ\" is the first part of the course.

The basic content of \"Mathematical Analysis Ⅰ\" includes: Real numbers and functions, limits of sequences, function limits, continuous functions, derivatives and differentiation, indefinite integral, definite integral and its applications, improper integrals.

648

统计学院

《数学分析Ⅱ》课程中英文简介

Mathematical Analysis Ⅱ

课程代码：120137A Course Code：120137A

课程名称：数学分析Ⅱ Course Name：Mathematical Analysis Ⅱ

学 时：112 Periods：112

学 分：7 Credits：7

考核方式：考试 Assessment：Examination

先修课程：空间解析几何 Preparatory Courses：Space Analytic Geometry

《数学分析》课程是金融数学专业与统计学专业的基础课。《数学分析》的基本思想是极限论。主要是通过微分和积分两种特殊的极限运算从微观和宏观两个方面来研究函数。通过本课程的学习，使学生正确理解数学分析的基本概念、基本理论，掌握数学分析的基本方法，并具备较熟练的演算技能和初步的应用能力。《数学分析》一方面为后继课程（概率论、复变函数、实变函数、微分方程等）提供必要的基础知识，另一方面，《数学分析》所体现的分析数学思想、逻辑推理方法、处理问题的技巧，对培养学生分析问题，解决问题的能力有着重要作用。《数学分析Ⅱ》是其中的第二部分。

《数学分析Ⅱ》的基本内容如下：级数理论、多元函数极限、多元函数连续、多元函数微分与积分、多元函数的极值与最值、曲线积分、曲面积分。

649

中英文课程简介

\"Mathematical Analysis\" course is an important basic course of Financial Mathematics and Statistics professionals. The basic idea of this course is the limit theory. From both the micro and macro aspects, this theory research function mainly through two special limit operation including differential and integral. Through this course，students can correctly understand the basic concepts and theory of mathematical analysis, and master the basic methods of mathematical analysis. On the one hand, this course provides necessary basic knowledge for students to further their other courses (probability theory, complex function, functions of real variable, differential equations, etc). On the other hand, mathematical analysis thinking, logic reasoning method, problem solving skills that the course provide plays an important role in the culture of ability of students to analyze problems and solve problems. \"Mathematical Analysis Ⅰ\" is the second part of the course.

The basic content of \"Mathematical Analysis Ⅱ\" includes: Series theory, multi-function limit, multi-function continuity, differential and integral multi-function, multi function with the most extreme values, the curve integral, surface integral

650

统计学院

《空间解析几何》课程中英文简介

Analytic Geometry

课程代码：120142A Course Code：120142A

课程名称：空间解析几何 Course Name：Analytic Geometry

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考试 Assessment：Examination

先修课程：无 Preparatory Courses：None

空间解析几何是用代数的方法研究几何图形的几何学.它是数学专业一门重要的基础课。通过它的学习可以培养学生用代数方法解决几何问题的能力,培养学生的空间想象能力,培养学生运用几何知识和方法解决实际问题的能力,并为其它数学课程的学习作准备。 通过本课程的学习，使学生掌握向量、直线、平面、柱面 、锥面、旋转曲面、二次曲线的概念，理解向量、直线、平面及二次曲面的有关性质，会计算数量积、向量积，掌握求直线方程、平面方程的方法，能根据一定条件求一些简单的二次曲面方程。

Analytic Geometry is the subject that using Algebra to study geometric figure. It is one of the most important basic curricula in mathematics, which can help you obtain the abilities on solving geometry problems by algebra way. It will improve

651

中英文课程简介

the space imagination, solve practical problems by using geometry knowledge and methods, and prepare for other mathematical curriculums. By the time you finish the course, you will be able to explain vector, line, plane, cylinder, cone, circumrotating surface and quadric, to understand the characters of vector, lines, plate and quadric, to account the Dot product, the cross product, and to master the methods on lines equation, plane equation and the quadric equation under some conditions.

652

统计学院

《高等代数I》课程中英文简介

Higher Algebra I

课程代码：120153A Course Code：120153A

课程名称：高等代数I Course Name：Higher Algebra I

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：无 Preparatory Courses：None

本课程是金融数学专业的一门专业基础课程，是学习近世代数、微分方程、泛函分析等课程的基础。

本课程的教学目标是，使学生获得数学的基本思想方法和行列式、线性方程组、矩阵等方面的系统知识。它一方面使学生熟悉和掌握本课程所涉及的现代数学中的重要思想方法，为后继课程提供一些所需的基础理论和知识；另一方面还能提高学生抽象思维、逻辑推理和代数运算的能力，对提高学生的思维能力，开发学生智能、加强“三基”（基础知识、基本理论、基本方法）及培养学生创造型能力等起到重要作用。

本课程的主要内容为多项式理论和线性代数理论，即因式分解和代数基本定理，行列

653

中英文课程简介

式、线性方程组、矩阵的相关理论。具体包括以下内容: 因式分解和代数基本定理、行列式的定义和性质、行列式的计算方法、Cramer法则；向量空间、向量的线性相关性、线性方程组有解的判别定理、线性方程组解的结构等；矩阵的运算、逆矩阵和矩阵方程。

The course is an important professional basic course of the Financial Mathematics. It is the basic to study the course of modern algebra, differential equations and functional analysis.

The teaching objective of course is to provide students with the basic way of thinking and the system of knowledge of determinant, linear equations, matrix and so on. On the one hand, it enables students to know and master an important way of thinking about the modern mathematics in this course. And then provide some follow-up course for the basic theories and knowledge. On the other hand, it can improve the students’，ability of abstract thinking, logical reasoning and algebra capacity. It plays an important role in improving students’ thinking ability and developing intelligent students, strengthening the \"Three Basics\" (basic knowledge, basic theory and method) and cultivating students’ creative ability.

The main contents of this course are polynomial theory and linear algebra theory which is factorization and the fundamental theorem of algebra, determinant, linear equations and the theory of matrix. Specifically, this course includes the following contents: factorization and the fundamental theorem of algebra, the determinant of the definition and nature of the method of calculating the determinant, Cramer rule; vector space, vector of the linear correlation, linear equations solvable discriminant theorem, linear equations structure; matrix

654

统计学院

operations, inverse matrix and the matrix equation.

655

中英文课程简介

《高等代数II》课程中英文简介

Higher Algebra II

课程代码：120163A Course Code：120163A

课程名称：高等代数 Course Name：Higher Algebra

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：高等代数I Preparatory Courses：Higher Algebra I

本课程是金融数学专业的一门重要的专业基础课程，是学习近世代数、微分方程、泛函分析等课程的基础。

本课程的教学目标是，使学生获得数学的基本思想方法和二次型、线性空间、线性变换、欧氏空间等方面的系统知识。它一方面使学生熟悉和掌握本课程所涉及的现代数学中的重要思想方法，为后继课程提供一些所需的基础理论和知识；另一方面还能提高学生抽象思维、逻辑推理和代数运算的能力，对提高学生的思维能力，开发学生智能、加强“三基”（基础知识、基本理论、基本方法）及培养学生创造型能力等起到重要作用。

本课程的主要内容为线性代数理论，即二次型，线性空间、欧几里得空间的相关理论。

656

统计学院

具体包括以下内容:二次型的标准形、唯一性、正定二次型；线性变换的矩阵、基变换和坐标变换公式、线性变换的特征值及特征向量、矩阵的对角化；欧几里得空间、标准正交基、正交变换、实对称矩阵的标准形。

The course is an important professional basic course of the Financial Mathematics. It is the basic to study the course of modern algebra, differential equations and functional analysis.

The teaching objective of course is to provide students with the basic way of thinking and the system of knowledge of quadratic, linear space, linear transformations and Euclidean space. On the one hand, it enables students to know and master an important way of thinking about the modern mathematics in this course. And then provide some follow-up course for the basic theories and knowledge. On the other hand, it can improve the students’，ability of abstract thinking, logical reasoning and algebra capacity. It plays an important role in improving students’ thinking ability and developing intelligent students, strengthening the \"Three Basics\" (basic knowledge, basic theory and method) and cultivating students’ creative ability.

The main contents of this course are linear algebra theory which is the theory of quadratic, linear space, and Euclidean space. Specifically including the following contents: the Standard Form of Quadratic, Unique, positive definite quadratic; Linear transformation matrix, Based transformation and coordinate transformation formula, Linear transformation of values and eigen vectors, Diagonalization of Matrices, Euclidean space, orthonormal basis, orthogonal transformation, the

657

中英文课程简介

standard form of real symmetric matrices.

658

统计学院

《常微分方程》课程中英文简介

Ordinary Differential Equation

课程代码：120173A Course Code：120173A

课程名称：常微分方程 Course Name：Ordinary Differential Equation

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：数学分析 Preparatory Courses：Mathematical Analysis

高等代数 Advanced Algebra

常微分方程是伴随着微积分的产生和发展而成长起来的一门历史悠久的学科，是通过两个变量之间各阶导数的函数关系推断变量间的函数关系（方程的解）方法的一门系统知识，这种方法广泛应用在研究对象变量少或关系简单的系统建模中，并对解的存在和稳定给出结论，用以了解事物的内部本质联系。现在常微分方程在所有自然科学领域和众多社会科学领域中都有着广泛的应用，是从事各种科研活动的基本工具，也是经济类院校的基础课程。

Ordinary differential equation is a discipline with a long history which came

659

中英文课程简介

into being with the advent and development of calculus. It is a system of knowledge that functional relation between two variables’ higher order derivative infers the variables (Equations) method. This method widely used in the system modeling with variable of study subjects less or simple relationship, and drew the conclusion of the existence and stability of solve in order to understand the nature of things internal links. Now ordinary differential equation has a wide range of applications in all the natural sciences and many social sciences. It is a basic tool for researcher to engage in various kinds of research activities, and also a core curriculum for Economy College.

660

统计学院

《利息理论与应用》课程中英文简介

Theory of Interest and Its Application

课程代码：120203A/120203B Course Code：120203A/120203B

课程名称：利息理论与应用 Course Name：Theory of interest and its application

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试/考查 Assessment：Examination/Inspection

先修课程：数学分析 Preparatory Courses：Mathematical Analysis

概率论与数理统计 Probability and Statistics

微观经济学 Microeconomics

本课程为金融数学和统计学本科专业的学科基础课，同时也为经济分析本科专业的专业选修课。

本课程使学生能够掌握有关利息的基本概念、基本原理和实用的计算方法，能够运用所学理论知识确定债务偿还方式和债券与其他证券的价格和收益率，并在此基础上进行利息理论的应用和初步的金融分析，最终能够体会“货币具有时间价值”的深刻含义，为后

661

中英文课程简介

续的保险精算等与金融分析相关的课程打下扎实的基础。

本课程主要内容包括两部分：一部分是理论基础，包括利率的概述；利息的度量；等额年金；变额年金；另一部分是实际应用，包括投资收益分析；债务偿还方法；债券价值分析；利率风险及其防范；股票价值分析。

This curriculum is a basic course for the undergraduate majored in finance mathematics and statistics, simultaneously also a specialized elective course for the undergraduate majored in economic analysis.

The goal of establishing this curriculum is to enable the students to master the basic concept and principle and the practical computational method related to the interest and can utilize the theoretical knowledge to determine not only the debt refunding way but also the price and the returns ratio of the bond and the other securities. Based on these, the application of the theory of interest and the preliminary financial analysis can be carried on. The profound meaning of “the currency has the time value” can be realized finally. This curriculum also builds the solid foundation for the following the financial analysis related course such as insurance actuarial and so on.

This curriculum contains two parts. A part is the basic theory, including the outline of interest rate, interest measure, constant volume annuity and variable annuity. Another part is the practical application, including investment yield analysis, debt refunding method, bond value analysis, interest-rate risk and prevention and stock value analysis.

