DAFTAR MATA KULIAH DAN MODULE HANDBOOKS

Kurikulum 2016 Program Sarjana Matematika FMIPA UGM
Kurikulum 2016 Program Sarjana Matematika FMIPA UGM – revisi 2018

SEMESTER I

No. Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 MMM-1101

Calculus I

module handbook

3   2,5,7   Department of Mathematics
2 MFF-1011

Basic Physics I

module handbook

3   2,5   Department of Physics
3 MKK-1101

Basic Chemistry I

module handbook

3   2,5   Department of Chemistry
4 MII-1201

Programming I

module handbook

 

3   3,4,6.7   Department of Computer Science and Electronics
5 MII-1202

Programming I Laboratory

module handbook

1    3,4,6,7   Department of Computer Science and Electronics
6 MMM-1208

Introduction to Mathematical Logic

module handbook

3   2,3,5,7   Lab. of Algebra
7 UNU-100x

Religion

module handbook-Islam

module handbook-Catholicism

module handbook-Christianity

module handbook-Hinduism

module handbook-Buddhism

module handbook-Confucian

2   1

UNU-1000 Islam

UNU-1001 Catholicism

UNU-1002 Christianity

UNU-1003 Hinduism

UNU-1004 Buddhism

UNU-1005 Confucian

University
8 MMS-1404

Statistical Methods I

module handbook

3 (1)   2,4,5 with laboratory work UP-Stat
TOTAL CREDITS
21  

 

SEMESTER II

No. Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 MMM-1102

Calculus II

module handbook

3 MMM-1101* 2,5,7   Lab. of Analysis
2 MMM-1106

Analytical Geometry

module handbook

3 MMM-1101* 2,7   Lab. of Analysis
3 MMM-1202

Elementary Linear Algebra

module handbook

3   2,5   Lab. of Algebra
4 MMM-1206

Discrete Mathematics I

module handbook

2 MMM-1208* 2,3,5   Lab. of Algebra
5 MMM-1203

Introduction to Algebraic Structure I

module handbook

3 MMM-1208* 3,6,7,9   Lab. of Algebra
6 MMM-1204

Set Theory

module handbook

2 MMM-1208* 2,3,7   Lab. of Algebra
7 MMM-1001

English

module handbook

2   7,8   Department of Mathematics
8 UNU-1010

Pancasila

module handbook

2   1,8   University
TOTAL CREDITS
20  

 

SEMESTER III

No. Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 MMM-2109

Multivariable Calculus I

module handbook

2 MMM-1102*, MMM-1106* 2,3,5,6,7,9   Lab. of Analysis
2 MMM-2201

Introduction to Algebraic Structure II

module handbook

3 MMS-1203* 3,6,7,9   Lab. of Algebra
3 MMM-2301

Elementary Differential Equations

module handbook

3 MMM-1102* 2,3,5,6,8,9   Lab. of Applied Mathematics
4 MMS-2410

Introduction to Probability Models

module handbook

3 MMM-1102*  2,3,5,6,9   UP-Stat
5 MMM-2207

Discrete Mathematics II

module handbook

 2  MMM-1206* 2,3,5,6,9    Lab. of Algebra
6 MMM-2114

Transformation Geometry

module handbook

 2  MMM-1106*  2,3   Lab. of Analysis
7 MMM-2312

Linear Programming

module handbook

 3(1)  MMM-1202*  2,3,4,5,7,8  with laboratory work Lab. of Applied Mathematics and Lab. of Mathematical Computation
TOTAL CREDITS
18  

 

SEMESTER IV

No. Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 MMM-2110

Multivariable Calculus II

module handbook

2 MMM-2109* (UP-Math), MMS-2428* (UP-Stat) 2,3,5,6,7,9   Lab. of Analysis
2 MMM-2111

Advanced Calculus

module handbook

2 MMS-1102* 2,3,6,7,9   Lab. of Analysis
3 MMM-2112

Function of Complex Variable I

module handbook

2 MMM-2109* 2,3,6,9   Lab. of Analysis
4 MMS-2202

Linear Algebra

module handbook

3 MMM-1202*, MMM-2201* 3,6,9   Lab. of Algebra
5 MMM-2401

Introduction to Numerical Analysis

module handbook

3 (1) MMM-2301* 2,3,4,5,9 with laboratory work Lab. of Mathematical Computation
6 MMM-2310

