1、統計學院625微積分積分I II課程中英文簡介Calculus課程代碼： 120014A/120024ACourse Code： 120014A/120024A課程名稱： 微積分1 IICourse Name： Calculus I II學時:64Periods： 64學分:4Credits： 4考核方式： 考試Assessment Exam ination先修課程： 無Preparatory Courses : None微積分是我校經濟、管理類專業的一門必修課，為二學期課程。通過本課程的學習，使學生掌握微積分學的基本概念、基本理論及基本運算技能，逐步培養學生抽象概括問題的能力、邏輯推理能力、

2、空間想象能力和比較熟練的運算能力，培養學生綜合運用所學知識去分析和解決有關實際問題的能力，為學生學習后續課程和進一步獲得數學知識奠定必要的數 學基礎。本課程的主要內容包括：函數、極限與連續、導數與微分、中值定理與導數的應用、不定積分、定積分、無窮級數、多元函數微積分學、微分方程、差分方程。Calculus is an important two-semester basic compulsory for economics and management professional in our university. Though the studying of this course, stu

3、dents should maser basic con cepts, basic theory and basic computi ng skills of calculus. The course can cultivate stude nts ability of abstracting general problems, logical reasoning, spatial imagination and skilled computi ng. In additi on, the course can cultivate stude nts the ability to an alyz

4、e and solve practical problems though using their kno wledge lear nt, and lay a basic for stude nts to study releva nt courses and further to acquire mathematical kno wledge.The content of the course includes: functions, limits and continuity, derivative and differential mean value theorem and the a

5、pplication of derivatives, indefinite integral, definite integral, infinite series, multi-function calculus, differential equations, difference equations.中英文課程簡介626微積分課程中英文簡介Calculus課程代碼： 120033ACourse Code： 120033A課程名稱： 微積分Course Name： Calculus學時：48Periods： 48學分:3Credits： 3考核方式： 考試Assessment Exam i

6、nation先修課程： 無Preparatory Courses : None微積分是我校經濟、管理類專業的一門重要基礎必修課。通過本課程的學習，使學生掌握微積分學的基本概念、基本理論及基本運算技能。培養學生綜合運用所學知識去分析 和解決有關實際問題的能力，為學生學習有關專業課程和進一步獲得數學知識奠定必要的數 學基礎。本課程的內容包括：函數、極限與連續、導數與微分、中值定理與導數的應用、不定積 分。Calculus is an important basic compulsory for economics and management professional in our univers

7、ity. Though the studying of this course, students should 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 stude nts to study releva

8、 nt courses and further to acquire mathematical kno wledge.The content of the course includes: functions, limits and continuity, derivative and differential mean value theorem and the application of derivatives, indefinite integral.統計學院627線性代數課程中英文簡介Lin ear AlgebraCourse Code： 120043ACourse Name： Li

9、n ear AlgebraPeriods： 48Credits： 3Assessment Exam inationPreparatory Courses : Calculus本課程是我校本科經濟、 管理類專業數學課中三門最重要的基礎課之一，為一學期課程。通過本課程的學習，學生不僅能夠獲得線性代數的基本知識，而且能夠得到兩個基本訓練”即：代數學基本方法的訓練、線性代數基本計算的訓練；同時培養和訓練了學生運用數學方法分析和解決問題的能力，擴展了學生的數學知識，為進一步學習有關專業課程提供必要的數學基礎。本課程的內容包括：行列式(行列式的定義、性質和按行(列)展開、克萊姆法則)， 矩陣(矩陣運算、逆

10、矩陣、分塊矩陣、初等矩陣與初等變換、矩陣的秩)，線性方程組與向量空間(歐氏空間)，矩陣的特征值與特征向量，二次型(用配方法和正交變換法化二次型 為標準形、正定二次型)。This course is one of the most important undergraduate basic courses of economics and man ageme nt professi onal math in our uni versity. Stude nts can not only get a basic kno wledge of linear algebra, and can obtai

11、n“ two basic training ” ： the trairbagieboeithaldelaadthe 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 mathem

12、atical foundation to further learn releva nt courses. The content of this course in clude: determ inan t (the defi niti on, n ature and by row (colu mn) Expa nd, Cramers rule), matrix (matrix operati ons, in verse matrix, block matrix, elementary matrix with elementary transformation, rank of matrix

