Program structure
Types of study
There are two types of study in the PhD Mathematics program at the Faculty of Science, Mahidol University:
- Type 1: Research only
- Type 2: Coursework and research
In the sections below, you can find more details about study plans and options for both study types.
Type 1: Research only
Only students who have obtained a master’s degree prior to joining the program are eligible for Type 1. In this study type, students must complete at least 48 credits of research. As shown in the study plan below, students will spend the whole period of study on conducting research and produce a doctoral dissertation.
Semester I
| Code | Course title | Credits |
| SCMA 898 | Dissertation | 8 |
Semester II
| Code | Course title | Credits |
| SCMA 898 | Dissertation | 8 |
Semester I
| Code | Course title | Credits |
| SCMA 898 | Dissertation | 8 |
Semester II
| Code | Course title | Credits |
| SCMA 898 | Dissertation | 8 |
Semester I
| Code | Course title | Credits |
| SCMA 898 | Dissertation | 8 |
Semester II
| Code | Course title | Credits |
| SCMA 898 | Dissertation | 8 |
Type 2: Coursework and research
In Type 2, students must fulfill both coursework and research requirements. Two study plans are available in this study type.
Plan 2.1 for students with a master’s degree
Students with a master’s degree prior to joining the program can choose Plan 2.1. In this study plan, students must complete 12 credits of course work and 36 credits of research for dissertation. Total credits are not less than 48 credits. The recommended study plan is as follows:
Semester I
| Code | Course title | Credits |
| SCMA 650 | Advanced Analysis | 3 |
| SCMA 691 | Generic Skills for Research in Mathematics | 1 |
| SCMA 692 | Mathematics Seminar I | 1 |
| SCMA XXX | Elective course | 3 |
Semester II
| Code | Course title | Credits |
| SCMA 615 | Algebra | 3 |
| SCMA 693 | Mathematics Seminar II | 1 |
Semester I
| Code | Course title | Credits |
| SCMA 699 | Dissertation | 9 |
Semester II
| Code | Course title | Credits |
| SCMA 699 | Dissertation | 9 |
Semester I
| Code | Course title | Credits |
| SCMA 699 | Dissertation | 9 |
Semester II
| Code | Course title | Credits |
| SCMA 699 | Dissertation | 9 |
Plan 2.2 for students with a bachelor’s degree
Students without a master’s degree must pursue Plan 2.2. In this study plan, students must complete 24 credits of course work and 48 credits of research for dissertation. Total credits are not less than 72 credits. The recommended study plan is as follows:
Semester I
| Code | Course title | Credits |
| SCMA 650 | Advanced Analysis | 3 |
| SCMA 691 | Generic Skills for Research in Mathematics | 1 |
| SCMA 692 | Mathematics Seminar I | 1 |
| SCMA XXX | Elective course | 3 |
| SCMA XXX | Elective course | 3 |
Semester II
| Code | Course title | Credits |
| SCMA 615 | Algebra | 3 |
| SCMA 670 | Advanced Differential Equations | 3 |
| SCMA 693 | Mathematics Seminar II | 1 |
| SCMA XXX | Elective course | 3 |
| SCMA XXX | Elective course | 3 |
Semester I
| Code | Course title | Credits |
| SCMA 799 | Dissertation | 8 |
Semester II
| Code | Course title | Credits |
| SCMA 799 | Dissertation | 8 |
Semester I
| Code | Course title | Credits |
| SCMA 799 | Dissertation | 8 |
Semester II
| Code | Course title | Credits |
| SCMA 799 | Dissertation | 8 |
List of elective courses
PhD students in Type 2 have an option to choose a number of elective courses of their interest. Below you can see the list of elective courses in each research field:
| Code | Course title | Credits |
| SCMA 633 | Stochastic Processes | 3 |
| SCMA 639 | Current Topics in Statistical Mathematics | 3 |
| SCMA 640 | Probability Theory | 3 |
| SCMA 643 | Time Series Analysis | 3 |
| SCMA 645 | Generalized Linear Models | 3 |
| SCMA 688 | Statistical Inference | 3 |
| Code | Course title | Credits |
| SCMA 606 | Topology | 3 |
| SCMA 607 | Functional Analysis | 3 |
| SCMA 610 | Real Analysis | 3 |
| SCMA 620 | Complex Analysis | 3 |
| Code | Course title | Credits |
| SCMA 621 | Deterministic Models | 3 |
| SCMA 622 | Probabilistic Models | 3 |
| SCMA 623 | Optimization | 3 |
| SCMA 631 | Decision Analysis | 3 |
| SCMA 677 | Data Mining | 3 |
| Code | Course title | Credits |
| SCMA 603 | Theory of Ordinary Differential Equations | 3 |
| SCMA 625 | Partial Differential Equations | 3 |
| SCMA 628 | Finite Element Methods | 3 |
| SCMA 654 | Numerical Analysis | 3 |
| SCMA 673 | Dynamical Systems | 3 |
| SCMA 674 | Mathematical Models in the Life Sciences | 3 |
| Code | Course title | Credits |
| SCMA 609 | Current Topics in Mathematics I | 3 |
| SCMA 629 | Current Topics in Computational Mathematics | 3 |
| SCMA 649 | Current Topics in Mathematics II | 3 |
| SCMA 655 | Current Topics in Mathematical Physics | 3 |
Key information
- Duration: 3-5 years
- Location: Phyathai Campus
- Next intake: January 2023
