Course

Last Update:2019.3.21

 

 

THE GRADUATE COURSES

     The Department includes three graduate institutes, among which Institute of Mathematics and Institute of Applied Mathematics have both doctorate degree and master degree programs.   The courses provided serve to satisfy the teaching of special knowledge belonging to the specific area in which each institute is specialized.   Although Institute of Statistical Science does not have doctorate degree program, in-depth courses covering statistics and probability theory at the level for doctorate degree candidates are available.  Students who are interested in pursuing a doctorate degree in statistics and/or probability may be enrolled in Institute of Applied Mathematics and go through the normal requirements for obtaining the degree without particular restrictions.   This shows how integrated and how flexible the Department has been in terms of the graduate degree programs.   The whole aim for such a scheme is to allow students broader opportunity to widen their scope of learning and the possibility of a more diversified future.   Since there is no clear-cut boundary to differentiate the specialties between that of Institute of Mathematics and of Institute of Applied Mathematics, the courses offered by the two institutes actually are well coordinated to supplement each other’s needs.  Normally a course carries 3 credits.  The courses offered by the two institutes together include Function of Real Variables (I), Function of Real Variables (II), Ordinary Differential Equations (I), Ordinary Differential Equations (II), Partial Differential Equations (I), Partial Differential Equations (II), General Theory of Algebra (I), General Theory of Algebra (II), Introduction to Modern Geometry (I), Introduction to Modern Geometry (II), Introduction to Applied Mathematics (I), Numerical Linear Algebra, Partial Differential Equation Numerical Methods (I), Partial Differential Equation Numerical Methods (II), Numerical Ordinary Differential Equations, Applied Functional Analysis, Optimization Methods(I), Optimization Methods (II).

The courses offered at Institute of Statistical Science are usually related to statistics and probability.  However, students enrolled in the Institute may take courses in the other two institutes and obtain credits.  The courses currently offered include Probability Theory, Multivariate Methods, Mathematical Statistics (I), Mathematical Statistics (II), Regression Analysis, Experimental Design, Statistical Computation, Computational Statistics, Reliability Analysis, Survival Analysis, Statistical Quality Control, Statistical Forecasting Methods, Data Analysis.


M.S. program in  Mathematics

Course List

Number Required/

Selected

Credits Course Title Language
2405002 Selected 3 Topics in Analysis (II) Chinese – taught
2405005 Selected 3 Topics in Analysis (I) Chinese – taught
2405007 Required 3 Introduction to Modern Geometry (I) Chinese – taught
2405008 Required 3 Introduction to Modern Geometry (II) Chinese -taught
2405009 Required 3 Real Analysis (I) Chinese – taught
2405010 Required 3 Real Analysis (II) Chinese – taught
2405101 Selected 3 Complex Analysis (I) Chinese – taught
2405102 Selected 3 Complex Analysis (II) Chinese -taught
2405201 Selected 3 Introduction to Fluid Mechanics Chinese – taught
2405305 Selected 3 Algebraic Topology (I) Chinese – taught
2405306 Selected 3 Algebraic Topology (II) Chinese – taught
2405307 Selected 3 Introduction to Commutative Algebra (I) Chinese -taught
2405308 Selected 3 Introduction to Commutative Algebra (II) Chinese – taught
2405315 Selected 3 Algebraic curve Chinese – taught
2405320 Selected 3 Algebraic curve (II) Chinese – taught
2405401 Required 3 Topics in Algebra (I) Chinese -taught
2405402 Required 3 Topics in Algebra (II) Chinese – taught
2405405 Selected 3 Special Topics in Algebra (I) Chinese – taught
2405406 Selected 3 Special Topics in Algebra (II) Chinese – taught
2405407 Selected 3 Commutative Ring Theory (I) Chinese -taught
2405408 Selected 3 Commutative Ring Theory (II) Chinese – taught
2405409 Selected 3 Ring and Graphs Chinese – taught
2405410 Selected 3 Graph Theory Chinese – taught
2405411 Selected 3 Applied Abstract Algebra Chinese -taught
2406240 Selected 3 Topics in Complex Analysis (I) Chinese – taught
2406301 Selected 3 Topics in Differential Geometry (I) Chinese – taught
2406302 Selected 3 Topics in Differential Geometry (II) Chinese – taught
2406303 Selected 3 Topics in Riemannian Geometry (I) Chinese -taught
2406304 Selected 3 Topics in Riemannian Geometry (II) Chinese – taught
2406310 Selected 3 Topics in Modern Geometry (I) Chinese – taught
2406313 Selected 3 Topics in Modern Geometry (I) Chinese – taught
2406314 Selected 3 Topics in Modern Geometry (II) Chinese -taught
2406321 Selected 3 Topics in Geometric Analysis Chinese – taught
2406322 Selected 3 Topics in Geometric Analysis (II) Chinese – taught
2406451 Selected 3 Topics in Number Theory (I) Chinese – taught
2406452 Selected 3 Topics in Number Theory (II) Chinese -taught
2406453 Selected 3 Topics in Number Theory (III) Chinese – taught
2406454 Selected 3 Topice in Number Theory (IV) Chinese – taught
2406457 Selected 3 Theory of Modular Forms (I) Chinese – taught
2406458 Selected 3 Theory of Modular Forms (II) Chinese -taught
2408806 Required 2 Literature Readings Chinese -taught