13、), linear equations and vector space (Euclidean space), matrix eigenvalue and vector, the second type (with the Method and orthogo nal tran sformatio n of the sta ndard quadratic form, positive defi nite quadratic form).課程代碼： 120043A課程名稱： 線性代數學時：48學分：3考核方式： 考試先修課程： 微積分中英文課程簡介628線性代數I課程中英文簡介Lin ear A

14、lgebra ICourse Code： 120053ACourse Name： Lin ear AlgebraPeriods： 48Credits： 3Assessment Exam inationPreparatory Courses : Calculus本課程是我校本科經濟、 管理類專業數學課中三門最重要的基礎課之一，為一學期課程。通過本課程的學習，學生不僅能夠獲得線性代數的基本知識，而且能夠得到兩個基本訓練”即：代數學基本方法的訓練、線性代數基本計算的訓練；同時培養和訓練了學生運用數學方法分析和解決問題的能力，擴展了學生的數學知識，為進一步學習有關專業課程提供必要的數學基礎。本課程的內

15、容包括：行列式(行列式的定義、性質和按行(列)展開、克萊姆法則)， 矩陣(矩陣運算、逆矩陣、分塊矩陣、初等矩陣與初等變換、矩陣的秩)，線性方程組與向量空間(歐氏空間)，矩陣的特征值與特征向量，二次型(用配方法和正交變換法化二次型 為標準形、正定二次型)。This course is one of the most important undergraduate basic courses of economics and man ageme nt professi onal math in our uni versity. Stude nts can not only get a basic

16、kno wledge of linear algebra, and can obtain“ two basic training ” ： thltirainiagicibKieihsds andthe 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 knowled

17、ge, as well as provide the necessary mathematical foundation to further learn releva nt courses. The content of this course in clude: determ inan t (the defi niti on, n ature and by row (colu mn) Expa nd, Cramers rule), matrix (matrix operati ons, in verse matrix, block matrix, elementary matrix wit

18、h elementary transformation, rank of matrix), linear equations and vector space (Euclidean space), matrix eigenvalue and vector, the second type (with the Method and orthogo nal tran sformatio n of the sta ndard quadratic form, positive defi nite quadratic form).課程代碼： 120053A課程名稱： 線性代數學時：48學分：3考核方式：

19、 考試先修課程： 微積分統計學院629線性代數II課程中英文簡介Lin ear Algebra IICourse Code： 120063ACourse Name： Lin ear AlgebraPeriods： 48Credits： 3Assessment Exam inationPreparatory Courses : Calculus本課程是我校本科經濟、 管理類專業數學課中三門最重要的基礎課之一，為一學期課程。通過本課程的學習，學生不僅能夠獲得線性代數的基本知識，而且能夠得到兩個基本訓練”即：代數學基本方法的訓練、線性代數基本計算的訓練；同時培養和訓練了學生運用數學方法分析和解決問題

20、的能力，擴展了學生的數學知識，為進一步學習有關專業課程提供必要的數學基礎。本課程的內容包括：行列式(行列式的定義、性質和按行(列)展開、克萊姆法則)， 矩陣(矩陣運算、逆矩陣、分塊矩陣、初等矩陣與初等變換、矩陣的秩)，線性方程組與向量空間(歐氏空間)，矩陣的特征值與特征向量，二次型(用配方法和正交變換法化二次型 為標準形、正定二次型)。This course is one of the most important undergraduate basic courses of economics and man ageme nt professi onal math in our uni ve

21、rsity. Stude nts can not only get a basic kno wledge of linear algebra, and can obtain“ two basic training ng about atgebraibiasic methods andthe training about basic knowledge of linear algebra. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve

22、 problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to further learn releva nt courses. The content of this course in clude: determ inan t (the defi niti on, n ature and by row (colu mn) Expa nd, Cramers rule), matrix (matrix operati ons, in vers

23、e 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 orthogo nal tran sformatio n of the sta ndard quadratic form, positive defi nite quadrati

24、c form).課程代碼： 120063A課程名稱： 線性代數學時：48學分：3考核方式： 考試先修課程： 微積分中英文課程簡介630課程代碼：120074A/120073A課程名稱：概率論與數理統計學時：64/48學分：4/3考核方式：考試先修課程：微積分概率論與數理統計課程中英文簡介Probability and Mathematics StatisticsCourse Code: 120074A/120073ACourse Name: Probability and Mathematics StatisticsPeriods： 64/48Credits: 4/3Assessment Ex