662

统计学院

《社会统计学》课程中英文简介

Social Statistics

课程代码：120222B/120223A Course Code：120222B/120223A

课程名称：社会统计学 Course Name：Social Statistics

学 时：32/48 Periods：32/48

学 分：2/3 Credits：2/3

考核分时：考查/考试 Assessment：Inspection/Examination

先修课程：概率论 Preparatory Courses：Probability Theory

数理统计学 Mathematical Statistics

非参数统计学 Non-parametric statistics

本课程教学目标是通过本课程的学习，掌握统计学的各种方法在社会研究领域的应用。能够针对具体的研究问题和研究目的设计完整的社会研究方案，选择恰当有效的统计分析方法，通过计算机对社会调查数据进行正确的统计分析，并能够对分析结果做出合理和恰当的解释。

本课程教学基本要求及内容是完整、清晰地讲授社会统计学基本概念、基本思想和基

663

中英文课程简介

本方法，使学生对社会统计学的内容体系有一个全面的认识；教学中注重理论与实践的结合，培养学生理论联系实践的能力；将社会调查、研究方法和统计学的方法有机地结合起来。

The teaching objective of this course is enable students to master a variety of statistical methods applied in the field of social research by learning the course. Designing a complete program of social research according to specific research questions and research objectives and selecting appropriate and effective methods of statistical analysis. Students can statistically analyze the social survey data by using computer, and can make a reasonable and appropriate explanation of the results.

The basic requirements and contents of this course are completely, clearly teaching the basic concepts, ideas and methods of social statistics, which enable students to have a comprehensive understanding of the content system of social statistics. In the course of teaching, laying much stress on the combination of theory and practice, and developing students’ ability to integrate theory with practice. Also social surveys, research methods and statistical methods will be organically combined.

664

统计学院

《实变函数与泛函分析》课程中英文简介

Functions of Real Variable & Functional Analysis

课程代码：120233A Course Code：120233A

课程名称： Course Name：

实变函数与泛函分析 Functions of Real Variable & Functional Analysis

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：数学分析 Preparatory Courses：Mathematical Analysis

高等代数 Advanced mathematics

实变函数起源于对连续而不可微函数以及Riemann可积函数等的透彻研究，在点集论的基础上讨论分析数学中一些最基本的概念和性质，其主要内容是引入Lebesgue积分并克服了Riemann积分的不足。它是数学分析的继续、深化和推广，是一门培养学生数学素质的重要课程，也是现代数学的基础。泛函分析起源于经典的数学物理边值问题和变分问题，同时概括了经典分析的许多重要概念，是现代数学中一个重要的分支，它综合运用了分析、代数与几何的观点和方法研究，其理论与方法具有高度概括性和广泛应用性的

665

中英文课程简介

特点。

Functions of real variable Origins from a thorough study of continuous and can not micro-functions and Riemann integrablefunction and so on. Based on the Point Set Theory, we discuss and analysis the basic concept and nature of mathematics. The main contents introduce Lebesgue integration and overcome the deficiencies of Riemann integration. It is the mathematical analysis to continue, deepen and promotion and an important curriculum of cultivating students mathematics quality. Also it is the foundation of modern mathematics. Functional analysis originated in classical mathematical physics boundary value problems and variation problem, while summarizes many important concepts of classical analysis as an important branch of modern mathematics. Functional analysis comprehensively uses the ideas and methods of analysis, algebra and geometry. Its theory and method has a high degree of generality and wide application of features.

666

统计学院

《数理统计》课程中英文简介

Mathematical Statistics

课程代码：120243A Course Code：120243A

课程名称：数理统计 Course Name：Mathematical Statistics

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：数学分析 Preparatory Courses：Mathematics Analysis

高等代数 Advanced Algebra

概率论 Probability Theory

一、课程的教学目标。学科基础课程，是概率论的后续课程。通过本课程的学习，使学生较好地掌握数理统计的基本概念、基本方法，并在一定程度上掌握数理统计认识问题、解决问题的方法，为进一步学习其他相关课程打下坚实的基础。

二、教学基本内容。1、样本与抽样分布：参数空间与分布族，直方图和箱线图，顺序统计量，抽样分布，总体服从正态分布时的几个重要的有关抽样分布的定理。2、参数估计：

667

中英文课程简介

点估计，基于截尾样本的最大似然估计，估计量的评选标准，一致最小方差无偏估计量，区间估计，单侧置信区间。3、假设检验：正态总体均值和方差的假设检验，置信区间与假设检验的关系，样本容量的选取，非正态总体参数的假设检验，分布函数的拟合检验，秩和检验，符号检验，p值检验法。4、方差分析与回归分析：单因素方差分析，双因素方差分析，一元线性回归，多元线性回归。5、bootstrap方法：非参数bootstrap方法，参数bootstrap方法。

Teaching Goal. Mathematical Statistics is the basic course of disciplines, as well as the successive course of Probability Theory. With this Curriculum we begin a study of basic concepts and some methods of Mathematical Statistics. Firm foundation will be set up and it will be helpful for further studies of the other relevant courses.

Basic content. 1、Sample and Sampling Distribution: The parameter space and a family of distributions; Histogram and Box plot; Order statistics; Sampling distribution; Some importance sampling distributions with Normal population. 2、Parameter Estimation: Point estimation; Maximum likelihood estimation based on censored sample; Evaluation criteria of estimators; the unbiased minimum variance estimator; Interval estimation; One-sided confidence interval. 3、Tests of Statistical Hypotheses: The test of statistical hypotheses of the mean and the variance with normal population; The relationship of confidence intervals and tests of statistical hypotheses; Selection of sample volume; The test of statistical hypotheses with non-normal population; Goodness of fit test for distribution of population; Rank sum test; Sign test，p-value test. 4、Analysis of Variance and Regression Analysis: One-way analysis of variances and two-way analysis of variances. Single variable

668

统计学院

linear regression model and multivariate linear regression. 5、Bootstrap Method: Non-parameter bootstrap method and parameter bootstrap method.

669

中英文课程简介

《随机过程》课程中英文简介

Stochastic Processes

课程代码：120253A Course Code：120253A

课程名称：随机过程 Course Name：Stochastic Processes

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：微积分 Preparatory Courses：Calculus

概率论 Probability Theory

线性代数 Linear Algebra

本课程介绍随机过程的基本理论和几类重要随机过程模型与应用背景，通过本课程的学习，使学生获得随机过程的基本知识和基本运算技能，同时培养和训练了学生运用数学方法分析和解决问题的能力，扩展了学生的数学知识，为进一步学习有关专业课程提供必要的数学基础。

本课程主要包括随机过程的基本概念（随机过程的分布函数、数字特征，复值随机过

670

统计学院

程，特征函数，多维正态分布），几种重要随机过程（独立过程，独立增量过程，二项过程，正态过程，维纳过程），马尔科夫过程（离散时间的马尔科夫过程定义及转移概率，C-K方程，马氏链的分布，遍历性与平稳分布，状态分类与分解，马氏链的应用，连续时间的马尔可夫链的定义与基本性质），泊松过程（定义（计数过程）与例子，泊松过程的叠加与分解，时间间隔与等待时间的分布，复合泊松过程，非齐次泊松过程），更新过程介绍，平稳随机过程（平稳过程及相关函数，随机微积分，谱密度）。

This course introduces the basic theory of stochastic processes and some important class of stochastic process models and application background. Through this course, students will obtain basic knowledge of stochastic processes and basic computing skills. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to further learn relevant courses.

The course will cover the basic concepts of stochastic processes (random process the distribution function, numerical characteristics, complex random process, characteristic function , multi-dimensional normal distribution), several important random process (independent process, independent increments process, two processes, normal processes, Wiener process), Markov process (discrete time Markov process definition and the transition probability , CK equation, Markov chain, distribution, ergodicity and stationary distribution, status, classification and decomposition of the application of Markov chains, continuous time Markov chain definition and basic properties), Poisson process (as defined in (counting process) and examples of the superposition and decomposition of

671

中英文课程简介

Poisson process, time interval and the waiting time distribution, compound Poisson process, nonhomogeneous Poisson process), the update process description, stationary random process (stationary process and related functions, stochastic calculus, spectral density).

672

统计学院

《统计学》课程中英文简介

Statistics

课程代码：120262A/120262B/ Course Code：120262A/120262B/

120263A*/120263B*/120264A** 120263A*/120263B*/120264A**

课程名称：统计学 Course Name：Statistics

学 时：32/48*/64** Periods：32/48*/64**

学 分：2/3*/4** Credits：2/3*/4**

考核方式：考试/考查/考试/考查/考试 Examination/Inspection/…

Assessment：

先修课程：概率论与数理统计 Preparatory Courses：

Probability and Mathematical Statistics

1.课程教学目标

本课程以理解统计思想为根本、讲授现代统计方法为手段，以使学生掌握收集、分析、解释数据等统计方法为目的。比较系统而扎实地掌握统计学中的基本概念、基本原理、基本技能，正确体会和理解统计学的基本思想。

673

中英文课程简介

2.教学基本要求及内容

准确、全面、通俗地讲解基本概念、基本思想和基本方法，使学生有一个正确而完整的统计学理论和方法框架；具体形象、生动活泼地实施课堂的理论教学，使学生在兴趣爱好中学习、体会统计思想，理解各种统计方法分析的目的、适用场合，杜绝统计方法的滥用。其主要内容包括：（一）统计基础理论;（二）应用数理统计; （三）应用多元统计分析; （四）应用时间序列分析; （五）非参数统计;（六）多指标综合评价等重要的、常用的内容。

1、The teaching objectives of the course

The foundation of this course is that to help students to understand the statistical ideas, though the way that to teach students the modern statistical theory. The purpose of the course is to help students master the statistical method including collection, analysis and interpretation of data. Though this course, students need to systematically master basic concepts, basic principles and basic skills in statistics, and to understand the basic ideas of statistics.

2、Basic requirements and contents in teaching

Though this course, teachers need to explain accurately and vulgarly the basic concepts, basic ideas and basic methods to students, make them create a Correct and complete frame about statistics; In the classroom, teachers must teach students statistical theory in a concrete and lively way, in order to make students study happily, understand statistical idea and the purpose and application range of

674

统计学院

various kinds of statistical methods, and avoid misuse of the statistical method.

Main content of this course includes: (a) statistical basis theory; (b) the application of mathematical statistics; (c) application of multivariate statistical analysis; (d) Application of time series analysis; (e) Non-parametric statistics; (f) multi-index contents.

comprehensive evaluation, and 675

other important and common 中英文课程简介

《应用数理统计》课程中英文简介

Applied Statistics

课程代码：120273A Course Code：120273A

课程名称：应用数理统计 Course Name：Applied Statistics

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：高等数学（或微积分） Preparatory Mathematics(Calculus)

Courses：Advanced

线性代数 Linear Algebra

概率论 Probability Theory

数理统计是一门应用性很强的数学学科，它研究如何有效地收集、整理和分析受到随机影响和干扰的数据，对所考虑的问题做出统计推断或预测，为采取决策和行动提供依据。凡是有大量数据出现的地方，都要用到数理统计。理解和掌握常用的数理统计思想和方法，是统计学院各专业学生必需的素质和能力之一。

676

统计学院

课程主要内容包括：数理统计的基本概念、抽样和抽样分布、参数估计、假设检验、方差分析、回归分析等。通过对本课程学习，使学生进一步较深入地掌握数理统计的基本理论和方法，培养运用数理统计的方法分析和解决有关实际问题的能力，并为今后学习后继课程打下必要的基础。

教学目标：通过本课程的学习，使学生：1、了解统计的基本思想和基本方法；2、掌握各种统计分析方法(参数估计、假设检验、回归分析、方差分析等)的应用条件、适用范围及其主要结论并能对计算结果进行解释；3、能正确使用各种统计分析方法研究、分析和解决实际应用中的相关问题。

Mathematics statistics is a mathematics subject that has strong application. Mathematics statistics researches how to collect, to arrange and to analyze data affected by random factors, and predict and forecast problems, and then provide foundation for decisions and actions. Mathematical statistics need to be used in any place where there are large amounts of data. Therefore, understanding and mastering common ideas and methods of mathematical statistics is an ability that must be mastered by students in school of statistics.

