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Kurikulum Program Studi Magister Matematika terdiri atas satuan mata kuliah dan Tesis. Mata kuliah disusun berdasarkan kompetensi yang diharapkan dari lulusan Program Studi Magister Matematika, seperti tercantum pada Tabel 1, yang dibedakan menjadi mata kuliah wajib program studi, mata kuliah wajib minat dan mata kuliah pilihan. Kurikulum 2022 Program Studi Magister Matematika dapat diunduh di SINI atau versi bahasa inggris di SINI.
Tesis diwajibkan untuk memenuhi kompetensi mengembangkan intelektual dan dikerjakan dalam dua bagian, Tesis I (2 SKS) dan Tesis II (6 SKS). Tesis I bertujuan untuk menilai kompetensi mahasiswa dalam menentukan topik dan materi penelitian, metodologi dan kelayakan rencana penelitian. Tesis II bertujuan untuk menilai kompetensi mahasiswa dalam melakukan penelitian, penguasaan materi dan penulisan karya ilmiah.
Dalam Tabel 1 berikut disajikan struktur Kurikulum Program Studi Magister Matematika berdasarkan distribusi komponen beban studi dan minat-minat studi. Pemilihan minat paling lambat ditentukan pada awal Semester II. Sedangkan skema pengambilan tiap semester yang dianjurkan untuk tiap-tiap minat dapat dilihat pada Tabel 2. Untuk pengerjaan tesis, secara garis besar pengambilannya dapat dilakukan atas 2 (dua) alternatif.
- Alternatif A
Tesis I dan Tesis II dapat diambil secara terpisah pada semester yang berbeda yakni pada Semester III dan Semester IV.
- Alternatif B
Tesis I dan Tesis II sekaligus diambil pada semester IV, dan seluruh mata kuliah pilihan telah selesai pada semester III.
Tabel 1:
Struktur Kurikulum Program Studi Magister Matematika
| Komponen Studi | Beban SKS | Keterangan |
| Mata Kuliah
Wajib Program Studi |
12 SKS | 1. Analisis I (3 SKS)
2. Aljabar Linear Lanjut (3 SKS) 3. Statistika Matematika I (3 SKS) 4. Pemodelan Matematika dan Komputasi (3 SKS) |
| Mata Kuliah
Wajib Bidang Minat |
9 SKS | MK Wajib Bidang Minat Analisis (9 SKS) terdiri dari:
1. Analisis II (3 SKS) 2. Analisis Fungsional (3 SKS) 3. Topologi (3 SKS) |
| MK Wajib Bidang Minat Aljabar dan Kombinatorika (9 SKS) terdiri dari:
1. Struktur Aljabar (3 SKS) 2. Teori Graf dan Kombinatorika (3 SKS) 3. Analisis Matriks (3 SKS) |
||
| MK Wajib Bidang Minat Matematika Terapan dan Komputasi (9 SKS) terdiri dari:
1. Teori Optimisasi (3 SKS) 2. Persamaan Diferensial (3 SKS) 3. Analisis Komputasi Terapan (3 SKS) |
||
| MK Wajib Bidang Minat Statistika, Sains Data, dan Sains Aktuaria (9 SKS) dengan memilih 3 MK di antara 5 MK sbb:
1. Proses Stokastik (3 SKS) 2. Analisis Multivariat (3 SKS) 3. Matematika Keuangan (3 SKS) 4. Machine Learning (3 SKS) 5. Komputasi Statistika Terapan I (3 SKS) |
||
| Tesis | 8 SKS | 1. Tesis I (2 SKS)
2. Tesis II (6 SKS) |
| Mata Kuliah
Pilihan |
Min. 15 SKS
Maks. 21 SKS |
Selain menempuh 12 SKS MK Wajib PS, 9 SKS Wajib Minat, serta 8 SKS Tesis, mahasiswa harus menempuh mata kuliah pilihan sejumlah minimal 15 SKS dan maksimal 21 SKS, dengan ketentuan minimal 12 SKS diantaranya merupakan Mata Kuliah Pilihan dari dalam bidang minatnya, (Pengelompokan MK dalam suatu bidang minat tercantum dalam Lampiran I) |
| Total | ● Total SKS yang harus ditempuh minimum 44 SKS (termasuk Tesis I dan Tesis II), dan maksimum 50 SKS (termasuk Tesis I dan Tesis II).
