Curriculum of the Master degree program of Department of Mathematics

　

　　　　　　　　　　　Minimal credit requirement for Master degree: 30

　

　　　　　　　　　　　I､Core curriculum

Analysis (I)           3

Analysis (II)         3

Algebra (I)    3

Algebra (II)   3

Mathematical Statistics(I)3

Mathematical Statistics(II)3

高等演算法(一)3

高等演算法(二)3

Thesis Supervision(I)   3

Thesis Supervision(II)   3

Thesis        0

 

　　　　　　　　　　　II､Electives

Probability and Statistics(I) (II)                3/3

Lie Groups and (I) (II)             3/3

Functional Analysis (I) (II)                      3/3

Topics on Algebra (I) (II)            3/3

Convex Analysis (I) (II)                         3/3

Topics on Number Theory (I)(II)        3/3  

Differential Geometry (I) (II)                   3/3

Independent Study (I) (II)           3/3

Algebraic topology (I) (II)                     3/3

Homology Algebra (I) (II)           3/3

Analytic Number Theory (I) (II)           3/3

Partial Differential Equations (I) (II)   3/3

Data Analysis (I) (II)                            3/3

Ordinary Differential Equations (I) (II) 3/3

Stochastic Process (I) (II)                    3/3

Optimization (I) (II)                3/3

Algebraic Number Theory (I) (II)         3/3

Dynamical Systems (I) (II)          3/3

Nonlinear Analysis (I) (II)                    3/3

Modern Measurement Theory (I) (II)  3/3

Probability Theory (I) (II)                     3/3

Advanced Numerical Analysis(一) (二)  3/3

分割理論(一) (二)                             3/3

Chaos and Dynamical Systems (I) (II)   3/3

Advanced Number Theory (I) (II)       3/3

Sampling                         3

特殊函數(一) (二)                            3/3

Multivariate Analysis               2

Fix Point Theory                                  3

數值方法                        3

Statistical Computing                            3

Generalized Linear Model           3

數學模型推導                                   3

Categorical Data Analysis           3

計量財務                                            3

Selected Topics in Research         2

Topics in Stochastic Process (I) (II)      3/3

Topics on Functional analysis (I) (II)   3/3

Topics in Nonlinear Analysis (I) (II)     3/3

數學教育專題(一) (二)             3/3

Topics on Nonlinear Partial Differential

Equation (I) (II)                                   3/3

定點理論專題                    3

動態系統專題                                     3

動態系統學書報討論(一) (二)       2/2

偏微分方程書報討論(一) (二)          2/2

常微分方程書報討論(一) (二)       2/2

教育測驗與評量書報討論(一) (二)      2/2

數學哲學書報討論                2

　　　　　　　　　　　　　　Remarks:

　　　　　　　　　　　　　　1.Students are required to choose one from three specialty areas: mathematics, probability and statistics, and information science.

　　　　　 　　　　　　　　　   The course requirement for specialty areas is as follows:

　　　　　　　　　　　　　　Mathematics: Analysis I, II, Algebra I, II.

　　　　　　　　　　　　　　Probability and statistics: Analysis I, II, Mathematical Statistics I, II.

　　　　　　　　　　　　　　Information science:高等演算法 I, II, and one group from Analysis I, II, Algebra I, II, and Mathematical statistics I, II.

　　　　　　　　　　　　　　2.Thesis Supervision I, II 3/3 are required but the credits are not counted towards satisfaction of the course requirement for master degree.

　　　　        　　　　　 　　　3.Numeral (s) following the course title (s) is (are) the course credits.

　　　　 　　    　　　　　　   4.Student register in a term must enroll in at least one course ( Thesis is not excluded ); otherwise, he/she should seek approval for leave of absence.