The main content of the course includes: the basic concepts of mathematical statistics, sampling and sampling distributions, parameter estimation, hypothesis testing, analysis of variance, regression analysis, etc. Though the learning of this course, students can further understand the basic theories and methods of Statistics, and can cultivate themselves the ability to analyze and solve practical problems using methods of mathematical statistics, and lay the necessary foundation for further studying the follow-up courses.

677

中英文课程简介

《保险精算基础》课程中英文简介

Insurance Actuarial Basis

课程代码：120283A/120283B Course Code：120283A/120283B

课程名称：保险精算基础 Course Name：Insurance Actuarial Basis

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试/考查 Assessment：Examination/inspection

先修课程： Preparatory Courses：

概率论与数理统计 Probability and Mathematical Statistics

随机过程 Stochastic Process

《保险精算基础》是以概率论和数理统计为基础，研究保险领域风险事件的出险规律、对保险业务中各种风险因素及其造成的损失进行分析预测，从而实现科学的风险管理。本课程主要内容分为两大部分：寿险精算与非寿险精算。寿险精算部分主要介绍利息理论、生命函数、生存年金、责任准备金等保险精算学的基础知识；非寿险精算部分主要介绍损失模型、保费厘定、非寿险准备金评估等相关知识。本课程以寿险精算为主，详细讨论寿险精算的基本原理和基本技术。

678

统计学院

通过本科程的教学，使学生初步了解目前我国保险精算业的发展现状，初步掌握寿险精算的基本理论、基本技能和基本方法，同时能独立处理常用的保险产品的计算问题，提高学生的应用能力和创新能力。

Based on the probability theory and mathematical statistics,\" Insurance Actuarial Basis \"studies the risk of incidents of dangerous condition in the insurance law area and analysis and predicts the various risk factors and its loss on the insurance business in order to achieve a scientific risk management. This course includes two parts: life insurance actuarial and non-life insurance actuarial. Life insurance actuarial section mainly introduces the basic science knowledge of the theory of life function, life annuity and actuarial liability reserves etc.; the part of non-life actuarial introduces loss model, premium determination, non-life reserve valuation and other related knowledge. This course mainly discussed the part of life insurance actuarial and the basic principles and techniques of life insurance actuarial will be discussed in detail.

Through this course, students initially know the present status of actuarial industry, grasp the basic theory, skills and methods of life insurance actuarial, and meanwhile are able to handle the calculation of insurance products commonly used. It will improve students’ ability to apply and innovation capability.

679

中英文课程简介

《抽样技术》课程中英文简介

Sampling Techniques

课程代码：120292A Course Code：120292A

课程名称：抽样技术 Course Name：Sampling Techniques

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考试 Assessment：Examination

先修课程： Preparatory Courses：

概率论与数理统计 Probability and Mathematical Statistics

微积分 Calculus

统计学初步 Introduction to Statistics Stat

抽样调查是从全部调查单位（即统计总体）中随机抽取一部分单位进行调查，并据此推断总体数量特征的一种非全面统计调查方法。通过本课程的教学，使学生能系统正确地了解抽样调查的理论基础和基本概念，掌握几种基本的抽样方法及估计方法，培养学生初步具有分析不同样本数据的能力，为学生进一步学习相关课程打下良好的基础。本课程主

680

统计学院

要内容包括抽样调查的基本原理、简单随机抽样、分层抽样、整群抽样、等距抽样等基本抽样方法，简单估计、比估计、回归估计等估计方法，以及多阶抽样、二重抽样及非抽样误差等内容。重点讲授基本的抽样方法和基本的估计方法，其它内容简单讲解，对部分难点问题详细讲解。教学方法上以讲授为主，通过例题、讨论等帮助学生加强理解基本概念和方法。

Sampling survey is a non-comprehensive sample survey methodology which extracts part of the investigation unit from all the survey units (i.e. statistical population) in the random, and infers quantities attribute of population according to this. Through learning this course, students can understand the theoretical basis and key concept of sampling survey systematically and correctly, and master some basic methods of sampling and estimation methods. So this can cultivate students with preliminary capacity of analysis different sample data and lay a solid foundation for students to further study relevant courses. This course covers the basic sampling methods such as the basic principles of sampling, simple random sampling, stratified sampling, cluster sampling and interval sampling, also covers some estimation methods such as simple estimates, ratio estimate, regression estimation, and multi-stage sampling, double sampling and non-sampling errors. This course focused on teaching the basic methods of sampling and basic estimation method. So other contents are explained simply and elaborately explained some difficult problems. The main teaching method is lecture which help students strengthen understanding of the basic concepts and methods by example and discussions.

681

中英文课程简介

《抽样技术与应用》课程中英文简介

Sampling Techniques and Applications

课程代码：120302A Course Code：120302A

课程名称：抽样技术与应用 Applications

Course Name：Sampling Techniques and

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考试 Assessment：Examination

先修课程： Preparatory Courses：

概率论与数理统计 Probability and Mathematical Statistics

微积分 Calculus

统计学初步 Introduction to Statistics Stat

抽样调查是从全部调查单位（即统计总体）中随机抽取一部分单位进行调查，并据此推断总体数量特征的一种非全面统计调查方法。通过本课程的教学，使学生能系统正确地了解抽样调查的理论基础，掌握几种基本的抽样方法及估计方法，了解各种方法的应用条

682

统计学院

件及特点，培养学生初步具有分析不同样本数据的能力，为学生进一步学习相关课程打下良好的基础。本课程主要内容包括抽样调查的基本原理、简单随机抽样、分层抽样、整群抽样、等距抽样等基本抽样方法，简单估计、比估计、回归估计等估计方法，以及多阶抽样、二重抽样及非抽样误差等内容。重点讲授基本的抽样方法和基本的估计方法，其它内容简单讲解。对部分难点问题详细讲解，教学方法上以讲授为主，通过例题、讨论等帮助学生加强理解基本概念和方法。

Sampling survey is a non-comprehensive sample survey methodology which extracts part of the investigation unit from all the survey units (i.e. statistical population) in the random, and infers quantities attribute of population according to this. Through learning this course, students can understand the theoretical basis and key concept of sampling survey systematically and correctly, and master some basic methods of sampling and estimation methods. So this can cultivate students with preliminary capacity of analysis different sample data and lay a solid foundation for students to further study relevant courses. This course covers the basic sampling methods such as the basic principles of sampling, simple random sampling, stratified sampling, cluster sampling and interval sampling, also covers some estimation methods such as simple estimates, ratio estimate, regression estimation, and multi-stage sampling, double sampling and non-sampling errors. This course focused on teaching the basic methods of sampling and basic estimation method. So other contents are explained simply and elaborately explained some difficult problems. The main teaching method is lecture which help students strengthen understanding of the basic concepts and methods by example and discussions.

683

中英文课程简介

《风险理论分析》课程中英文简介

Risk Theory Analysis

课程代码：120333A/120333B Course Code：120333A/120333B

课程名称：风险理论分析 Course Name：Risk Theory Analysis

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试/考查 Assessment：Examination/Inspection

先修课程： Preparatory Courses：

概率论与数理统计 Probability and Mathematical Statistics

随机过程 Stochastic Process

风险理论是对保险经营中所面临的各种风险进行数理分析的理论，并为现实的保险经营中进行有效的风险分析和控制提供技术支持。本课程主要介绍损失分布理论、短期个体风险模型、短期聚合风险模型、长期聚合风险模型、效用理论与决策、随机模拟等。

通过本课程的学习，要求学生掌握非寿险精算中一些经典风险理论的基本内容，包括个体风险模型，聚合风险模型、破产理论、期望效用理论、损失分布的贝叶斯方法与随机

684

统计学院

模拟，了解现代精算理论的热点问题。并希望学生能够理论联系实际，利用风险理论的知识处理保险风险管理的相关问题，从而为今后的学习与工作打下坚实的基础。

Risk theory is a theory that applies mathematical analysis to various risks faced by the insurance business, and provides technical support to analysis and control the risk effectively in the reality of insurance operations. This course mainly introduces the theory of loss distribution, short-term risk model, short-term aggregate risk model, long-term aggregate risk model, utility theory and decision making, stochastic simulation and so on.

Through this course, students are required to master the basic contents of some classic theories in the non-life insurance actuarial. It includes individual risk model, aggregate risk model, ruin theory, expected utility theory, loss distributions and the Bayesian Approach to Stochastic Model, which makes students understand modern actuarial theory of hot issue at the same time. And students are expected to integrate theory with practice, to use knowledge of risk theory handling problems related to insurance and risk management so as to lay a solid foundation for the future learning and work.

685

中英文课程简介

《概率论与数理统计I II》课程中英文简介

Probability theory and Mathematics Statistics I

课程代码：120344A/120354A Course Code：120344A/120354A

课程名称： Course Name：

概率论与数理统计I II Probability theory and Mathematics IStatistics I II

学 时：64 Periods：64

学 分：4 Credits：4

考核方式：考试 Assessment：Examination

先修课程：微积分 Preparatory Courses：calculus

概率论是一门研究随机现象统计规律性数量关系的数学学科，而数理统计是研究如何有效地收集整理和分析随机影响的数据，并做出统计推断、预测或者决策的一门学科，它是以概率论为基础的。概率论与数理统计课程是学生由确定性思维进入随机性思维的入门课程、也是大学唯一的一门进行随机思维培养和训练的课程，是整个随机数学这个庞大体系的基石。通过对本门课程的学习，不仅为其他专业课的学习提供有力工具（如西方经济学），而且可以掌握一定的随机思维，拓宽学生的视野，从根本上改变和完善学生的思维方式使学生对定性与定量方法的理解上一个更高的层次，启发学生的想象力及创造力，培养学生观察、分析、解决问题的能力。本课程涉及的知识面广泛，与实践联系紧密，是应用

686

统计学院

性较强的一门课程。

Probability theory is a mathematics discipline of studying of the quantitative relation of statistical regularity of random phenomena, while mathematical statistics based on Probability theory is a discipline which studies how to compile and analyze data of random influence effectively and makes statistical inference, forecasting, or decision-making. Probability and mathematical statistics is an introductory course for students from deterministic thought to random thought, also is the only course that teach and practice random thought in University, and is the foundation of this huge system in all random mathematics. Through this course, students not only learn powerful tool for other professional courses (for instance economics), but also master random thought in some degrees and broaden their horizons. It fundamentally changes and improves the thinking way for students so that they can understand the qualitative and quantitative methods to a higher level, inspires students’ imagination and creativity, and cultivates students’ abilities to observe, analyze and problem-solving. This course covers a broad range of knowledge, closely links with the practice, and has a wide application.