Introduction to Partial Differential Equations

module handbook

3 MMM-2109*, MMM-2301* 2,3,5,6,7,9   Lab. of Applied Mathematics
TOTAL CREDITS
15  

 

SEMESTER V

No. Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 MMM-3101

Introduction to Analysis I

module handbook

3 MMM-2111* 3,6,7,9   Lab. of Analysis
2 MMM-3305

Computational Mathematics

module handbook

3 (1) MMM-2310*, MMM-2309* 3,4,5,9 with laboratory work Lab. of Mathematical Computation
3 MMM-3106

Function of Complex Variable II

module handbook

2 MMM-2112* 3,6,9   Lab. of Analysis
4 MMM-3303

Introduction to Mathematical Models

module handbook

 

3 MMM-2310** 2,3,5,6,7,9   Lab. of Applied Mathematics
5 MMM-3002

Introduction to Stochastic Processes

module handbook

3 MMS-2410* 3,5,9   Department of Mathematics
6 MMM-3001

Introduction to Philosophy of Sciences

2 >= 80 credit units 1,3,7,8   University (Faculty of Philosophy)
TOTAL CREDITS
16  

 

SEMESTER VI

No. Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 MMM-3102

Introduction to Analysis II

module handbook

3 MMM-3101* 3,6,7,9   Lab. of Analysis
2 MMM-3000 Civics 2 >= 60 credit units 1,8   University
3 UNU-4500

Comunity Development Participation

module handbook

3 >= 100 credit units 1,3,7,8   University
TOTAL CREDITS
8  

 

SEMESTER VII/VIII

No. Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 MMM-4097

Undergraduate Thesis I (Literature Study)

module handbook

3 >=120 credit units; CGPA>=2.0; without grade E; Percentage of total credits with score D less than or equal 25% 1,2,3,4,5,6,7,8,9   UP-Math
2 MMM-4098

Undergraduate Thesis II (Skripsi)

module handbook

6 MMM-4097** 1,2,3,4,5,6,7,8,9   UP-Math
TOTAL CREDITS 9  

 

ELECTIVE COURSES

Elective Courses “Mathematics Study Programme”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 V MMM-3003

Entrepreneurship

module handbook

2 >=80 credit units 8,9   UP-Math
2 VI/VII/VIII MMM-4001

Internship

module handbook

3 >=100 credit units; without grade E; precentage of total credits with score D less than or equal 25%, GPA is at least 2.5 2,4,7,8   UP-Math

 

Elective Courses “Analysis and Geometry”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 II MMM-1105

Introduction to Number Theory

module handbook

3 MMM-1208* 3,9   Lab. of Analysis
2 III MMM-2113

Geometry

module handbook

3 MMM-1106*, MMM-1208* 2,3   Lab. of Analysis
3 III MMM-2115

Geometry in n-Dimensional Euclidean Space

module handbook

3 MMM-1106* 3,6,9   Lab. of Analysis
4 IV MMM-2105

Vector Analysis

module handbook

2 MMM-2019* 2,3,6   Lab. of Analysis
5 VI MMM-3108

Introduction to Topology

module handbook

3 MMM-3102** 3,6,7,9   Lab. of Analysis
6 VI MMM-3103

Introduction to Theory of Differential Equations

module handbook

3 MMM-3102** 3,5,6,7,9   Lab. of Analysis
7 VI MMM-3105

Introduction to Theory of Measure and Lebesgue Integral

module handbook

3 MMM-3102** 3,6,7,9   Lab. of Analysis
8 VI MMM-3107

Introduction to Differential Geometry

module handbook

3 MMM-2109* 3,6,9   Lab. of Analysis
9 VII MMM-4102

Introduction to Functional Analysis

module handbook

3 MMM-3102* 3,6,7,9   Lab. of Analysis
10 VII / VIII MMM-4149

Capita Selecta in Analysis

module handbook

3 MMM-3101 3,6,7,8,9   Lab. of Analysis

 

Elective Courses “Algebra and Discrete Mathematics”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 III MMM-2210