25、am in ati onPreparatory Courses : Calculus概率論與數理統計課程是各專業本科生的一門重要的公共基礎課程，是碩士研究生入學全國統一考試中必考的數學課程之一。概率論是一門研究隨機現象統計規律性數量關系的數學學科，而數理統計是研究如何有效地收集整理和分析隨機影響的數據，并做出統計推斷、 預測或者決策的一門學科，它是以概率論為基礎的。概率論與數理統計課程是學生由確定性 思維進入隨機性思維的入門課程、也是大學唯一的一門進行隨機思維培養和訓練的課程，是整個隨機數學這個龐大體系的基石。通過對本門課程的學習，不僅為其他專業課的學習提供有力工具(如西方經濟學)，而且可以掌

26、握一定的隨機思維，拓寬學生的視野，從根本上改 變和完善學生的思維方式使學生對定性與定量方法的理解上一個更高的層次，啟發學生的想象力及創造力，培養學生觀察、分析、解決問題的能力。本課程涉及的知識面廣泛，與實踐 聯系緊密，是應用性較強的一門課程。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 Na

27、ti onal Graduate Entrance Exam in ati on. Probability theory is a mathematics discipli ne 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 an alyze data o

28、f ran dom in flue nee effectively and makes statistical inference, forecast ing, or decision-making. Probability and mathematical statistics is an introductory course for students from determ ini stic thought to ran dom thought, also is the only course that teach and practice random thought in Unive

29、rsity, 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 in sta nee econom ics), but also master ran dom thought i n some degrees and broade n their horiz on s. It fun dame ntally cha ng

30、es and improves the thinking way for stude nts so that they can un dersta nd the qualitative and qua ntitative methods to a higher level, in spires stude nts imagination and creativity, and cultivates students bilitiesto observe, analyze andproblem-solv ing. This course covers a broad range of kno w

31、ledge, closely links with the practice, and has a wide applicati on.統計學院631概率論課程中英文簡介Probability Theory課程代碼：120084A/120083ACourse Code: 120084A/120083A課程名稱：概率論Course Name: Probability Theory學時:64/48Periods： 64/48學分:4/3Credits： 4/3考核方式：考試Assessment Exam ination先修課程：高等數學Preparatory Courses : Advaneed

32、Mathematics高等代數Adva need Algebra概率論是以具有不確定性的隨機現象為研究對象，以探討和研究隨機現象的統計規律性為任務的一個數學分支，是繼續學習數理統計、隨機過程，以及與概率理論相關的課程的基 礎。概率論是一門應用性很強的數學學科，廣泛地應用于金融、保險，證券，工程技術和自 然學科中，是各學科中分析與解決問題的基本工具，概率論與不同的問題結合形成許多分支。通過本課程的教學實踐，一方面要求學生理解概率論的基本理論和基本計算方法，為后續課程的學習打下必要的基礎；另一方面要求學生能夠運用基本的概率模型、理論和方法解決實際應用中的簡單概率問題。在本課程的執行過程中，內容的選

33、取和講解都考慮到了學生以后的發展，使學生主要掌握隨機事件、隨機變量的概念；掌握隨機變量的分布及數字特征的計算，掌握大數定律及中心極限定理的實際應用等內容。Probability theory is a branch of mathematics which takes non determ ini stic ran dom phe nomenon as study object and takes the statistics rule of ran dom phe nomena of explori ng and study ing as tasks. Also if you are goi

34、ng to con ti nue lear ning statistics, stochastic processes and courses related to the probability theory. Probability theory is a mathematical discipli ne of strong applicati on .It is widely used in finan ce, in sura nee, securities, engin eeri ng tech no logy and scie nee. Probability theory is a

35、 basic tool to analyze and solve problem in several disciplines, which comb ines with differe nt problems to form many bran ch.Through the course of teach ing practice, on the one hand, requiri ng stude nts to un dersta nd the basic theory of probability theory and basic calculation method, so as to

36、 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 applicati on.In the course of the execution process, the selection and interpretation of content

37、take the students future development into account. Making the students largely master the concept of ran dom eve nt and ran dom variables, distributes and calculati on, the practical applicati on of the law of large nu mbers and the Cen tral limit theorem and so on.中英文課程簡介632Course Code: 120096A/120

