2
Curriculum Overview
Study Program : Undergraduate Study Program of Mathematics Study Duration : 8 Semesters
General Description
Mathematics is the important area supporting the development of science and technology. Bachelors of mathematics are much needed in Indonesia and are in high demand by the industrial world. The aim of this Mathematics Bachelor Program is to prepare students such that they have abilities in playing the significant role in their chosen career areas. Some career areas of the graduates coming from Mathematics Bachelor Program are working as scientists / researchers, academics, programmer, data scientist, staff in private and public institutions in the industrial fields, insurance, finance, e- commerce, and banking.
Therefore, the curriculum of Bachelor Mathematics Study Program of Brawijaya University is designed so that within 3-5 years after completing their studies, the graduates achieves the following objectives.
1. Successfully develop themselves according to their chosen profession by applying the mathematical concepts and methods in their work.
2. Active in a various activity that support career development, or are completing or have completed their graduate studies in mathematics or other relevant fields.
3. Able to work together in teams and take the leadership initiatives in the work
organizations.
3
Program Learning Outcome (PLO)
The learning outcome (LO) of Mathematics Bachelor Program are as follows. Graduates will
➢ LO1. master mathematical theoretical concepts as well as mathematical modeling
principles
➢ LO2. have the ability to think logically, critically and systematically in order to solve
simple practical problems by applying basic mathematical methods.
➢ LO3. be able to develop mathematical thinking that starts from procedural /
computational understanding to a broad understanding, including exploration, logical reasoning, generalization, abstraction, and formal evidence.
➢ LO4. be able to construct, modify, and analyze mathematical problems so that they
can evaluate the accuracy of the results and interpret them.
➢ LO5. master mathematical knowledge and skills so that they can use them to solve
simple mathematical problems with or without software.
➢ LO6. be able to apply mathematical theories and methods in the development of
mathematics itself or in other fields.
➢ LO7. be able to compose a scientific description by using scientific methods, to
show the results accurately and correctly, and to present the results clearly, both in speech and in writing.
➢ LO8. be able to work together and be responsible for solving mathematical
problem as well as its application.
Credit Content
This bachelor program has been completed when 144 CSU (Credit Semester Unit), which is equivalent to 203.04 ECTS credits, have been acquired. It consisting of 104 CSU (147.04 ECTS credits) compulsory technical units and 40 CSU (56 ECTS credits) elective technical units.
Distribution of credits for all subjects (compulsory and elective subjects):
306.6 ECTS credits for course module 20.4 ECTS credits for a practical project 2 ECTS credits for a seminar
8 ECTS credits for the bachelor thesis project
4
Table 1. Conversion factor between SCU and ECTS
Course
Type SCU
Workload (hours) Total
workload (hours)
ECTS Conversion factor Face
to face
Stucture Activities
Individual
Learning Laboratory Seminar Regular
Lectures 3 35 35 35 0 0 105 4.5 1.5
Regular Lectures (including laboratory)
4 35 35 35 34 0 139 6 1.5
Final Project
6 0 0 200 0 50 250 9 1.5
The assessment may include the individual essay writing and (or) project working which has to be presented orally and in writing, as group or individual assessment. The learning outcome measurement is conducted by giving assignment, homework, quiz, middle exam, final exam, and final project.