● Mahasiswa dapat membatalkan MK dengan ketentuan maksimum pembatalan adalah 10% dari total SKS yang sudah ditempuh mahasiswa. |
|
Tabel 2.
Skema Pengambilan Mata Kuliah dalam 4 Semester yang Dianjurkan untuk Tiap Minat
| Minat Analisis | Minat Aljabar dan Kombinatorika | Matematika Terapan dan Komputasi | Statistika, Sains Data, dan Sains Aktuaria | |
| Semester I
(15 SKS)
|
9 SKS MK Wajib PS:
● Aljabar Linear Lanjut (3 SKS) ● Analisis I (3 SKS) ● Statistika Matematika I (3 SKS) |
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| 3 SKS MK Wajib Minat: Topologi (3 SKS) | 6 SKS MK pilihan
|
6 SKS MK pilihan
|
6 SKS MK pilihan
|
|
| Semester II
(maksimum 15 SKS)
|
3 SKS MK Wajib PS: Pemodelan Matematika dan Komputasi (3 SKS) | 3 SKS MK Wajib PS: Pemodelan Matematika dan Komputasi
(3 SKS) |
3 SKS MK Wajib PS: Pemodelan Matematika dan Komputasi (3 SKS) | 3 SKS MK Wajib PS: Pemodelan Matematika dan Komputasi (3 SKS) |
| 6 SKS MK Wajib Minat
1. Analisis II (3 SKS) 2. Analisis Fungsional (3 SKS)
|
9 SKS MK Wajib Minat
1. Struktur Aljabar (3 SKS) 2. Teori Graf dan Kombinatorika (3 SKS) 3. Matriks Analisis (3 SKS) |
9 SKS MK Wajib Minat:
1. Teori Optimisasi (3 SKS) 2. Persamaan Diferensial (3 SKS) 3. Analisis Komputasi Terapan (3 SKS) |
9 SKS Wajib Minat dengan memilih 3 MK dari 5 MK sbb:
1. Proses Stokastik (3 SKS) 2. Analisis Multivariat (3 SKS) 3. Matematika Keuangan (3 SKS) 4. Machine Learning (3 SKS) 5. Komputasi Statistika Terapan I (3 SKS) |
|
| MK pilihan
(maksimum 6 SKS) |
MK pilihan
(maksimum 3 SKS) |
MK pilihan
(maksimum 3 SKS) |
MK pilihan
(maksimum 3 SKS) |
|
| Semester III
|
Alternatif A:
Tesis I (2 SKS) dan MK pilihan (6 – 12 SKS) |
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| Alternatif B:
MK pilihan (9 – 15 SKS) |
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| Semester IV | Alternatif A:
Tesis II (6SKS) dan MK pilihan (0 – 9 SKS) |
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| Alternatif B:
Tesis I (2 SKS) dan Tesis II (6 SKS) |
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Catatan:
- MK Wajib Program Studi diselenggarakan setiap semester
- Pada semester III dan IV ada dua alternatif pengambilan rencana studi: Tesis I dan Tesis II diambil pada dua semester terpisah atau diambil pada semester ke-IV
- Besar pengambilan SKS setelah semester I ditentukan oleh IP semester sebelumnya.
- Jika IP semester kurang dari 3,00 maka pengambilan MK maksimum 12 SKS.
- Jika IP semester lebih besar sama dengan 3,00 maka pengambilan MK maksimum adalah 15 SKS (untuk Program Magister Matematika Regular).
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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) |
||
| 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).
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