Curriculum of the Doctoral degree program of Department of Mathematics

 Minimal credit requirement for Doctoral degree: 30

　

 I. Core curriculum

Thesis Supervision (I)   3

Thesis Supervision (II)  3

Doctoral Dissertation   0

　

 II. Electives

Combinatorics (I) (II)              3/3

Functional Analysis (I) (II)         3/3

Calculus of Variations (I) (II)        3/3

Algebraic Topology (I) (II)         3/3

Lie Groups (I) (II)                3/3

Differential Topology (I) (II)        3/3

Statistics (I) (II)                  3/3

Data Analysis (I) (II)              3/3

Homology Algebra (I) (II)          3/3

 

Lie Algebras (I) (II)               3/3

Nonlinear Analysis (I) (II)         3/3

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

Probability Theory (I) (II)          3/3

微分微何(一) (二)               3/3

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

Matrix Theory (I) (II)              3/3

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

Real Analysis (I) (II)              3/3

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

Convex Analysis (I) (II)         3/3               

隨機測度論(一) (二)             3/3

隨機計算(一) (二)               3/3

動態系統學(一) (二)             3/3

計量財務                         3

Advanced Statistical Inference       3

Fix Point Theory                 3

Statistical Computing              3

Optimization                    3

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

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

Topics in Parabolic Equations (I) (II)  3/3

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

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

定點理論專題                  3

動態系統專題                  3

Topics in Elliptic Equations         3

論文選讀(一) (二)               3/3

偏微分方程論文選讀(一) (二)     3/3

機率論論文選讀(一) (二)         3/3

動態系統論文選讀(一) (二)       3/3

實分析書報討論(一) (二)       2/2

常微分方程書報討論(一) (二)     2/2

偏微分方程書報討論(一) (二)     2/2

動態系統學書報討論(一) (二)     2/2

機率書報討論                  2

統計計算書報討論              2

 

Remarks:

1. At most 10 credits in 書報討論and 論文選讀 are counted towards satisfaction of course requirement for the degree.

2. Thesis Supervision I, II 3/3 are required but the credits are not counted towards satisfaction of the course requirement for the 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 (Doctoral Dissertation is not excluded); otherwise, he/she should seek approval for leave of absence.