687

中英文课程简介

《经济统计学》课程中英文简介

Economical Statistics

课程代码：120373A/120373B Course Code：120373A/120373B

课程名称：经济统计学 Course Name：Economical Statistics

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试/考查 Assessment：Examination/inspection

先修课程：统计学、政治经济学 Preparatory Courses：Statistics, Political Economy

微观经济学、宏观经济学 Microeconomics, Macroeconomics

金融学 Finance

经济统计学是统计学专业的专业课，也可以成为经济类各专业的一门专业选修课。经济统计学是以国民经济为研究范围，有关搜集、整理和分析研究国民经济数量方面的统计方法论。在围绕国民经济核算体系的中心框架教学的同时，注重培养学生依据经济理论并借助国民经济核算资料分析现实经济问题的能力，从而有助于学生正确把握国民经济运行规律，为后续的宏观经济统计分析、统计专题等课程的学习奠定基础。

688

统计学院

国民经济统计学是从反映国民经济整体运行情况出发，把生产、收入分配、财政、金融、价格、人口与人力资源、对外经济往来等各项经济统计融为一体，搜集、整理和分析研究上述经济统计相互之间紧密内在联系的数量方面的统计方法论。通过本课程的学习，使学生在了解国民经济核算的基础上掌握国民经济统计学的基本研究思路和研究内容，从而有助于学生全面了解和分析国民经济运行规律，提高认识经济现象本质的能力。

Economical Statistics is a specialized course for statistics and can also be specialized elective courses for each profession in economics. Economical statistics take national economy as its study scope, which is a statistical methodology related to collection, collation and analysis of the national economy quantitative aspects. While teaching around with the center framework of National Economic Accounting System, we also pay attention to students' ability that is based on economic theory and national accounts data to analyze the real economy problems. To help students grasp the correct law of national economy, this will lay the foundation for such courses of studying macroeconomic statistics for the follow-up analysis and statistical topics.

National statistics reflected the overall operation conditions of the national economy, which combined production, income distribution, fiscal, financial, price, population and human resources, foreign exchange and other economic statistics into a economic integration. It is a statistical methodology related to collection, collation and analysis of the national economy quantitative aspects of the economic statistics close intrinsic link above. Through the course of study, students understand the basic research ideas and research content of the national accounts statistics based on understanding of National Economic Accounting

689

中英文课程简介

System. Thus this will help students to understand and analyze National economic law comprehensively, to raise ability to aware of the nature of economic phenomena.

690

统计学院

《描述统计学》课程中英文简介

Descriptive statistics

课程代码：120382A Course Code：120382A

课程名称：描述统计学 Course Name：Descriptive statistics

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考试 Assessment：Examination

先修课程：概率论 Preparatory Courses：Probability Theory

本课程教学目标是以理解统计思想为根本，讲授初级统计方法，以使学生理解统计学的研究对象，掌握收集、整理、分析数据等初级统计方法，比较系统地掌握绘制统计图表的基本技能。

教学基本内容及要求：准确、全面、通俗地讲解描述统计学的基本概念、基本思想和基本方法，使学生有一个正确而完整的初级统计学理论和方法框架；完整地讲授课程内容，生动活泼地组织课堂教学，结合实践活动讲解理论知识。根据各章节的教学内容，及时给学生指定相应的参考文献、参考书目，以及课堂练习和课后作业。

This curriculum teaching goal is based on understanding the statistical

691

中英文课程简介

thought. Teaching the primary statistical method to enable students to understand the object of study of statistics and master primary statistical methods such as collect, collate and analyze data, etc. The basic skills on drawing statistical chart were systematically mastered.

Teaching basic content and request: explaining the basic concept and idea and the essential method of descriptive statistics accurately, comprehensively and popularly to enable the student to have a correct and complete primary statistics theory and method frame. Teachers teach this curriculum content completely and organize the classroom instruction briskly with union practice explanation theoretical knowledge. According to various chapters' course content, teachers assign the corresponding reference, the bibliography to students in time, as well as classroom practice and assignments.

692

统计学院

《商务统计与分析》课程中英文简介

Business Statistics and Analysis

课程代码：120392A/120392B Course Code：120392A/120392B

课程名称：商务统计与分析 Course Name：Business Statistics and Analysis

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考试/考查 Assessment：Examination/inspection

先修课程：统计学、多元统计 Preparatory Courses：Statistics, Multivariate Statistics

商务统计与分析是一门以经济管理理论为基础，以数理统计学为方法基础，研究社会和经济管理问题的应用学科。具体讲，这门课程是讲授如何收集、加工、整理和分析数据，并将分析得出的信息应用于经济管理活动的辅助决策。本课程在介绍基本的数理统计方法的基础上，着重强调统计方法在经济管理活动中的应用性，此外，考虑到数据收集对工商管理活动的重要作用，本课程还专门对传统的商务统计学内容加以扩展，增加了部分抽样调查内容，对学生传授基本的抽样调查方法和技巧。除常规课堂讲授方法外，本课程还采用案例教学和实验设计的方法帮助学生更好理解这门课程的应用性。此外，还将介绍常用的统计软件，通过上机学习让学生掌握商务统计方法的软件操作。

693

中英文课程简介

Business Statistics and analysis is an application course based on the theory of economic management and the methods of mathematical statistics which study social and economic management issues. Specifically, this course is taught how to collect, process, organize and analyze data, and applied analysis of information to aid decision-making of economic management activities. This course introduces the basic methods of mathematical statistics based on the emphasis on statistical methods in the application of economic management activities. In addition, taking into account the data collection activities which play an important role on Business Administration, the course is specially expanded to the contents of the traditional business statistics. Take for example, some contents of data from the sample survey were increased which give students the basic sampling methods and techniques. In addition to conventional classroom teaching methods, this course also uses case studies and experimental design methods to help students to understand the applicability of this course better. Also statistical software commonly used will be introduced. By the business machine learning, students will master soft operation of statistical methods.

694

统计学院

《时间序列分析》课程中英文简介

Time Series Analysis

课程代码：120403A Course Code：120403A

课程名称：时间序列分析 Course Name：Time Series Analysis

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：高等数学 Preparatory Courses：Advanced mathematics

概率论和数理统计 Probability and Mathematical Statistics

随机过程 Random Process

回归分析 Regression Analysis

时间序列分析是概率统计学科中应用性较强的一个分支，在金融经济、气象水文、信号处理、机械振动等众多领域有着广泛的应用。本课程是反映和分析随机过程的数量特征和数量规律的方法论学科，是概率统计学和金融数学专业学生和研究人员必须掌握的认识工具。通过本课程的学习，使学生掌握时间序列的基本概念以及时序的分类，学会对具体

695

中英文课程简介

时序的分析步骤与建模方法，进而掌握如何判断已建立模型与原来数据的适应性及对未来值的预报。简单为学生介绍谱分析的基本思想，为学生进一步学习有关专业课程作好准备。

课程的主要内容包括时间序列的概念、时间序列的种类、平稳序列与非平稳序列、三种平稳序列的特性、平稳时间序列模型的建立、平稳序列均值和自协方差的估计，平稳序列模型参数的估计等。

Time series analysis is a branch of probability and statistics subjects which has strong application in financial economy, meteorology and hydrology, signal processing, mechanical vibration and other fields. This course is a methodology subject which reflects and analysis the number features and Quantity rules of random process. It is a tool which students and researchers majored in probability statistics and financial mathematics must get to know. Through learning this course, students master the basic concepts and the classification of time series, also the analysis steps and modeling method of the specific time series. And then students should master how to decide the adaptability between the built model and the original data and the forecasting of future values. This course will simply introduce students to the basic idea of spectral analysis and prepare students to further learn about the professional courses.

The main idea of this course includes the concept of time series, time series type, stationary series and non-stationary series, three features of stationary series, modeling stationary time series, the estimation of stationary series mean and auto covariance and the estimation of model parameters of the smooth sequence.

696

统计学院

《市场调查》课程中英文简介

Market Survey

课程代码：120413A Course Code：120413A

课程名称：市场调查 Course Name：Market Survey

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：统计学、抽样技术 Preparatory Courses：Statistics, Sample Survey

本课程系统介绍调查的基本理论、基本方法和技术。主要内容包括：有关调查的基本概念和原理；调查方案设计的方法和技术；抽样设计的基本理论与方法；问卷设计理论、方法与技巧。

本课程的主要目标是使学生能够理论联系实际，熟悉科学的市场调查，掌握一定的操作技能。

This course introduces the basic theory, methods and techniques of surveys. The main contents include: the investigation of the basic concepts and principles; survey program design methods and techniques; the basic theories and methods

697

中英文课程简介

of sampling design; the theory, methods and techniques of questionnaire design.

The main objective of this course is to enable students to integrate theory with practice, familiar with the science of market research and master certain skills in the operation.

698

统计学院

《实验设计与质量控制》课程中英文简介

Statistical Quality Control

课程代码：120422A Course Code：120422A

课程名称：统计质量控制 Course Name：Statistical Quality Control

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考试 Assessment：inspection

先修课程：微积分 Preparatory Courses：Calculus

线性代数 Linear Algebra

概率论与数理统计 Probability and Mathematical Statistics

质量管理是统计学的一个重要应用领域，统计方法是质量管理中的核心技术。本课程按照质量管理的过程，系统介绍质量控制和过程改进中的现代统计方法，综合概括了统计方法运用于质量管理实践的原则、概念和艺术。本课程是为统计学院的统计学和经济分析专业开设的一门必修课。通过介绍统计质量控制的专门知识和相关案例，培养学生理论联系实际、从统计的观点理解质量管理问题、用统计方法解决质量管理问题的能力。要求同学理解和掌握质量管理不同阶段所用统计方法的基本原理和相关技术，并能够熟练运用

699

中英文课程简介

SPSS等统计软件解决实际质量管理问题。本课程按质量管理的三个阶段：试验设计、过程控制、抽样检验，分别介绍各阶段所用的统计方法。主要包括过程识别和优化的设计方法、过程监控的统计方法、过程的稳健性研究、抽样检验方案的设计方法、一些流行的质量管理理念，如6σ。

Quality management is an important field of statistics and statistical method is the core technology of quality management. According to the quality management process, this course systematically introduced the modern statistical methods of quality control and process improvements, and comprehensively summarized the principles, concepts and art of statistical methods used in the practice of quality management. This course is an obligatory curriculum for students major in Statistics and economic analysis in School of Statistics. This course introduces statistical quality control by the expertise knowledge and related cases, cultivates students integrate theory with practice, understand the quality of management from a statistical point of view, and applies statistical soft as SPSS solve the practical problems of quality management. According to the three phases of quality management: experimental design, process control, sampling inspection, this course respectively introduce the statistical methods used in each stages. It includes process identification and optimization of design methods, the statistical methods of process monitoring, the process of robust research, the design method of sampling inspection and some popular quality management ideas as 6σ.

《数理金融》课程中英文简介

700

统计学院

Mathematical Finance

课程代码：120433A Course Code：120433A

课程名称：数理金融 Course Name：Mathematical Finance

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：微积分 Preparatory Courses：Calculus

线性代数 Linear Algebra

概率论与数理统计 Probability Theory and Mathematical Statistics

金融学 Finance

数理金融是研究证券组合选择和资产定价理论的数理经济分支，研究如何利用现代数理方法对金融制度进行分析，实现金融工具创新的一门新兴学科。本课程涵盖数理金融的基本理论知识，核心内容是Black-Scholes期权定价公式、套利定价理论、资本资产定价模型、风险价值理论、最优资产组合原理和期权定价模型等。本课程的教学目标是使学生了解和掌握从事金融工程、理财等实务工作所需的数理金融的基本理论知识，熟悉数学分析方法和模型在金融学中的应用，并具备一定的分析和解决金融实际问题的能力，为以后

701

中英文课程简介

从事理论研究和实际工作奠定厚实的基础。

Mathematical Finance is a branch of mathematical economics which researches securities portfolio selection and asset pricing theory，and is a rising subject that researches how to apply modern mathematical methods to analyze finance institution and create new finance tools. The course covers the basic theory of Mathematical Finance, and the core is Black-Scholes option pricing formula, arbitrage pricing theory, the capital asset pricing model, value at risk theory, optimal portfolio theory and options pricing model. Its teaching objectives is to make students understand and master the basic theory of Mathematical Finance required for financial engineering, financing and other practice work, familiar with the methods of mathematical analysis and mathematical models which are applied in finance, gain the certain ability of analyzing and resolving financial practical problems, and establish strong theory basis for theoretical research and practical work in future.