38、095ACourse Name： Calculus IPeriods： 96/80Credits： 6/5Assessment Exam inationPreparatory Courses : School Mathematics高等數學I課程中英文簡介Calculus I課程代碼：120096A/120095A課程名稱：高等數學I學時：96/80學分：6/5考核方式：考試先修課程：中學數學高等數學I是大學一年級的重要基礎理論課。內容包括一元函數與極限、 導數與微分、微分中值定理與導數的應用、不定積分、定積分、定積分的應用、微分方程等方面的基 本概念、基本理論和基本運算技能，為學習后繼課程和

39、進一步獲得數學知識奠定必要的數學 基礎。在傳授知識的同時， 通過各個教學環節逐步培養學生的抽象能力、邏輯推理能力、空間想象能力、運算能力和自學能力， 還有特別注意培養學生具有綜合運用所學知識去分析問題 和解決問題的能力。本課程的特點是尊重數學的系統性，注重直觀描述與實際背景， 注重增強學生用數學的意識，培養學生使用數學的能力，讓學生初步涉及數學建模。Higher Mathematics I is an important basis theory course for the first year at college. ItsContents include function of one

40、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 equati ons and other aspects.While

41、impart ing kno wledge to stude nts, this course can train the stude nts ability of abstract,logical reasoning, spatial imagination, computing power and self-learning in each teaching link,especially pay atte nti on to cultivate stude nts ability of tak ing a global view of an alyz ing issuesand solv

42、 ing problems with lear ned kno wledge.This course is characterized by respect for systematic ness of mathematics, which is focus ingon visual descriptio n and practical backgro und, also on enhancing stude nts aware ness of usirmathematics and cultivating students ability of using mathematics so as

43、 to enable students in itially in volved in mathematical modeli ng.統計學院633Course Code： 120106A/120105ACourse Name： Calculus IIPeriods： 96/80Credits： 6/5Assessment Exam inationPreparatory Courses : School Mathematics高等數學n課程中英文簡介Calculus II課程代碼：120106A/120105A課程名稱：高等數學II學時：96/80學分：6/5考核方式：考試先修課程：中學數學高

44、等數學n是大學一年級的重要基礎理論課。內容包括空間解析幾何與向量代數、 多元函數微分法及其應用、重積分、曲線積分與曲面積分、無窮級數等方面的基本概念、基本理論和基本運算技能，為學習后繼課程和進一步獲得數學知識奠定必要的數學基礎。在傳授知識的同時， 通過各個教學環節逐步培養學生的抽象能力、邏輯推理能力、空間想象能力、運算能力和自學能力， 還有特別注意培養學生具有綜合運用所學知識去分析問題 和解決問題的能力。本課程的特點是尊重數學的系統性，注重直觀描述與實際背景， 注重增強學生用數學的意識，培養學生使用數學的能力，讓學生初步涉及數學建模。Higher Mathematics II is an im

45、porta nt basis theory course for the first year at college. ItsContents in clude the basic con cept, theory and comput ing skills of an alytic geometry and vector algebra, multi-function differential method and its application, re-integration, the curve integral and surface integral, infinite series

46、 and so on. It will lay the foundations of mathematics for stude nts fol-op courses so as to further access to the n ecessary mathematical kno wledge.While impart ing kno wledge to stude nts, this course can train the stude nts ability of abstract, logical reasoning, spatial imagination, computing p

47、ower and self-learning in each teaching link, especially pay atte nti on to cultivate stude nts ability of tak ing a global vieWsstianalyziand solv ing problems with lear ned kno wledge.This course is characterized by respect for systematic ness of mathematics, which is focus ingon visual descriptio

48、 n and practical backgro und, also on enhancing stude nts aware ness of usirmathematics and cultivating students ability of using mathematics so as to enable students in itially in volved in mathematical modeli ng.中英文課程簡介634高等代數課程中英文簡介Higher Algebra課程代碼：120114ACourse Code： 120114A課程名稱： 高等代數Course Na

49、me： Higher Algebra學時：64Periods： 64學分:4Credits： 4考核方式： 考試Assessment Exam ination先修課程： 無Preparatory Courses : None本課程是統計學專業的一門專業基礎課程，是學習離散數學、微分方程、泛函分析等課程的基礎。本課程的教學目標是，使學生獲得數學基本思想方法和行列式、線性方程組、矩陣、二 次型、線性空間、線性變換、歐氏空間等方面的系統知識。它一方面使學生熟悉和掌握本課 程所涉及的現代數學中的重要思想方法，為后繼課程提供所需的基礎理論知識；另一方面還能提高學生抽象思維、邏輯推理和代數運算能力，對提高