Table 2. Curriculum and credit of mandatory course
Semester 1Subject Course Practical Seminar Project Total
Logic and Sets+ 3 4.5
Elementary Linear Algebra+ 4 6
Calculus + 4 6
Sciences 2 3
Algorithm Programming 2 1 4.5
Introduction to Statistics 2 1 4.5
Total 17 2 28.5
Semester 2
Subject Course Practical Seminar Project Total
Discrete Mathematics 3 4.5
Algebraic Structures I+ 3 4.5
Calculus II+ 4 6
Analytic Geometry+ 3 4.5
English 2 3
Basic Programming 2 1 4.5
Total 17 1 27
5
Semester 3
Subject Course Practical Seminar Project Total
Algebraic Structures II+ 3 4.5
Calculus III+ 4 6
Introduction to Complex Function I+ 2 3
Ordinary Differential Equations+ 4 6
Introduction to Probability+ 3 4.5
Citizenship 3 4.5
Total 19 28.5
Semester 4
Subject Course Practical Seminar Project Total
Religion 3 4.5
Introduction to Complex Function II+ 2 3
Partial Differential Equations+ 3 4.5
Numerical Methods 3 1 6
Introduction to Mathematical Statistics+ 4 6
Total 15 1 24
Semester 5
Subject Course Practical Seminar Project Total
Introduction to Real Analysis I 4 6
Operation Research I+ 3 4.5
Indonesian Language 3 4.5
Pancasila 2 3
Total 12 18
Semester 6
Subject Course Practical Seminar Project Total
Introduction to Real Analysis II 2 3
Mathematical Modeling 4 6
Entrepreneurship 3 4.5
Total 9 13.5
Semester 7
Subject Course Practical Seminar Project Total
Internship/Community Service Program 3 4.5
Research Methodology and Scientific
Writing in Mathematics 2 3
Total 5 7.5
6
Semester 8
Subject Course Practical Seminar Project Total
Final Project* 2 4 9
Total 2 4 9
Table 3. Curricullum and credir of Elective course
Odd Semester
Subject Course Practical Seminar Project Total
Graph Theory 2 3
Finite Group Theory 2 3
Fuzzy Group Theory 2 3
Introduction to Chemistry 3 4.5
Introduction to Biology 3 4.5
Introduction to Physics 3 4.5
Difference Equations+ 3 4.5
Database System 2 1 4.5
Financial Mathematics I 2 3
Mathematics for Economics and Business 3 4.5
Introduction to Modul Theory 2 3
Introduction to Differential Geometry 3 4.5
Introduction to Functional Analysis 3 4.5
Numerical Optimization I 2 1 4.5
Introduction to Discrete Dynamical
System 2 3
Numerical Methods for ordinary
Differential Equations 2 1 4.5
Introduction to Wave Modeling 2 3
Variational Calculus 2 3
Introduction to Population Dynamics 2 3
Introduction to Digital Image Processing 2 1 4.5
Stochastic Processes 3 4.5
Insurance Mathematics II 2 3
Introduction to Reliability Analysis 3 4.5
Introduction to Fractal Geometry 3 4.5
Total 58 4 93
7
Even Semester
Subject Course Practical Seminar Project Total
Number Theory 2 3
Linear Algebra 2 3
Applications of Elementary Linear Algebra 2 3
Software for Mathematics 2 1 4.5
Introduction to Linear Regression 2 3
Introduction to
Experimental Design 2 3
Combinatorics 2 3
Matrix Ring 2 3
CodingTheory 2 3
Univalent Functions 2 3
Introduction to Data Mining 2 1 4.5
Special Function 2 3
Introduction to Continuous Dynamical
System 2 3
Introduction to
Computational Intelligence 2 1 4.5
Insurance Mathematics I 2 3
Introduction to Forecasting Method 2 3
Financial Mathematics II 2 3
Introduction to Topology 2 3
Measure Theory 2 3
Numerical Methods for Partial Differential
Equations 2 1 4.5
Introduction to Finite Element Methods 2 1 4.5
Introduction to Optimal Control 2 3
Numerical Optimization II 2 1 4.5
Insurance Risk Model 3 4.5
Game Theory 2 3
Operation Research II 3 4.5
Total 54 6 90
8
Odd and Even Semester
Subject Course Practical Seminar Project Total
Capita Selecta in Algebra* 2 3
Capita Selecta in Analysis* 2 3
Capita Selecta in Applied Analysis* 2 3
Capita Selecta in Scientific Computing* 2 3
Capita Selecta in Computer Vision* 2 3