702

统计学院

《应用多元统计分析》课程中英文简介

Apply Multivariate Analysis

课程代码：120444A Course Code：120444A

课程名称：应用多元统计分析 Course Name：Apply Multivariate Analysis

学 时：64 Periods：64

学 分：4 Credits：4

考核方式：考试 Assessment：Examination

先修课程：概率论与数理统计 Preparatory Courses：Probability and Statistics

线性代数 Linear Algebra

应用多元统计是对多元变量进行处理和分析的主要方法。本课程的特点是不以多元统计的数学理论和推导为主，而是在学生了解多元统计的基本概念和基本理论的基础上，介绍每种多元分析的基本原理和思路，教会学生能够处理和分析多元数据。本课程达到的教学目标是：增强学生实际动手解决问题的能力，学会利用统计软件处理实际多元数据。

本课程的主要内容包括两大部分：一是理论部分有关统计量的分布、多元正态总体的参数估计和假设检验；二是方法部分，包括：多元方差分析、聚类分析、判别分析、主成分分析与因子分析、列联分析与对应分析、典型相关分析、路径分析、结构方程。其理论

703

中英文课程简介

部分只需要介绍，不作深入的讲授，而授课的重点在于每一种多元的分析方法，包括：每种方法的基本原理、应用前提、统计软件的实现及输出结果的理解和解释，并能给出结论。其中带*号的章节内容可视学生的情况作为选学的内容。

Applied multivariate statistical is a kind of method used to deal with and analyze multivariate. The emphasis of this course is not mathematical theory or the derivation, but to introduce basic principles and ideas of each multivariate analysis, based on the understanding of basic concepts and theories in multivariate statistics, which is the feature of the subject. The course can teach students to deal with and analyze multivariate data.

The content of the course mainly includes two parts: the first part is related theories including distribution of statistics, multivariate normal population parameter estimation and hypothesis testing. The second part is related method including multivariate analysis of variance, cluster analysis, discriminant analysis, principal component analysis and factor analysis, analysis of the column together with correspondence analysis, canonical correlation analysis, path analysis, structural equation. The focus of theoretical part is introduction of calculation method including basic principles, applications premise, implementation of statistical software and understanding and interpretation of output.

704

统计学院

《应用回归分析》课程中英文简介

Applied regression analysis

课程代码：120452A Course Code：120452A

课程名称：应用回归分析 Course Name：Applied regression analysis

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考试 Assessment：Examination

先修课程：统计学 Preparatory Courses：Statistics

《应用回归分析》课程是统计学专业的一门专业课，也可作为经济管理类专业本科生的选修课。回归分析在自然科学、管理科学和社会、经济等领域应用十分广泛。本课程的主要目的是学生在学习后，能够系统在学习回归分析的理论与方法的基础上，真正掌握回归分析应用的艺术技巧，并利用其分析认识实际问题。

本课程注重于通过实例来剖析回归分析的理论与方法所蕴含的统计思想及其应用艺术。教学中应在回归分析理论与方法的基础上结合社会、经济、自然学科学领域的研究实例，把回归分析方法与实际应用结合起来，注重定性分析与定量分析的紧密结合，强调每种方法的优缺点和实际运用中应注意的问题，使学生充分体会到回归分析的应用艺术，并提高解决问题的能力。

705

中英文课程简介

Regression analysis course is a subject in statistics professional, and can be as elective course for bachelor of economics and management. Regression analysis has a wide range of applications in science, scientific management, society, economic and other fields. The aim to the course is, based on the basis of learning Theories and Methods of regression analysis, to direct students to master art skills about application of regression analysis and to analyze and understand practical problems.

The course analyzes statistical ideas and applied arts in theory and methods of regression analysis through examples. In the process of teaching, based on the theory and methods of regression analysis teachers should associate the cases concerning society, economic and natural sciences with regression analysis methods and practical applications. The course emphasizes the close combine between qualitative analysis with quantitative analysis, and advantages and disadvantages of each method, and the problems that we should pay attention to in practice. In addition, the course will make students fully appreciate applied arts of regression analysis, and help them to improve their ability to solve real problem.

706

统计学院

《应用时间序列分析》课程中英文简介

Time Series Analysis

课程代码：120463A Course Code：120463A

课程名称：应用时间序列分析 Course Name：Time Series Analysis

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考试 Assessment：Examination

先修课程：高等数学 Preparatory Courses：Mathematics

概率论和数理统计 Probability Theory and Mathematical Statistics

随机过程 Stochastic Processes

回归分析 Regression Analysis

应用时间序列分析是概率统计学科中应用性较强的一个分支，在金融经济、气象水文、信号处理、机械振动等众多领域有着广泛的应用。本课程是反映和分析随机过程的数量特征和数量规律的方法论学科，是概率统计学和金融数学专业学生和研究人员必须掌握的认识工具。通过本课程的学习，使学生掌握时间序列的基本概念以及时序的分类，学会对具

707

中英文课程简介

体时序的分析步骤与建模方法，进而掌握如何判断已建立模型与原来数据的适应性及对未来值的预报。简单为学生介绍谱分析的基本思想，为学生进一步学习有关专业课程作好准备。

课程的主要内容包括时间序列的概念、时间序列的种类、平稳序列与非平稳序列、三种平稳序列的特性、平稳时间序列模型的建立、平稳序列均值和自协方差的估计，平稳序列模型参数的估计等。

Time Series Analysis is a branch of probability statistics that has strong application. It has wide application areas including financial and economic, meteorological and hydrological, signal processing, mechanical vibration and so on. The course is a methodology subject that to reflect and analyze quantitative characteristics and quantitative laws that reflecting and analyzing random process, and is a tool that must be mastered by probability statistics, financial mathematics students and researchers. Though the learning of this course, students can master basic concept and classification of time series, learn the steps of analysis and modeling method, and then master how to judge the model established whether fit to the original data and predictive value. Teachers can briefly introduced the basic idea of spectral analysis, help students to lay the foundation in order to make further studying relevant courses.

The main content of the course includes: the concept of time series, time series type, stationary series with non-stationary series, three stationary series features model stationary time series, stationary series mean and covariance estimates from the smooth sequence estimation of model parameters.

708

统计学院

《应用随机过程》课程中英文简介

Applied Random Process

课程代码：120472A Course Code：120472A

课程名称：应用随机过程 Course Name：Applied Random Process

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考试 Assessment：Examination

先修课程：微积分 Preparatory Courses：Calculus

概率论 Probability Theory

线性代数 Linear Algebra

本课程介绍随机过程的基本理论和几类重要随机过程模型与应用背景，通过本课程的学习，使学生获得随机过程的基本知识和基本运算技能，同时培养和训练了学生运用数学方法分析和解决问题的能力，扩展了学生的数学知识，为进一步学习有关专业课程提供必要的数学基础.本课程主要包括随机过程的基本概念（随机过程的分布函数、数字特征，复值随机过程，特征函数，多维正态分布），几种重要随机过程（独立过程，独立增量过程，二项过程，正态过程，维纳过程），马尔科夫过程（离散时间的马尔科夫过程定义及转移概

709

中英文课程简介

率，C-K方程，马氏链的分布，遍历性与平稳分布，状态分类与分解，马氏链的应用），泊松过程（定义（计数过程）与例子，泊松过程的叠加与分解，时间间隔与等待时间的分布，复合泊松过程，非齐次泊松过程）。

This course introduces the basic theory of stochastic processes and some important class of stochastic process models and application background. Through this course, students will obtain basic knowledge of stochastic processes and basic computing skills. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to further learn relevant courses. The course will cover the basic concepts of stochastic processes (random process the distribution function, digital features, complex random process, characteristic function , multi-dimensional normal distribution), several important random process (independent process, independent increments process, two processes, normal processes, Wiener process), Markov process (discrete time Markov process definition and the transition probability , CK equation, Markov chain, distribution, ergodicity and stationary distribution, status, classification and decomposition, Markov chain applications), Poisson process (as defined in (counting process) and the example of the superposition and decomposition of Poisson process, the time interval and the waiting time distribution, compound Poisson process, nonhomogeneous Poisson process.

710

统计学院

《多变量统计方法》课程中英文简介

Multivariate Analysis

课程代码：120524B Course Code：120524B

课程名称：多变量统计方法 Course Name：Multivariate Analysis

学 时：64 Periods：64

学 分：4 Credits：4

考核方式：考查 Assessment：Inspection

先修课程：概率论与数理统计 Preparatory Courses：Probability and Statistics

线性代数 Linear Algebra

多变量统计方法是对多变量进行处理和分析的主要方法。本课程是针对经济管理类学生设定的，其特点是不以多变量统计的数学理论和推导为主，而是在学生了解多变量统计的基本概念和基本理论的基础上，介绍每种多变量分析的基本原理和思路，教会学生能够处理和分析多变量数据。本课程达到的教学目标是：增强学生实际动手解决问题的能力，学会利用统计软件处理实际多变量数据。

本课程的主要内容包括两大部分：一是理论部分有关统计量的分布、多元正态总体的参数估计和假设检验；二是方法部分有多元方差分析、聚类分析、判别分析、主成分分析

711

中英文课程简介

与因子分析、列联分析与对应分析、典型相关分析、路径分析、结构方程。其理论部分只需要介绍，不作深入的讲授，而授课的重点在于每一种多元的分析方法，包括：每种方法的基本原理、应用前提、统计软件的实现及输出结果的理解和解释，并能给出结论。其中带*号的章节内容可视学生的情况作为选学的内容。

Multivariate Analysis is the main method in processing and analyzing of multivariate. This course is for students majored in economics and management, which is characterized not mainly on mathematical theory and derivation of multivariate, but rather on the description of each multivariate analysis of the basic principles and ideas and enable students to process and analyze multivariate data which based on the students understand the basic concepts and theories of multivariate statistics. The teaching objectives of this course are to enhance students’ hands-on problem-solving skills and learn handling multivariate data with statistical software.

This course contains two parts. First is theoretical part of the distribution of the statistics, the parameter estimation and hypothesis testing of multivariate normal population; second is the methodology part such as multivariate analysis of variance, cluster analysis, discriminant analysis, principal component analysis and factor analysis, Conjoint analysis and correspondence analysis, canonical correlation analysis, path analysis and structural equation. The theoretical part of the description only, not for in-depth instruction. And lectures focused on the analysis every kind of multiple methods, including the basic principles, application of the premise and implementation of statistical software of each method, also the output of statistical software to achieve the understanding and interpretation of

712

统计学院

results and can give conclusions. One section with * the content depends on students’ learning content as an option.

713

中英文课程简介

《测度论》课程中英文简介

Measure theory

课程代码：120502B/120503B Course Code：120502B/120503B

课程名称：测度论 Course Name：Measure theory

学 时：32/48 Periods：32/48

学 分：2/3 Credits：2/3

考核方式：考查 Assessment：Inspection

先修课程：数学分析 Preparatory Courses：Mathematical analysis

实变函数 Functions of Real Variable

泛函分析 Functional Analysis

测度论是现代数学的一个重要分支，它的奠基人是法国数学家Lebesgue(1875-1941)。到20世纪30年代，测度与积分理论已趋于成熟，Kolmogorov 1923年用测度论的方法建立了概率论的公理化体系，奠定了现代概率论的数学基础。现代概率论的各个分支，特别是随机过程论和金融数学，无不以测度论为基础；数理统计的很多基本概念和问题的解决方法也离不开测度论。主要概念有半环、σ-域、可测函数、测度和概率、可测函数的积分、条件数学期望、符号测度、乘积空间。主要定理有：单调类定

714

统计学院

理、测度扩张定理、积分收敛定理、Radon-Nikodym定理、Fubini定理、Kolmogorov 相容性定理、Prohorov定理。

Measure theory is an important branch of modern mathematics and the founder of this theory is the French mathematician Lebesgue (1875-1941). In 1930s, the theory of measure and integral was mature. The axiomatic system of probability theory was established by Kolmogorov in 1923, which laid the mathematical foundations of modern probability theory. The various branches of modern probability theory, in particular stochastic process theory and financial mathematics, all are on the basis of laid the mathematical foundations of modern probability theory; Many of the basic mathematical concepts and statistical solution to the problem can also not do without measure theory. The main concept include: semiring, σ-field, measurable functions, measure and probability, the integral of measurable functions, conditional expectation, signed measures, product space. Main theorems are: monotone class theorem, measure extension theorem, integral convergence theorems, Radon-Nikodym Theorem, Fubini Theorem, Kolmogorov Consistency Principle, Prohorov Theorem.