50、學生的思維能力，開發學生智能、 加強 三基”(基礎知識、基本理論、基本方法)及培養學生創造型能力等起到重要作用。本課程的主要內容為多項式理論和線性代數理論，即因式分解和代數基本定理，行列式、線性方程組、矩陣、二次型，線性空間、歐幾里得空間的相關理論。具體包括以下內容：行列式的定義和性質、行列式的計算方法、Cramer法則；向量空間、向量的線性相關性、線性方程組有解的判別定理、線性方程組解的結構等；矩陣的運算、逆矩陣和矩陣方程；二次型的標準形、唯一性、正定二次型；線性變換的矩陣、基變換和坐標變換公式、線性變換的 特征值及特征向量、矩陣的對角化；歐幾里得空間、標準正交基、正交變換、實對稱矩陣的 標

51、準形。The course is an importa nt professi onal basic course of the Finan cial Mathematics. It is the basic to study the course of Discrete Mathematics, differe ntial equati ons, functional an alysis and so on.The teachi ng objective of course is to provide stude nts with the basic way of thi nki ng an

52、d the system of kno wledge of determ inant, lin ear equati ons, matrix, quadratic, lin ear space, li near tran sformati ons and Euclidea n space and so on. On the one han d, it en ables stude nts to know and master an important way of thinking about the modern mathematics in this course. And then pr

53、ovide some follow-up course for the basic theories and kno wledge. On the other han d, it can improve the stude nts ability of abstract thi nkin g, logical reasoning and algebra capacity. It plays an important role in improving students thinking ability and developing intelligent students, strengthe

54、ning the Three Basics (basic knowledge, basic theory and method) and cultivating stude nts creative ability.The main contents of this course are polyno mial theory and lin ear algebra theory which is factorizati on and the fun dame ntal theorem of determ inant, lin ear equati ons, matrix, quadratic,

55、 linear space, linear transformations and Euclidean space. Specifically, this course includes the followi ng conten ts: factorizati on and the fun dame ntal theorem of algebra, the determ inant of the defi niti on and n ature of the method of calculat ing the determ inant, Cramer rule; vector space,

56、 vector of the lin ear correlati on, li near equati ons solvable discrim inant theorem, li near equati ons structure; matrix operati ons, in verse matrix and the matrix equati on; the Stan dard Form of Quadratic, Uniq ue, positive defi nite quadratic; Lin ear tran sformati on matrix, Based tran sfor

57、matio n and coord in ate tran sformatio n formula, Lin ear tran sformatio n of values and Eige n vectors, Diag on alizatio n of Matrices, Euclidea n space, orth ono rmal basis, orthogo nal tran sformatio n, the sta ndard form of real symmetric matrices統計學院635數學分析I課程中英文簡介Mathematical Analysis I課程代碼：

58、120127ACourse Code： 120127A課程名稱：數學分析ICourse Name： Mathematical Analysis I學時：112Periods： 112學分:7Credits： 7考核方式： 考試Assessment Exam ination先修課程： 空間解析幾何Preparatory Courses : Space Analytic Geometry數學分析課程是金融數學專業與統計學專業的一門重要基礎課。數學分析的基本思想是極限論，主要是通過微分和積分兩種特殊的極限運算從微觀和宏觀兩個方面來研究 函數。通過本課程的學習，使學生能夠正確理解數學分析的基本概念、基

59、本理論，掌握數學分析的基本方法，并具備較熟練的演算技能和初步的應用能力。數學分析一方面為后繼課程(概率論、復變函數、實變函數、微分方程等)提供必要的基礎知識，另一方面，數學分析所體現的分析數學思想、邏輯推理方法、處理問題的技巧，對培養學生分析問題， 解決問題的能力有著重要作用。數學分析I是其中的第一部分。數學分析I的基本內容如下：實數集與函數、數列極限、函數極限、連續函數、導 數與微分、不定積分、定積分及其應用、反常積分。Mathematical An alysis course is an importa nt basic course of Finan cial Mathematics a

60、nd Statistics professi on als. 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 con