Applied Linear Algebra Ia

module handbook

2 MMM-1202* 2,5   Lab. of Algebra
2 III MMM-2208

Finite Group Theory

module handbook

2 MMM-1103* 3,6   Lab. of Algebra
3 IV MMM-2209

Introduction to Combinatorics

module handbook

3 MMM-2207* 2,3,5   Lab. of Algebra
4 IV MMM-2206

Introduction to Graph Theory

module handbook

3 MMM-2207* 2,3,5,6,7,9   Lab. of Algebra
5 V MMM-3206

Introduction to Coding Theory

module handbook

3 MMM-2202* 2,3,5,6,7,9   Lab. of Algebra
6 VI MMM-3210

Introduction to Semigroup Theory

module handbook

3 MMM-1203* 3,6,9   Lab. of Algebra
7 VI MMM-3209

Applied Linear Algebra II

module handbook

2 MMM-2202* 5,8   Lab. of Algebra
8 VII MMM-4207

Introduction to Module Theory

module handbook

3 MMM-2202* 3,6,9   Lab. of Algebra
9 VII MMM-4206

Introduction to Cryptography

module handbook

3 MMM-2202* 2,3,4,5,6,9   Lab. of Algebra
10 VII / VIII MMM-4249

Capita Selecta in Algebra

module handbook

3 MMM-2202* 6,7,8,9   Lab. of Algebra

 

Elective Courses “Applied Mathematics”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 III MMM-2308

Introduction to Game Theory

module handbook

3   3,5,6,7,9   Lab. of Applied Mathematics
2 IV MMM-2303

Biological Mathematics

module handbook

3

MMM-2301*, MMS-2410*

2,5,6,7,9   Lab. of Applied Mathematics
3 V MMM-3310

Introduction to System Theory ♥

module handbook

3 MMM-2202*, MMM-2301* 3,5,6,7,9   Lab. of Applied Mathematics
4 V MMM-3311

Introduction to Boundary Value Problems

module handbook

3 MMM-2310* 5,6,9   Lab. of Applied Mathematics
5 VI MMM-3306

Dynamical System ♥

module handbook

3 MMM-1202*, MMM-2301* 5,6,9   Lab. of Applied Mathematics
6 VI MMM-3312

Introduction to Control Theory

module handbook

3 MMM-3310* 4,5,6,7,9   Lab. of Applied Mathematics
7 VII MMM-4303

Introduction to Ergodic Theory

module handbook

3 MMM-3306* 3,5,6,9   Lab. of Applied Mathematics
8 VII/ VIII MMM-4349A

Capita Selecta in Applied Mathematics A

module handbook

3 MMM-3303* 3,5,6,7,9   Lab. of Applied Mathematics
9 VII / VIII MMM-4349B Capita Selecta in Applied Mathematics B 3 MMM-3303* 3,5,6,7,9   Lab. of Applied Mathematics

 

Elective Courses “Mathematical Computation”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 VI MMM-4449

Capita Selecta in Computational Mathematics

module handbook

3 MMM-3305* 3,4,5,6,7,9   Lab. of Mathematical Computation
2 VII MMM-4401

Introduction to Fractal Geometry

module handbook

3

MMM-2112*

3,6   Lab. of Mathematical Computation

 

Elective Courses “Algebra and Mathematical Computation”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 V MMM-3208

Numerical Linear Algebra

module handbook

3 (1) MMM-2202* 2,3,4,6 with laboratory work Lab. of Algebra
and Lab. of Mathematical Computation

 

Elective Courses “Applied Mathematics and Mathematical Computation”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 IV MMM-2311

Operation Research

module handbook

3 (1) MMM-1302* 2,4,5,7,9 with laboratory work Lab. of Applied Mathematics and Lab. of Mathematical Computation
2 VI MMM-3309

Introduction to  Optimization Theory

module handbook

3 (1)

MMM-1302*

2,3,4,5,6,7,9 with laboratory work Lab. of Applied Mathematics and Lab. of Mathematical Computation

 

Elective Courses “Statistics”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 II MMS-1410

Explorative Data Analysis

module handbook

3 (1) MMS-1404* 2,4,5,9 with laboratory work UP-Stat
2 II MMS-1409

Statistical Methods II

module handbook

3 (1) MMS-1404* 2,3,4,5 with laboratory work UP-Stat
3 III MMS-2481

Survey Sample Methods

module handbook

2 MMS-1404* 2,5,9   UP-Stat
4 III MMS-2418 Introduction to Financial Mathematics I♦ 3 MMS-1102* 2,5,9   UP-Stat
5 III MMS-2492 Introduction to Actuarial Accounting I♦ 3   2,5,9 PAI UP-Stat
6 III MMS-2421