715

中英文课程简介

《调查技术与应用》课程中英文简介

Survey and Apply

课程代码：120533B Course Code：120533B

课程名称：调查技术与应用 Course Name：Survey and Apply

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：统计学、抽样技术 Preparatory Courses：Statistics, Sample Survey

在现代社会中，调查是准确及时地捕捉有用信息的基本工具，特别是利用计算机辅助电话调查系统进行调查是现代调查中最常用的方法之一。本课程重点介绍计算机辅助电话调查系统，主要内容包括：方案设计的方法和技术；抽样设计的基本方法；问卷设计理论、方法与技巧；计算机辅助电话调查的使用方法。

本课程的主要目标是使学生能够理论联系实际，熟悉科学的计算机辅助电话调查方法，掌握一定的操作技能。

The survey is the basic tools to accurately capture the useful information in a timely manner in modern society. Especially, using of computer-assisted telephone

716

统计学院

survey systems survey is the most commonly modern survey methods. The main contents include: design methods and techniques; the basic method of sampling design; the theory, methods and techniques of questionnaire design; the methods of using computer-assisted telephone survey.

The main objective of this course is enable students to integrate theory with practice, familiar with the science of computer-assisted telephone survey methods, master operational skills to some degrees.

717

中英文课程简介

《宏观经济统计分析》课程中英文简介

Macroscopic Economic Statistics Analysis

课程代码：120543B Course Code：120543B

课程名称：宏观经济统计分析 Course Name：Macroscopic Economic Statistics Analysis

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：国民经济核算原理 Preparatory Courses：National Accounting Principles

统计学原理 Atatistical Theory

多元统计分析 Multivariate Statistical Analysis

经济学 Economics

计量经济学 Econometrics

718

统计学院

宏观经济统计分析是统计学专业的专业选修课之一，它主要是运用宏观经济理论和统计思想、统计分析逻辑，构建宏观经济问题的实证统计分析框架体系。本课程密切联系我国宏观经济的现实问题，依据有关经济学理论确定统计分析框架，然后搜集统计数据，运用统计方法进行深入分析和科学论证。通过本课程的学习和初步研究讨论，要求学生对我国国民经济的运行过程和数量关系有比较准确的理解，让学生系统掌握统计分析方法，以及分析过程中指标的选择和资料加工、整理和估算等技术，增强对经济统计数据信息处理的综合能力，学会能够依据所学的知识运用实际统计资料对国民经济现实问题进行初步分析。

教学内容主要包括：社会总供求均衡分析、国民收入分配分析、消费需求分析、投资需求分析、产业结构变动分析、资金流量统计分析、通货膨胀分析、经济周期分析、国民经济景气分析、经济增长分析、宏观经济效益分析和宏观经济综合分析等。

Macroscopic Economic Statistics Analysis is one of specialized elective courses in statistics, which mainly applies macroeconomic theory and statistical thinking and statistical analysis logic to construct frame system of empirical statistical analysis of macroeconomic issues. This course closely connects our country's macroeconomic problems, according to related economic theory, determines the framework of the statistical analysis, and then collects statistical data and uses statistical methods to analyze in a penetrating way and demonstrate scientifically. Through this course of study and preliminary research and discussion, students are required to correctly understand the run course of our national economy and quantitative relation which enable students to master the methods of statistical analysis, and the selection of indicators for the analysis process and data processing, sorting and estimated other technologies. This will enhance the

719

中英文课程简介

comprehensive ability of processing economic statistical data. Students should learn to apply the learned knowledge based on actual statistical data to preliminarily analyze economic realities.

Teaching contents include the equilibrium analysis of total social supply and demand, national income distribution analysis, consumer demand analysis, investment demand analysis, industrial structure analysis, statistical analysis of capital flows, inflation analysis, economic cycle analysis, national economic boom analysis,

economic

growth

analysis

,

macro-economic

analysis

and

macroeconomic comprehensive analysis.

720

统计学院

《金融统计分析》课程中英文简介

Financial Statistics

课程代码：120562B Course Code：120562B

课程名称：金融统计分析 Course Name：Financial Statistics

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考查 Assessment：Inspection

先修课程：统计学原理 Preparatory Courses：Statistical Theory

宏观经济学、国际金融 Macroeconomics, International Finance

多元统计分析、计量经济学 Multi-Variate Statistical Analysis, Econometrics

货币银行学 Monetary Banking

《金融统计分析》是融实证金融理论、金融统计指标、数据、现实金融问题、统计方法运用为一体的知识体系，是统计学专业的专业选修课之一。其以金融现象的数量方面为研究对象，以分析研究金融运行的各种数量关系为主要内容，运用定性与定量分析相结合的多种方法来分析、判断、预测国民经济运行及金融发展变化的相互关系。

721

中英文课程简介

通过本课程的学习，旨在使学生掌握金融统计分析的基本原理、基本规则和基本方法，使学生了解金融活动不同层面的数量表现和数量关系，掌握金融统计分析的指标体系，并能够运用常用统计数据和基本统计方法分析主要金融问题或研究常见的金融活动中表现出的数量关系，为做好实际金融统计分析工作打下基础。

教学内容主要包括：货币与金融统计的基本规则、机构部门分类、金融工具分类与核算方法、货币与银行统计分析、信贷收支统计分析、金融稳健统计、国际收支统计分析、资金流量统计分析、金融市场统计指标体系及其分析方法等。

\"Financial statistical analysis\" is the integration of knowledge which combined financial empirical finance theory, financial statistical indicators, data, real financial problems and the application of statistical methods into a common, and is one of the specialized optional courses in major of statistics. It takes quantitative aspects of Financial Phenomenon as object of study, takes a variety of quantitative relations’ analysis and study in financial system movement as main contents, also applies many methods of combination of qualitative and quantitative to analyze, judge and predict the relationship between national economy operation and financial development changes.

The main idea of learning this course is enable students to master the basic principles , rules and method of financial statistical analysis, to make students aware of the quantity performance and quantity relationship financial activity at different levels, to master the index system of financial statistical analysis, and to apply common statistical data and basic statistical methods analyze the main financial problems or study the quantitative relationship shown in common

722

统计学院

financial activities for the good basis of actual financial statistical analysis.

Teaching contents include the basic rules of monetary and financial statistics, institutional sector classification, classification of financial instruments and accounting methods, analysis of monetary and banking statistics, credit balance of payments statistical analysis, financial stability of statistics, balance of payments statistical analysis, statistical analysis of capital flows, statistical indicators of financial market system and analysis methods and so on.

723

中英文课程简介

《金融统计计算》课程中英文简介

Finance Statistics and Calculate

课程代码：120573B Course Code：120573B

课程名称：金融统计计算 Course Name：Finance Statistics and Calculate

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：微积分、线性代数 Preparatory Courses：Calculus, Linear Algebra

概率论与数理统计 Probability and Mathematical Statistics

西方经济学、投资学、统计学 Economics, Investment, Statistics

本课程是金融数学专业本科生的专业选修课。主要内容为四个部分：第一部分为金融学基础指标计算；第二部分为股票定价；第三部分为风险度量； 第四部分为固定收益定价。每一部分的内容一般由三个模块组成： 金融理论与模型、算法实现及计算程序。其中，算法实现与计算程序全部以中国金融市场的实际问题为应用背景而设计。本课程使学生对相关的金融专题有一定的了解，以使学生的知识水平在金融理论、实务和统计模型的基础上，更深入到如何实现和应用。

724

统计学院

This course is a foundational course for undergraduate students majoring in finance mathematics. It could be divided into four parts. First, we will learn some basics calculate of finance. Second, we will introduce pricing of stocks. Third, we will learn measure of risk. Fourth, we will introduce return of free-risk asset. There are three sections in each part, which include financial theory, model and procedure. The purpose of this course is to make students know learn way to deal with reality events, and to get the ability to analyses and solve practical problems.

725

中英文课程简介

《近世代数》课程中英文简介

Modern Algebra

课程代码：120583B Course Code：120583B

课程名称：近世代数 Course Name：Modern Algebra

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：高等代数I，II Preparatory Courses：Higher Algebra I，II

《近世代数》课程是现代数学的基础,同拓扑学、实变函数与泛函分析构成现代数学的三大基石。近世代数主要研究各种抽象的公理化代数系统，通过保持运算的映射（称为态射）来研究和比较代数结构并进行分类。

本课程的教学目标是通过介绍近世代数的最基本的概念、理论和方法，使学生理解和掌握群、环、域三个代数系统的基础知识和基本理论，了解代数体系的构造和性质，使学生受到代数方法的初步训练。另外，培养学生的抽象思维、逻辑思维及运算能力，使学生对于抽象代数的思想和方法有初步认识，抽象思维能力和逻辑推理能力得到提高，满足学生对代数学进一步学习和研究的要求，满足其他数学领域及数学应用对代数的基本要求。

726

统计学院

本课程主要包括群、环、域等基本概念和基本理论，具体包括映射、等价类，群与子群的定义与性质、不变子群和商群、群的同态基本定理、群的同构基本定理，环与子环的定义与性质、环的理想、商环、环的同态基本定理、环的同构基本定理，域的扩张理论。

\"Modern Algebra\" is the foundation of modern mathematics, together with topology and functions of real variable and functional analysis, which constitute the three cornerstones of modern mathematics. Modern Algebra mainly studies various abstract axiomatic algebraic systems, by maintaining the operation of the map (called morphism) to study and compare the structure of algebraic and to classify.

The teaching objective is to introduce the basic concepts, theory and methods of Modern Algebra, so that students can understand and master the basic knowledge and theory of the three domains system of groups, rings and algebraic, can know the structure and nature of the algebraic system, also can get initial training of the algebraic method. In addition, students’ abstract thinking, logical thinking and computing power can be cultivated, which enable students to have preliminary understanding of ideas and methods of abstract algebra. Improving abstract thinking and logical reasoning ability can meet the students’ requirements for further study and research on mathematics and the basic requirements to algebra for mathematics and mathematical application in other areas.

The course includes the basic concepts and theories of group, ring and field. Specifically, it is including mapping, equivalence classes, the definition and nature

727

中英文课程简介

of groups and subgroups, the same sub-groups and business groups, groups and the fundamental theorem, group Isomorphism theorem, the definition and nature of ring and subring, the ideal ring, quotient ring, ring with the fundamental theorem, rings Isomorphism theorem and the expansion of field theory.

728

统计学院

《模糊数学》课程中英文简介

Fuzzy Mathematics

课程代码：120593B Course Code：120593B

课程名称：模糊数学 Course Name：Fuzzy Mathematics

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：数学分析 Preparatory Courses：Mathematical Analysis

高等代数 Advanced Algebra

概率论与数理统计 Probability and Mathematical Statistics

模糊性是一种现实中常见的不确定性，模糊数学是处理模糊性的科学。本课程的教学目标是让学生掌握模糊数学的基本理论和基本方法，为模糊性的研究与处理打下良好基础。教学内容主要包括模糊集的基本概念、模糊聚类分析、模糊模型识别、模糊决策、模糊线性规划、模糊控制等。

Ambiguity is a common uncertainty of reality. Fuzzy mathematics are science

729

中英文课程简介

deal with fuzzy. This course aims to equip students with the basic theory of fuzzy mathematics and the basic method, so lay a good foundation for ambiguity of research and treatment. Course content includes the basic concepts of fuzzy sets, fuzzy clustering, fuzzy pattern recognition, fuzzy decision, fuzzy linear programming and fuzzy control.