M.S. program in Applied Mathematics

Course List

Number

Required/

Selected

Credits Course Title

Language

2105005 Required 3 Matahematical Analysis (I) Chinese – taught
2105006 Required 3 Matahematical Analysis (Ⅱ) Chinese – taught
2105007 Selected 3 Mathematical Modeling Chinese – taught
2105008 Selected 3 Topics in Calculus Teaching Theory and Practice Chinese -taught
2105101 Selected 3 Complex Analysis (I) Chinese – taught
2105102 Selected 3 Complex Analysis (II) Chinese – taught
2105201 Selected 3 Ordinary Differential Equations (I) Chinese – taught
2105202 Selected 3 Ordinary Differential Equations (II) Chinese -taught
2105203 Selected 3 Partial Differential Equations (I) Chinese – taught
2105204 Selected 3 Partial Differential Equations (II) Chinese – taught
2105501 Selected 3 Introduction to Applied Mathematics (I) Chinese – taught
2105502 Selected 3 Introduction to Applied Mathematics (II) Chinese -taught
2105503 Selected 3 Perturbation Methods Chinese – taught
2105504 Selected 3 Perturbation Methods (II) Chinese – taught
2105509 Selected 3 Numerical Analysis Chinese – taught
2105521 Selected 3 Numerical Linear Algebra Chinese -taught
2105522 Selected 3 Numerical Ordinary Differential Equations Chinese – taught
2105531 Selected 3 Numerical Analysis and Scientific Computing Chinese – taught
2105532 Selected 3 Foundation of Scientific Computing Chinese – taught
2105533 Selected 3 Computer Programming And Applications Chinese -taught
2105551 Selected 3 Linear Programming (I) Chinese – taught
2105553 Selected 3 Optimization Methods (I) Chinese – taught
2105554 Selected 3 Optimization Methods (II) Chinese – taught
2106201 Selected 3 Topics in Ordinary Differential Equations (I) Chinese -taught
2106202 Selected 3 Topics in Ordinary Differential Equations (II) Chinese – taught
2106203 Selected 3 Special Topics in Partial Diferential Equations (I) Chinese – taught
2106204 Selected 3 Special Topics in Partial Diferential Equations (II) Chinese – taught
2106207 Selected 3 Topics in Linear Partial Differential Equations (I) Chinese -taught
2106208 Selected 3 Topics in Linear Partial Differential Equations (II) Chinese – taught
2106209 Selected 3 Topics in Nonlinear Partial Differential Equations (I) Chinese – taught
2106210 Selected 3 Topics in Nonlinear Partial Differential Equations (II) Chinese – taught
2106217 Selected 3 Topics in Mathematical Fluid Dynamics (I) Chinese -taught
2106218 Selected 3 Topics in Mathematical Fluid Dynamics (II) Chinese – taught
2106291 Selected 2 Special Topics in Partial Diferential Equations (I) Chinese – taught
2106292 Selected 2 Special Topics in Partial Diferential Equations (II) Chinese – taught
2106511 Selected 3 Topics in Numerical Analysis (I) Chinese -taught
2106513 Selected 3 Topics in Numerical Methods for O. D. E. (I) Chinese – taught
2106514 Selected 3 Topics in Numerical Methods for O. D. E. (II) Chinese -taught
2106515 Selected 3 Selected Topics on Numerical Methods in P.D.E. (I) Chinese – taught
2106516 Selected 3 Selected Topics on Numerical Methods in P.D.E. (II) Chinese – taught
2106518 Selected 3 Special topics on Numercial methods for PDEs Chinese – taught
2106531 Selected 3 Selected Topics on the Methods of Applied Mathimatics Chinese -taught
2106532 Selected 3 Topics in Applied Mathematics Chinese – taught
2106551 Selected 3 Topics in Operations Research (I) Chinese – taught
2106552 Selected 3 Topics in Operations Research (II) Chinese – taught
2106553 Selected 3 Topics in Optimization (I) Chinese – taught
2106554 Selected 3 Topics in Optimization (II) Chinese – taught
2108804 Required 2 Literature Readings Chinese – taught

 