Applied Regression Analysis ♦

module handbook

3 (1) MMS-1409* 2,4,5,9 with laboratory work UP-Stat
7 III MMS-2420

Introduction to Statistical Mathematics I♦

module handbook

3 MMS-1102* 6,9 PAI UP-Stat
8 III MMS-2493 Introduction to Micro Economy♦ 3   2,9 PAI UP-Stat
9 IV MMS-2419 Introduction to Financial Mathematics II♦ 3 MMS-2418* 3,5,6,9 PAI UP-Stat
10 IV MMS-2497 Introduction to Macro Economy♦ 3 MMS-2493* 2,3,9 PAI UP-Stat
11 IV MMS-2483

Introduction to Statistical Mathematics II♦

module handbook

3 MMS- 2420* 3,5,9 PAI UP-Stat
12 IV MMS-2425

Statistical Quality Control

module handbook

3 (1) MMS-1404* 4,5,9 with laboratory work UP-Stat
13 IV MMS-2496 Introduction to Actuarial Accounting II♦ 3 MMS-2492* 9 PAI UP-Stat
14 V MMS-3429

Introduction to Time Series♦

module handbook

3 (1) MMS-2420* 2,4,5,9

PAI;

with laboratory work

UP-Stat
15 V MMS-3438

Introduction to Actuarial Mathematics I♦

module handbook

3 (1) MMS-2418* 4,5,9

PAI;

with laboratory work

UP-Stat
16 V MMS-3432

Introduction to Theory of Actuarial Risk I♦

module handbook

3   5,6,9 PAI UP-Stat
17 VI MMS-3434

Introduction to Theory of Actuarial Risk II♦

module handbook

3 MMS-3432* 5,6,9 PAI UP-Stat
18 VI MMS-3443

Survival Data Analysis♦

module handbook

3 (1) MMS-1409* 4,5,6,9

PAI;

with laboratory work

UP-Stat
19 VI MMS-3477

Introduction to Actuarial Mathematics II♦

module handbook

3 MMS-3438* 5,6,9 PAI UP-Stat
20 VI MMS-3488 Official Statistics 2   2,5,9   UP-Stat

 

Elective Courses “Computer Science”
No. Semester Code Course Credits Prerequisite Programme Learning Outcome / PLO Remark PIC
1 II MII-1211

Programming II

module handbook

3 MII-1201* 3,4,6,8,9  

UP-CS

 

2 II MII-1212

Programming II Laboratory

module handbook

1 MII-1202*, MII-1211* 3,4,6,8,9  

UP-CS

 

Capaian Pembelajaran / Programme Learning Outcome (PLO):

Capaian Pembelajaran Prodi S1 Matematika UGM disampaikan sebagai berikut:

PLO 1: Bertakwa kepada Tuhan Yang Maha Esa, berjiwa Pancasila dan memiliki kesadaran akan kepentingan bangsa;
PLO 2: Mampu mengidentifikasi dan menyelesaikan permasalahan terkait matematika;
PLO 3: Mampu mengembangkan cara berpikir matematis dan logis dan mampu membuat dugaan-dugaan serta penyelidikan benar tidaknya beberapa dugaan (conjecture);
PLO 4: Memiliki pengetahuan yang cukup dalam bidang teknologi informasi dan terampil menggunakannya untuk mendukung pembelajaran dan penelitian matematika;
PLO 5: Memiliki pengetahuan yang komprehensif di bidang pemodelan matematika serta mampu menyusun model matematika berbagai permasalahan, baik di matematika maupun di bidang lain seperti sains atau kehidupan sehari-hari serta mampu menentukan strategi pemecahannya;
PLO 6: Mampu mengidentifikasi pola-pola dasar dan bentuk-bentuk analogi serta mampu melakukan generalisasi dan abstraksi;
PLO 7: Mampu mengkomunikasikan bahasa matematika baik secara lisan maupun tulisan dengan tepat, jelas dan terorganisasi;
PLO 8: Memiliki tanggung-jawab, kepercayaan diri, kematangan emosional, etika dan kesadaran menjadi pembelajar sepanjang hayat;
PLO 9: Mampu mengaplikasikan pengetahuan matematis dalam karier yang terkait dengan bidang matematika atau untuk melanjutkan studi pada program pasca sarjana.

 

Info Akademik

Seminar TA I dan Ujian Akhir TA II

Pojok Mahasiswa