The curriculum of the Master’s Program in Mathematics consists of courses and a Thesis. Courses are organized based on the competencies expected from graduates of the Master’s Program in Mathematics, as shown in Table 1, and are categorized into mandatory program courses, mandatory interest courses, and elective courses. The 2022 curriculum for the Master’s Program in Mathematics can be downloaded HERE or the English version at HERE.
The thesis is required to fulfill intellectual development competencies and is conducted in two parts, Thesis I (2 credits) and Thesis II (6 credits). Thesis I aims to assess the student’s competence in determining research topics and materials, methodology, and the feasibility of the research plan. Thesis II aims to evaluate the student’s competence in conducting research, mastering the material, and writing scientific works.
The following Table 1 presents the structure of the Master’s Program in Mathematics Curriculum based on the distribution of course load components and fields of interest. The selection of interest fields is determined no later than the start of Semester II. The recommended scheme for taking courses each semester for each interest can be seen in Table 2. For thesis work, it can generally be taken in two alternatives.
- Alternative A
Thesis I and Thesis II may be taken separately in different semesters, namely in Semester III and Semester IV.
- Alternative B
Thesis I and Thesis II are both taken in Semester IV, and all elective courses are completed by Semester III.
Table 1:
Structure of the Master’s Program in Mathematics Curriculum
| Study Component | Credit Load | Description |
| Mandatory Program Courses | 12 Credits | 1. Analysis I (3 Credits)
2. Advanced Linear Algebra (3 Credits) 3. Mathematical Statistics I (3 Credits) 4. Mathematical Modelling and Computation (3 Credits) |
| Mandatory Field of Interest Courses | 9 Credits | Required Courses for Analysis Interest (9 Credits) consists of:
1. Analysis II (3 Credits) 2. Functional Analysis (3 Credits) 3. Topology (3 Credits) |
| Required Courses for Algebra and Combinatorics Interest (9 Credits) consists of:
1. Algebra Structures (3 Credits) 2. Graph Theory and Combinatorics (3 Credits) 3. Matrix Analysis (3 Credits) |
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| Required Courses for Applied Mathematics and Computation Interest (9 Credits) consists of:
1. Optimization Theory (3 Credits) 2. Differential Equations (3 Credits) 3. Applied Computational Analysis (3 Credits) |
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| Required Courses for Statistics, Data Science, and Actuarial Science Interest (9 Credits) choose 3 of the following 5 courses:
1. Stochastic Processes (3 Credits) 2. Multivariate Analysis (3 Credits) 3. Financial Mathematics (3 Credits) 4. Machine Learning (3 Credits) 5. Applied Statistical Computing I (3 Credits) |
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| Thesis | 8 Credits | 1. Thesis I (2 Credits)
2. Thesis II (6 Credits) |
| Elective Courses | Min. 15 Credits
Max. 21 Credits |
In addition to taking 12 Credits of Mandatory Program Courses, 9 Credits of Mandatory Field of Interest Courses, and 8 Credits for the Thesis, students must take a minimum of 15 Credits and a maximum of 21 Credits of elective courses, with at least 12 Credits being Electives from within their field of interest, (The grouping of courses within a field of interest is listed in Appendix I) |
| Total | ● Total Credits required is a minimum of 44 Credits (including Thesis I and Thesis II), and a maximum of 50 Credits (including Thesis I and Thesis II).
● Students may drop courses with a maximum cancellation of 10% of the total Credits they have undertaken. |
|
Table 2.
Recommended Course Taking Scheme Over 4 Semesters for Each Interest
| Analysis Interest | Algebra and Combinatorics Interest | Applied Mathematics and Computation Interest | Statistics, Data Science, and Actuarial Science Interest | |
| Semester I
(15 Credits)
|
9 Credits Mandatory Program Courses:
● Advanced Linear Algebra (3 Credits) ● Analysis I (3 Credits) ● Mathematical Statistics I (3 Credits) |
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| 3 Credits Mandatory Field of Interest: Topology (3 Credits) | 6 Credits Electives
|
6 Credits Electives
|
6 Credits Electives
|
|
| Semester II
(maximum 15 Credits)
|
3 Credits Mandatory Program Courses: Mathematical Modelling and Computation (3 Credits) | 3 Credits Mandatory Program Courses: Mathematical Modelling and Computation
(3 Credits) |
3 Credits Mandatory Program Courses: Mathematical Modelling and Computation (3 Credits) | 3 Credits Mandatory Program Courses: Mathematical Modelling and Computation (3 Credits) |
| 6 Credits Mandatory Field of Interest
1. Analysis II (3 Credits) 2. Functional Analysis (3 Credits)
|
9 Credits Mandatory Field of Interest
1. Algebra Structures (3 Credits) 2. Graph Theory and Combinatorics (3 Credits) 3. Matrix Analysis (3 Credits) |
9 Credits Mandatory Field of Interest:
1. Optimization Theory (3 Credits) 2. Differential Equations (3 Credits) 3. Applied Computational Analysis (3 Credits) |
9 Credits Mandatory Field of Interest by choosing 3 of the following 5 courses:
1. Stochastic Processes (3 Credits) 2. Multivariate Analysis (3 Credits) 3. Financial Mathematics (3 Credits) 4. Machine Learning (3 Credits) 5. Applied Statistical Computing I (3 Credits) |
|
| Electives
(maximum 6 Credits) |
Electives
(maximum 3 Credits) |
Electives
(maximum 3 Credits) |
Electives
(maximum 3 Credits) |
|
| Semester III
|
Alternative A:
Thesis I (2 Credits) and Electives (6 – 12 Credits) |
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| Alternative B:
Electives (9 – 15 Credits) |
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| Semester IV | Alternative A:
Thesis II (6 Credits) and Electives (0 – 9 Credits) |
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| Alternative B:
Thesis I (2 Credits) and Thesis II (6 Credits) |
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Note:
- Mandatory Program Courses are offered every semester
- In semesters III and IV, there are two alternatives for the study plan: Thesis I and Thesis II can be taken in two separate semesters or can be taken in Semester IV
- The number of Credits taken after Semester I is determined by the GPA of the previous semester.
- If the GPA is less than 3.00, then the maximum Credits taken is 12 Credits.
- If the GPA is 3.00 or higher, then the maximum Credits taken is 15 Credits (for the Regular Master’s Program in Mathematics).