730

统计学院

《数学软件与应用》课程中英文简介

Mathematical Software and Applications

课程代码：120643B Course Code：120643B

课程名称：数学软件与应用 Applications

Course Name：Mathematical Software and

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：统计学 Preparatory Courses：Statistics

概率论与数理统计 Probability Theory and Mathematical Statistics

计算机基础 Basic Computer

数学软件与应用是统计学专业和数学专业（金融数学方向）学生的专业必修课之一。本课程的特点是不以数学理论和推导为主，而是在学生了解统计计算的基本概念和基本理论的基础上，介绍每种统计计算和统计分析方法的基本原理和思路，教会学生能够利用统计软件和数学软件处理和分析实际数据。本课程能够增强学生实际动手解决问题的能力，并掌握编程分析功能。

731

中英文课程简介

本课程的主要内容包括两大部分：一是统计计算理论与方法部分——有数据预处理、描述统计分析、多元统计分析等。授课的重点在于介绍每一种分析方法，包括：每种方法的基本原理、应用前提、统计软件的实现及输出结果的理解和解释；二是软件的应用——主要讲述编程功能及对应的菜单操作方式，与统计计算理论和方法相结合，对实际数据进行分析。

Mathematical software and applications is one of the required courses of the students who are major in Statistics and Mathematics Professional (Financial Mathematics direction). The feature of this course is that main content of it is not mathematical theory and the derivation. The course introduces the basic principles and ideas of statistical analysis based on the students’ understanding of the basic concepts and theories of statistics, and learns students how to deal with and analysis real data using statistical software and mathematical software. The course can enhance students’ ability of solving practical problems by themselves, and can help students master how to make a programming analysis.

The main content mainly includes two parts: the first part is theories and methods of statistical calculation—data preprocessing, descriptive statistics analysis, multivariate statistical analysis, etc. The focus of this part is introduction of calculation method including basic principles, applications premise, implementation of statistical software and understanding and interpretation of output. The second part is application of software. The focus of this part is that introduce the programming function and corresponding operation mode of menu, the combination of statistical theory and methods of calculating, and the analysis for real data.

732

统计学院

《数学史与数学文化》课程中英文简介

History of mathematics and mathematical culture

课程代码：120653B Course Code：120653B

课程名称： Course Name：

数学史与数学文化 History of mathematics and mathematical culture

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：数学分析 Preparatory Courses：Mathematical Analysis

高等代数 Advanced Algebra

解析几何 Analytic Geometry

概率论与数理统计 Probability Theory and Mathematical Statistics

数学史与数学文化是研究数学的发生、发展过程及其规律的一门学科。它主要讨论数学概念、数学方法和数学思想的起源与发展，及其与社会政治、经济和一般文化的联系。

733

中英文课程简介

本课程包括以下基本内容: 数学的起源与早期发展 、古代希腊数学 、中世纪的中国数学、印度与阿拉伯的数学、近代数学的兴起 、微积分的创立 、分析时代 、代数学的新生 、几何学的变革 、分析的严格化、20世纪数学概观。

通过本课程的学习，使学生理解数学概念、数学方法和数学思想的起源与发展历程，掌握数学的发展规律。在此基础上，了解数学的文化特征，以及数学在人类文明发展过程中的作用、数学与现实世界的联系、数学与人文科学及社会科学、艺术等领域的联系，从而帮助学生逐步形成正确的数学观。

History of mathematics and mathematical culture is a subject that studies the occurrence, the development and the law of Mathematics. The course mainly discusses the origin and development of mathematical concepts, mathematical methods and mathematical ideas, and its connection with Social, political, economic and general cultural. The basic elements of the course are as follows: The origin and early development of mathematics, mathematics of ancient Greece, medieval Chinese mathematics, Indian and Arab mathematics, the rise of modern mathematics, the creation of calculus, analysis of the time, the new algebra, geometry changes, rigorous analysis of, and overview of the 20th century mathematics.

This course can help students to understand the origin and Development of mathematical concepts, mathematical methods and mathematical ideas, and to master development law of mathematics. On this basis, students can understand the cultural features of mathematics and the role of mathematics in the process of development of human civilization, the connection between mathematics with real

734

统计学院

world, the connection between mathematics with the field concerning social science, art and so on, so as to help students to form the correct conception of mathematics.

735

中英文课程简介

《随机过程初步》课程中英文简介

Initial Stochastic Processes

课程代码：120662B Course Code：120662B

课程名称：随机过程初步 Course Name：Initial Stochastic Processes

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考查 Assessment：Inspection

先修课程：微积分 Preparatory Courses：Calculus

概率论 Probability Theory

线性代数 Linear Algebra

本课程介绍随机过程的基本理论和几类重要随机过程模型与应用背景，通过本课程的学习，使学生获得随机过程的基本知识和基本运算技能，同时培养和训练了学生运用数学方法分析和解决问题的能力，扩展了学生的数学知识，为进一步学习有关专业课程提供必要的数学基础.本课程主要包括随机过程的基本概念（随机过程的分布函数、数字特征，复值随机过程，特征函数，多维正态分布），几种重要随机过程（独立过程，独立增量过程，二项过程，正态过程，维纳过程），马尔科夫过程（离散时间的马尔科夫过程定义及转移概

736

统计学院

率，C-K方程，马氏链的分布，遍历性与平稳分布，状态分类与分解，马氏链的应用），泊松过程（定义（计数过程）与例子，泊松过程的叠加与分解，时间间隔与等待时间的分布，复合泊松过程，非齐次泊松过程。

This course introduces the basic theory of stochastic processes and some important class of stochastic process models and application background. Through this course, students will obtain basic knowledge of stochastic processes and basic computing skills. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to further learn relevant courses. The course will cover the basic concepts of stochastic processes (random process the distribution function, digital features, complex random process, characteristic function , multi-dimensional normal distribution), several important random process (independent process, independent increments process, two processes, normal processes, Wiener process), Markov process (discrete time Markov process definition and the transition probability , CK equation, Markov chain, distribution, ergodicity and stationary distribution, status, classification and decomposition, Markov chain applications), Poisson process (as defined in (counting process) and the example of the superposition and decomposition of Poisson process, the time interval and the waiting time distribution, compound Poisson process, nonhomogeneous Poisson process.

737

中英文课程简介

《统计分析技术与方法》课程中英文简介

Methods and Techniques of Economic Statistical Analysis

课程代码：120672B Course Code：120672B

课程名称： Course Name：

统计分析技术与方法 Methods and Techniques of Economic Statistical Analysis

学 时：32 Periods：32

学 分：2 Credits：2

考核方式：考查 Assessment：Inspection

先修课程：概率论与数理统计 Preparatory Courses：Probability and Statistics

统计分析技术与应用课程介绍了应用统计的基本原理，并同时借助统计软件（SPSS），使学生不仅能了解统计分析的基本理论，而且能通过统计软件的操作，实现统计分析。本课程只注重讲述每种统计分析方法的基本原理，而不讲述其推导过程，其目的是使非统计专业的学生，在学习本课程之后，能借助统计软件进行实际数据的分析，即使学生对统计分析的内容和方法有比较全面的掌握并能够应用于实际研究中。

本课程的主要内容包括统计基本概念与理论、参数估计与假设检验、方差分析、相关与回归分析、聚类分析、判别分析、主成分分析和因子分析、列联分析与对应分析。其理

738

统计学院

论部分只需要介绍，不作深入的讲授，而授课的重点在于每一种分析方法，包括：每种方法的基本原理、应用前提、统计软件的实现及输出结果的解释和结论。其中带*号的章节内容可视学生的情况作为选学的内容。

Methods and Techniques of Economic Statistical Analysis course introduces the basic principles of applied statistics, while using statistical software, not only help students understand the basic theory of statistical analysis, but also help them make statistical analysis through the operation of statistical software. The focus of this course is to introduce the basic principles of each statistical analysis method, and not to explain its derivation. The purpose is that non-statistical majors students, after their studying, can make analysis of actual data by using software, in other word, students can grasp the content and methods of statistical analysis more comprehensive, and can use them into actual research.

The main content of this course includes: basic concepts of statistics and theory, parameter estimation and hypothesis testing, analysis of variance, correlation and regression analysis, cluster analysis, discriminant analysis, principal component analysis and factor analysis, out joint analysis and correspondence analysis. The focus of theoretical part is introduction of calculation method including basic principles, applications premise, implementation of statistical software and understanding and interpretation of output.

739

中英文课程简介

《统计软件R语言》课程中英文简介

Statistical software and R language

课程代码：120693B Course Code：120693B

课程名称：统计软件R语言 Course Name：Statistical software and R language

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程： Preparatory Courses：

本课程是统计学专业学生的专业选修课，其教学目标是使统计学专业本科生熟练掌握使用R语言，并能够使用R语言进行包括统计描述、假设检验、回归分析和多元统计分析等多种统计分析工作。该课程的特点是统计理论与R语言实现方法并重。在对统计理论进行深入讲解的同时，结合实例详细讨论该方法在R语言环境中的实现方法。

本课程包括两部分，第一部分是R语言的基本环境介绍，详细讲解R语言的安装、基本概念、基本语法、基本函数等。第二部分是统计分析方法在R语言环境中的实现，主要包括描述分析、简单推断、回归分析、方差分析、判别分析、聚类分析、主成分分析、因子分析和典型相关分析。在教学过程中，以软件实现方法为主，辅以统计理论的讲解。

740

统计学院

采用的教学方法为：以多媒体的课件讲授为主，同时配合一定的上机练习，和作业。

This course is a professional elective for students of statistics. Course objective is to help students master the use of R language, and analysis data using the method of descriptive statistics, hypothesis testing, regression analysis and multivariate statistical analysis by R language. The course is characterized by both teaching methods to teach theory.

This course consists of two parts: the first part introduces the basic environment for R language, explains the installation of R language, basic concepts, basic grammar, and basic functions and so on. The second part is the statistical analysis in the R language environment to achieve, including descriptive analysis, simple inference, regression analysis, variance analysis, discriminant analysis, cluster analysis, principal component analysis, factor analysis and canonical correlation analysis. Implementation of software is the most important in the teaching process, while add to some explaining of statistical theory.

Teaching methods adopted is based on the multimedia courseware, while add to some corresponding exercises and operations.

741

中英文课程简介

《统计软件与应用R》课程中英文简介

Statistical software and R language

课程代码：120703B Course Code：120703B

课程名称：统计软件设计R语言 Course Name：Statistical software and R language

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：统计学，多元统计 Preparatory Courses：Statistics, Multivariate Statistics

本课程是统计学专业学生的专业选修课，其教学目标是使统计学专业本科生熟练掌握使用R语言，并能够使用R语言进行包括统计描述、假设检验、回归分析和多元统计分析等多种统计分析工作。该课程的特点是统计理论与R语言实现方法并重。在对统计理论进行深入讲解的同时，结合实例详细讨论该方法在R语言环境中的实现方法。

本课程包括两部分，第一部分是R语言的基本环境介绍，详细讲解R语言的安装、基本概念、基本语法、基本函数等。第二部分是统计分析方法在R语言环境中的实现，主要包括描述分析、简单推断、回归分析、方差分析、判别分析、聚类分析、主成分分析、因

742

统计学院

子分析和典型相关分析。在教学过程中，以软件实现方法为主，辅以统计理论的讲解。

采用的教学方法为：以多媒体的课件讲授为主，同时配合一定的上机练习，和作业。

This course is a professional elective for students of statistics. Course objective is to help students master the use of R language, and analysis data using the method of descriptive statistics, hypothesis testing, regression analysis and multivariate statistical analysis by R language. The course is characterized by both teaching methods to teach theory.