M.S. program in Statistical Sciences

Course List

Number Required/ Selected Credits Course Title Language
2315700 Selected 3 Stochastic Simulation Chinese – taught
2315701 Selected 3 Probability Theory Chinese – taught
2315702 Selected 3 Advanced Probability Theory Chinese – taught
2315703 Selected 3 Stochastic Process Chinese – taught
2315704 Selected 3 Applied Probability Chinese – taught
2315705 Selected 3 Mathematical Formulation on Practical Random Phenomena Chinese – taught
2315706 Selected 3 Introduction to Probability Models Chinese – taught
2315711 Required 3 Mathematical Statistics (I) Chinese – taught
2315712 Required 3 Mathematical Statistics (II) Chinese – taught
2315716 Selected 3 Spatial Statistics Chinese – taught
2315721 Selected 3 Applied Statistics Chinese – taught
2315722 Selected 3 Data Analysis Chinese – taught
2315723 Selected 3 Multivariate Methods Chinese – taught
2315724 Selected 3 Sampling Methods Chinese – taught
2315725 Selected 3 Regression Analysis Chinese – taught
2315726 Selected 3 Design of Experiments Chinese – taught
2315727 Selected 3 Fundamentals of Survey Methodology Chinese – taught
2315728 Selected 3 Introduction to Big Data Analysis Chinese – taught
2315729 Selected 3 Unsupervised Learning Chinese – taught
2315730 Selected 3 Statistical Computing Languages and Software Chinese – taught
2315732 Selected 3 Topics in Statistical Methods Chinese – taught
2315733 Required 3 Computational Statistics Chinese – taught
2315743 Selected 3 Survival Analysis Chinese – taught
2315747 Selected 3 Statistical Quality Control Chinese – taught
2315748 Selected 3  Reliability Analysis Chinese – taught
2315751 Selected 3 Statistical Methods for Forecasting Chinese – taught
2315761 Selected 3 Empirical Bayes Chinese – taught
2315775 Selected 3 Biostatistics Chinese – taught
2315776 Selected 3 Longitudinal Data Analysis Chinese – taught
2315777 Selected 3 Statistical Methods in Clinical Trials Chinese – taught
2316703 Selected 3 Advanced Probability Models Chinese – taught
2316711 Selected 3 Advanced Statistical Inference Chinese – taught
2316712 Selected 3 Theory statistical asymptotic Chinese – taught
2316723 Selected 3 Analysis of Categorical Data Chinese – taught
2316725 Selected 3 Generalized Linear Models Chinese – taught
2316727 Selected 3 Nonparametric Regression Analyisi Chinese – taught
2316731 Selected 3 Recursive Paratitioning Methods Chinese – taught
2316732 Selected 3 Machine Learning Chinese – taught
2316751 Selected 3 Time Series Chinese – taught
2316801 Selected 3 Advanced Statistics (I) Chinese – taught
2316802 Selected 3 Advanced Statistics (II) Chinese – taught
2316821 Selected 3 Topics in Regression Analysis (I) Chinese – taught
2316825 Selected 3 Topics in Generalized Linear Models Chinese – taught
2316833 Selected 3 Topics on Computing Statistics Chinese – taught
2317813 Selected 3 Topics in Multivariate Analysis (I) Chinese – taught
2317814 Selected 3 Topics in Multivariate Analysis (II) Chinese – taught
2317815 Selected 2 Weakly Empirical Processes Chinese – taught
2317816 Selected 3 Topics in Empirical Bayes Chinese – taught
2317821 Selected 3 Statistical Consultation Chinese – taught
2318813 Selected 2 Scientific English Writing Chinese – taught
2318814 Required 2 Literature Study Chinese – taught

THE UNDERGRADUATE COURSES

     Courses provided for the undergraduate students are designed to maintain proficiency of all aspects of mathematical knowledge and skills required for a mathematics student to graduate with a Bachelor of Science degree.  In regard to taking courses by undergraduate students at the Department, a special feature is that they are encouraged to take the graduate courses offered by the institutes, especially during their last year, Currently the undergraduate courses include Calculus (I), Calculus (II), Advanced Calculus (I), Advanced Calculus (II), Set Theory, Linear Algebra, Differential Equations, Probability Theory, Algebra (I), Algebra (II), Point Set Topology, Geometry, Function of Complex Variables (I), Function of Complex Variables (II), Introduction to Numerical Linear Algebra, Differential Equation Numerical Methods, Mathematical History, Elementary Number Theory, Statistical Science, Statistical Methods, Introduction to Operational Research (I), Introduction to Operational Research (II).