Capita Selecta in Operations Research* 2 3
Capita Selecta in Probability and
Stochastic Processes* 2 3
Total 14 21
9
Table 4. PLO vs Course Matrics
No Subject PLO
1 2 3 4 5 6 7 8
Compulsory Course
1 Logic and Sets+ V V V V
2 Elementary Linear Algebra+ V V V V
3 Calculus I+ V V V V V
4 Sciences
5 Algorithm Programming V V V V
6 Introduction to Statistics V V V V V
7 Discrete Mathematics V V V V V
8 Algebraic Structures I+ V V V
9 Calculus II+ V V V V V V
10 Geometry Analytic+ V V V V
11 English
12 Basic Programming V V V V V
13 Algebraic Structures II+ V V V
14 Calculus III+ V V V V V
15 Introduction to Complex Function I+ V V V V 16 Ordinary Differential Equations+ V V V V V
17 Introduction to Probability+ V V V V
18 Citizenship
19 Religion
20 Introduction to Complex Function II+ V V V 21 Partial Differential Equations+ V V V V V V
22 Numerical Mathematics V V V V V
23 Mathematical Statistics+ V V V
24 Introduction to Real Analysis I V V V V
25 Operation Research I+ V V V
26 Indonesian
27 Pancasila
28 Introduction to Real Analysis II V V
29 Mathematical Modeling V V V V V V V V
30 Entrepreneurship
31 Research Methodology and Scientific
Writing in Mathematics
32 Internship/ Community Service
33 Final Project*
34 Graph Theory V V V V
35 Finite Group Theory V V V V
36 Fuzzy Group Theory V V V
37 Introduction to Chemistry
38 Introduction to Biology
39 Introduction to Physics
40 Difference Equations+ V V V V V V
41 Database System V V V V V V V V
42 Financial Mathematics I V V V V V
43 Mathematics for Economics and Business V V V V V
44 Introduction to Module Theory V V V
45 Introduction to Differential Geometry V V V V
10
No Subject PLO
1 2 3 4 5 6 7 8
46 Introduction to Functional Analysis V V V V
47 Numerical Optimization I V V V V V V
48 Introduction to Discrete Dynamical System V V V V V V V V 49 Numerical Methods for Ordinary
Differential Equations V V V V V V V V
50 Introduction to Wave Modeling V V V V V V V V
51 Variational Calculus V V V V V V V V
52 Introduction to Population Dynamics V V V V V V V V 53 Introduction to Digital Image Processing V V V V V V V
54 Stochastic Processes V V V V V
55 Insurance Mathematics II V V V V
56 Introduction to Reliability Analysis V V V V 57 Introduction to Fractal Geometry V V V V V
58 Number Theory V V V V V V
59 Linear Algebra V V V V
60 Applications of Elementary Linear Algebra V V V V V V V
61 Software for Mathematics V V V V V V
62 Introduction to Linear Regression V V V V V 63 Introduction to Experimental Design V V V V V
64 Combinatorics V V V V
65 Matrix Ring V V V
66 Coding Theory V V V V V V V
67 Univalent Functions V V V
68 Introduction to Data Mining V V V V V V V
69 Special Function V V V V V
70 Introduction to Continuous Dynamical
System V V V V V V
71 Introduction to Computational Intelligence V V V V V V V
72 Insurance Mathematics I V V V V V
73 Introduction to Forecasting Method V V V V V
74 Financial Mathematics II V V V V V
75 Introduction to Topology V V V V
76 Measure Theory V V V V V
77 Numerical Methods for Partial Differential
Equations V V V V V V V V
78 Introduction to Finite Element Methods V V V V V 79 Introduction to Optimal Control V V V V V V V V
80 Numerical Optimization II V V V V V V V V
81 Insurance Risk Model V V V V V
82 Game Theory V V V
83 Operation Research II+ V V V V
84 Capita Selecta in Algebra* V V V V V V
85 Capita Selecta in Analysis* V V V V V
86 Capita Selecta in Applied Analysis* V V V 87 Capita Selecta in Scientific Computing* V V V V V V 88 Capita Selecta in Computer Vision* V V V V 89 Capita Selecta in Operations Research* V V V V V V V 90 Capita Selecta in Probability and
Stochastic Processes* V V V V V V V