This course consists of two parts: the first part introduces the basic environment R language, explains the installation of R language, basic concepts, basic grammar, and basic functions and so on. The second part is the statistical analysis in the R language environment to achieve, including descriptive analysis, simple inference, regression analysis, variance analysis, discriminant analysis, cluster analysis, principal component analysis, factor analysis and canonical correlation analysis. Implementation of software is the most important in the teaching process, while add to some explaining of statistical theory.

Teaching methods adopted is based on the multimedia courseware, while add to some corresponding exercises and operations.

743

中英文课程简介

《统计软件与应用SAS》课程中英文简介

SAS statistical software and applications

课程代码：120713B Course Code：120713B

课程名称：统计软件与应用SAS Course Name：SAS statistical software and applications

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：统计学 Preparatory Courses：Statistics

概率论与数理统计 Probability Theory and Mathematical Statistics

计算机基础 Basic Computer

统计软件与应用SAS是统计学专业和数学专业（金融数学方向）学生的专业必修课之一。本课程的特点是不以数学理论和推导为主，而是在学生了解统计计算的基本概念和基本理论的基础上，介绍每种统计计算和统计分析方法的基本原理和思路，教会学生能够利用统计软件SAS处理和分析实际数据。本课程能够增强学生实际动手解决问题的能力，并掌握SAS系统的析功能。

744

统计学院

本课程的主要内容包括两大部分：一是统计计算理论与方法部分——有数据预处理、描述统计分析、多元统计分析等。授课的重点在于介绍每一种分析方法，包括：每种方法的基本原理、应用前提、统计软件的实现及输出结果的理解和解释；二是SAS软件的应用——主要讲述SAS编程功能及对应的菜单操作方式，与统计计算理论和方法相结合，对实际数据进行分析。

SAS statistical software and applications is one of the required courses of the students who are major in Statistics and Mathematics Professional (Financial Mathematics direction). The feature of this course is that main content of it is not mathematical theory and the derivation. The course introduces the basic principles and ideas of statistical analysis based on the students’ understanding of the basic concepts and theories of statistics, and learns students how to deal with and analysis real data using statistical software SAS software. The course can enhance students’ ability of solving practical problems by themselves, and can help students master how to make a programming analysis.

The content of the course mainly includes two parts: the first part is theories and methods of statistical calculation—data preprocessing, descriptive statistics analysis, multivariate statistical analysis, etc. The focus of this part is introduction of calculation method including basic principles, applications premise, implementation of statistical software and understanding and interpretation of output. The second part is application of SAS software. The focus of this part is that introduce the programming function of SAS and corresponding operation mode of menu, the combination of statistical theory and methods of calculating, and the analysis for real data.

745

中英文课程简介

《统计预测与决策》课程中英文简介

Statistical Forecasting and Decision

课程代码：120753B Course Code：120753B

课程名称：统计预测与决策 Course Name：Statistical Forecasting and Decision

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：微积分 Preparatory Courses：Calculus

线性代数 Linear Algebra

概率论与数理统计 Probability and Mathematical Statistics

本课程是为统计学院的统计学和经济分析专业开设的一门选修课。本课程的作用是将学生所学知识应用于预测与决策的实践，使学生树立“管理的关键在于决策，而决策的前提是预测”的意识，引导学生学以致用并科学地进行预测和决策研究，培养其为社会经济与管理的预测和决策工作服务的能力。

通过系统学习预测与决策的专门知识和相关案例，使学生熟悉和理解预测与决策的基

746

统计学院

本概念，掌握预测与决策的一般规律、基本原理和相关技术，初步具备解决实际预测与决策问题的能力。

内容包括：定性预测的德菲尔法、主观概率法，时间序列的平滑预测法、趋势预测法、季节变动预测法，一元和多元线性回归预测法，非线性回归预测法，分类回归预测法，马尔科夫预测法，确定型决策法，非确定型决策法，风险型决策法，贝叶斯决策法以及决策的效用理论，多目标决策法。

This course is elective course for statistics professional and professional economic analysis in school of statistics. The role of the course is that help students apply their knowledge learned into prediction and decision-making practice, and direct students to form an awareness that the key to management is decision-making, and the premise of decision-making is forecast. The course will guide students to apply their statistical knowledge into prediction in order to make prediction and decision scientifically, and culture their ability concerning service for forecasting and decision-making of Socio-economic and management

Though systematically study the expertise and relevant case concerning forecasting and decision, make students understand and familiar with the basic concept, master general law, basic principles and related technologies about forecasting and decision, so as to possess the ability to solve practical problems about forecasting and decision.

The content of this course include: Delphi Technique concerning qualitative prediction, subjective probability, time series smoothing forecasting, trend

747

中英文课程简介

prediction, seasonal forecasting method, univariate and multivariate linear regression, nonlinear regression, classification and regression method, Malta Cove prediction, deterministic decision making, non-deterministic decision making, risk-based decision making, Bayesian decision making and decision-making utility theory, multi-objective decision making method.

748

统计学院

《统计实务与案例分析》课程中英文简介

Statistical Practices and Case Studies

课程代码：120723B Course Code：120723B

课程名称：统计实务与案例分析 Course Name：Statistical Practices and Case Studies

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：统计学 Preparatory Courses：Statistics

本课程教学内容主要包括：（1）从实际应用（不单是统计工作）出发，以不同的角度介绍相关内容;（2）从应用的对象出发，包括专门的统计工作(政府统计、企业统计、市场统计）、相关部门的统计应用 、课题研究中的统计工作与研究; （3）从应用目的出发，包括描述性内容、分析性内容;（4）从内容的类型出发，包括统计实物、统计案例分析等。

本课程教学的基本要求与目的，是在前期课程学习的基础上、在掌握了一定的统计学理论、统计方法、计算方法的基础上，熟练的、正确地应用统计专业知识达到发现问题、分析问题、正确认识客观事物规律的目的。

749

中英文课程简介

The main content of the course include: （1）Starting with the practical application (not only statistical work), introducing relevant content from a different perspective.;（2）Starting with the application objects, including specialized statistical work(government statistics, business statistics, market statistics) , statistical application in relevant departments, statistics work and research in research project; （3）Starting with the application purpose, including contents concerning descriptive and analysis. （4）Starting with the type of content, including statistics objects and statistical case study, etc.

The basic requirements and objectives of this course are to achieve their goals that recognizing and analyzing problems, as well as understanding the law of object, which is based on the early curriculum and statistical theory, statistical methods, the basis of calculation method.

750

统计学院

《统计陷阱》课程中英文简介

Statistical Pitfalls

课程代码：120731B Course Code：120731B

课程名称：统计陷阱 Course Name：Statistical Pitfalls

学时：16 Periods：16

学分：1 Credits：1

考核方式：考查 Assessment：Inspection

先修课程：统计学 Preparatory Courses：Statistics

统计学是一门关于收集数据、分析数据和由数据得出结论的方法论的学科，统计方法是认识社会的一种基本工具，统计分析技术则是现代人必须具备的能力。然而，在实际应用中由于对方法的误用、对数据的误读、对分析结果的误解等问题经常使人们掉入统计陷阱，导致认识上的错误和决策的失败。

本课程教学目标是通过案例分析，使学生了解统计思维方式，认识统计陷阱的基本问题，减少实际中对统计方法的误用。

本课程注重于通过实例来剖析统计基本方法使用中的错误，常见的统计陷阱，提高学生学习兴趣，掌握正确的使用方法。

751

中英文课程简介

Statistics is a methodology subject about collecting data, analyzing data and drawing conclusions from the data. Statistical method is a kind of instrument by which people can understand the community. In modern time, everyone must have the ability that using statistical analysis technology. However, In practice, people usually fall into the trap of statistics because the problems about the misuse of method, misreading of data and misunderstanding for the analysis result, which result to the mistake of Knowledge and the failure of decision-making.

The purpose of the course is, through studying the cases, to help students to understand statistical thinking and recognize the basic issues concerning statistics trap, thereby to reduce the misuse of statistical methods in practice.

The focus of this course is that to analyze the mistakes in the process of using basic statistical methods, and to distinguish common statistical traps, as well as to increase students’ interest in learning, and to master the correct method.

752

统计学院

《统计与市场调查》课程中英文简介

Statistics and Marketing Survey

课程代码：120743B Course Code：120743B

课程名称：统计与市场调查 Course Name：Statistics and Marketing Survey

学时：48 Periods：48

学分：3 Credits：3

考核方式：考查 Assessment：Inspection

先修课程：概率论与数理统计 Preparatory Mathematical Statistics

Courses：Probability and

本课程介绍了应用统计的基本原理和市场调查的理论与技术，统计与市场调查是准确及时地捕捉有用信息的基本工具，是针对搜集到的数据资料做出正确分析的重要手段。本课程介绍了统计的基本原理和方法、市场调查的基本理论、基本方法和技术。

主要内容包括：统计中的基本概念、统计软件SPSS的应用；有关调查的基本概念和原理；调查方案设计的方法和技术；抽样设计的基本理论与方法；问卷设计理论、方法与技巧；数据整理与加工；数据的描述统计分析；数据的推断统计分析；调查报告的撰写。

本课程的主要目标是使学生能够理论联系实际，熟悉科学的市场调查技术和数据统计

753

中英文课程简介

分析技术，掌握一定的操作技能。

The course introduces the basic principles of applied statistics and theory and technology about market research. Statistics and market research is a basic tool for capturing useful information accurately and timely, and is an important mean to correctly analyze the data collected. The course introduces basic principles and methods of statistics, and basic theory, basic methods and techniques concerning market research.

The main content of this course includes: The basic concepts of statistics, SPSS statistical software applications; the investigation of the basic concepts and principles; survey design methods and techniques; sampling design of the basic theories and methods; questionnaire design theory, methods and techniques; data management and processing; description statistical analysis of data; inference statistical analysis of data; investigation report writing.

The main objective of this course is that make students associate theory with practice, and familiar with Market research techniques and statistical analysis techniques, as well as maser a certain degree of operating skills.

《点集拓扑学》课程中英文简介

Point Set Topology

课程代码：120763B Course Code：120763B

754

统计学院

课程名称：点集拓扑学 Course Name：Point Set Topology

学 时：48 Periods：48

学 分：3 Credits：3

考核方式：考查 Assessment：inspection

先修课程：数学分析 Preparatory Courses：Mathematical Analysis

线性代数 Linear Algebra

解析几何 Analytic Geometry

复变函数 Complex Function

点集拓扑学（Point Set Topology），有时也被称为一般拓扑学（General Topology），是数学的拓扑学的一个分支。

它研究拓扑空间以及定义在其上的数学构造的基本性质。

点集拓扑学起源于以下几个领域：对实数轴上点集的细致研究，流形的概念，度量空间的概念，以及早期的泛函分析。它的表述形式大概在1940年左右就已经成文化了。通过这种可以为所有数学分支适用的表述形式，点集拓扑学基本上抓住了所有的对连续性的直观认识。

755

中英文课程简介

Topology (Point Set Topology), sometimes referred to as the general topology (General Topology), is a branch of mathematical topology.

The course is to study the topological space and basic properties of mathematical structure Delimited on the topological space.

Point Set Topology is derived from the following areas: Detailed study concerning point set in real axis, the concept of manifold, the concept of metric space, and early Functional analysis. The presentation of it had become the culture in around 1940. Though the presentation that can be applied to all the branches of mathematics, Point Set Topology basically captures all the intuitive understanding of the continuity.

756