 


B.S. program in  Mathematics

Course List

Number Required/ Selected Credits Course Title Language
2101001 Required 4 Calculus (I) Chinese – taught
2101002 Required 4 Calculus (II) Chinese – taught
2101005 Selected 3 Elementary Math (I) Chinese – taught
2101006 Selected 3 Elementary Math (II) Chinese – taught
2101007 Selected 2 Introduction to Mathematics Chinese – taught
2101008 Selected 2 Introduction to Mathematics (II) Chinese – taught
2101009 Selected 3 Set Theory Chinese – taught
2101010 Selected 4 Calculus Chinese – taught
2101011 Required 3 Linear Algebra (I) Chinese – taught
2101012 Required 3 Linear Algebra (II) Chinese – taught
2101013 Selected 3 Linear Algebra Chinese – taught
2101014 Selected 4 Linear Algebra Chinese – taught
2101016 Selected 3 Linear Algebra Chinese – taught
2101017 Selected 4 Mathematics for Life Sciences Chinese – taught
2101712 Selected 2 Elementary Statistics Chinese – taught
2101888 Selected 0 Service Learning:Campus Service Chinese – taught
2102001 Required 4 Advanced Calculus (I) Chinese – taught
2102002 Required 4 Advanced Calculus (II) Chinese – taught
2102003 Selected 1 Advanced Calculus Study (I) Chinese – taught
2102004 Selected 1 Advanced Calculus Study (II) Chinese – taught
2102201 Required 3 Introduction to Ordinary Differential Equation (I) Chinese – taught
2102401 Required 3 Algebra (I) Chinese – taught
2102402 Required 3 Algebra (II) Chinese – taught
2102403 Selected 1 Algebra Study (I) Chinese – taught
2102404 Selected 1 Algebra Study (II) Chinese – taught
2102701 Required 3 Introduction to Probability Chinese – taught
2102702 Selected 3 Probability Models Chinese – taught
2102711 Selected 3 Statistics (I) Chinese – taught
2102712 Selected 3 Statistics (II) Chinese – taught
2102713 Selected 3 Introduction to Statistics Chinese – taught
2103001 Required 3 Topology Chinese – taught
2103101 Required 3 Complex Analysis (I) Chinese – taught
2103102 Selected 3 Complex Analysis (II) Chinese – taught
2103301 Required 3 Introduction to Geometry Chinese – taught
2103302 Selected 3 Introduction to Geometry (Ⅱ) Chinese – taught
2103401 Selected 3 Modern Algebra (I) Chinese – taught
2103402 Selected 3 Modern Algebra (II) Chinese – taught
2103403 Selected 3 Commutative algebra and combinatorics Chinese – taught
2103404 Selected 3 Discrete Mathematics Chinese – taught
2103511 Selected 3 Numerical Analysis (I) Chinese – taught
2103512 Selected 3 Numerical Analysis (II) Chinese – taught
2103521 Selected 3 Introduction to Numerical Linear Algebra Chinese – taught
2103522 Selected 3 Numerical Methods for Differential Equations Chinese – taught
2103523 Selected 3 Mathematics History Chinese – taught
2103524 Selected 3 Elementary Number Theory Chinese – taught
2103525 Selected 3 Elementary Number Theory (II) Chinese – taught
2103701 Selected 3 Statistical Science Chinese – taught
2103711 Selected 3 Statistical Methods Chinese – taught
2104001 Selected 3 Topics in Analysis (I) Chinese – taught
2104002 Selected 3 Topics in Analysis (II) Chinese – taught
2104003 Selected 3 Advanced Linear Algebra (I) Chinese – taught
2104201 Selected 3 Introduction to Partial Differential Equations Chinese – taught
2104301 Selected 3 Introduction to Modern Geometry (I) Chinese – taught
2104302 Selected 3 Introduction to Modern Geometry (II) Chinese – taught
2104303 Selected 3 Introduction to Modern Mathematics Chinese – taught
2104305 Selected 3 Fundamental of Mathematical Analysis Chinese – taught
2104401 Selected 3 Topic in Modern Mathematics I Chinese – taught
2104402 Selected 3 Topic in Modern Mathematics (II) Chinese – taught
2104531 Selected 3 Introduction to Mathematical Modeling (I) Chinese – taught
2104551 Selected 3 Introduction to Operations Research (I) Chinese – taught
2104552 Selected 3 Introduction to Operations Research (II) Chinese – taught
2104553 Selected 3 Introduction to Linear Programming Chinese – taught
2104554 Selected 3 Introduction to Scientific Computing-Modeling of Curves and Surfaces Chinese – taught
2104601 Selected 3 Introduction to Mathematical Finance Chinese – taught
2104701 Selected 3 Statistical Inference Chinese – taught
2104711 Selected 3 Introduction to biological statistics Chinese – taught
2103613 Required 3 Introduction to Numerical Analysis Chinese – taught