In general, the curriculum of Undergraduate Program in Mathematics (UPM) has two programmes

sequentially: Common First Year Program, and Post Common First Year Program (Sarjana Program). The

description can be seen in followed figure.

At least 144 credits are required to complete the UPM. The curriculum was designed to have 4

orientation stages: Common First Year Stage, Object-oriented Stage, Property-oriented Stage, and

Maturation Stage. Each of them is explained in detail in Section 3. Compulsory and elective courses

offered by UPM are :

**Elective courses**

It is our belief that one pursues the study of mathematics with objectives: as a science and as a tool for other fields. Mathematics is an intrinsic component of science, part of its fabric, its universal language and indispensable source of intellectual tools. Reciprocally, science inspires and stimulates mathematics, posing new questions, engendering new ways of thinking, and ultimately conditioning the value system of mathematics. Therefore, we encourage our students to take between 6 and 12 credits from courses offered by other study programmes. Thus, our students are able to mingle or interacts with nonmathematics students and familiar themselves with subjects other than mathematics.

We acknowledge the wide range in interests and needs by incorporating flexibility in the curriculum. The UPM offers plenty elective courses. After completing Common First Year Program (TPB), students have to complete at least 108 credits consisting of 8 credits from ITB compulsory courses and 100 credits from mathematics and mathematics-related courses. Almost half out of these 100 credits are from elective courses. There are two kinds of elective courses, Semi-restricted Electives (30 credits) and Restricted Electives (16 credits). One benefits of such flexibility is that students can design their study by selecting elective courses that meet their interests, talents, and needs.

** Restricted Elective Courses.** UPM students are required to take at least 16 credit points from Restricted Elective Courses. First, each student has to take at least one course (4 credits each) from each of the following three groups of courses:

A. (Algebra) MA3021 Algebraic Structures or MA3022 Linear Algebra,

B. (Geometry) MA3041 Introduction to Differential Geometry or MA3042 Geometry

C. (Probability and Statistics) MA3281 Mathematical Statistics or MA4181 Introduction to Stochastic Processes.

Then, students have to choose at least one more course (worth 4 credits) from the following group of courses:

MA3051 Introduction to Graph Theory, MA3071 Introduction to Optimization, MA3072 Partial Differential Equations, MA4031 Real Functions, MA4051 Combinatorial Optimization, MA3021 Algebraic Structures, MA3022 Linear Algebra, MA3041 Introduction to Differential Geometry, MA3042 Geometry, MA3281 Mathematical Statistics, MA4181 Introduction to Stochastic Processes.

** Semi-restricted Elective Courses.** Students must pass at least 18 credit points from courses offered by the UPM (minimum 8 credits from fourth year courses), and at least 6 credit points from other study programs (minimum 4 credits from third or fourth year courses). For UPM students participating in minor program, they must pass 12-18 credits offered by the selected study program.

List of compulsory courses for each semester is presented in followed table.

** **

No | Code | Course Name | CP |

Semester I |
|||

1 | MA1101 | Mathematics IA | 4 |

2 | FI1101 | Elementary Physics IA | 4(1) |

3 | KI1101 | General Chemistry IA | 3(1) |

4 | KU1011 | Indonesian Language: Scientific Writing | 2 |

5 | KU1160 | Introduction to Mathematics and Natural Sciences | 2 |

6 | KU1101 | Introduction to Engineering and Design I | 2 |

Total |
17 |
||

Semester II |
|||

1 | MA1201 | Mathematics IIA | 4 |

2 | FI1201 | Elementary Physics IIA | 4(1) |

3 | KI1201 | General Chemistry IIA | 3(1) |

4 | KU1072 | Introduction to Information Technology B | 2 |

5 | KU1201 | Introduction to Engineering and Design II | 2 |

6 | KU102X | English (KU1021/1022/1023) | 2 |

7 | KU1001 | Sports | 2 |

Total |
19 |
||

Semester III |
|||

1 | MA2121 | Elementary Linear Algebra | 4 |

2 | MA2151 | Simulation and Computational Mathematics | 4 |

3 | MA2181 | Data Analysis | 4 |

Elective courses/ ITB Compulsory courses | 6 | ||

Total |
18 |
||

Semester IV |
|||

1 | MA2231 | Multivariable Calculus | 4 |

2 | MA2271 | Introduction to Differential Equation | 4 |

3 | MA2251 | Discrete Mathematics | 4 |

Elective courses/ ITB Compulsory courses | 6 | ||

Total |
18 |
||

Semester V |
|||

1 | MA3131 | Introduction to Complex Analysis | 4 |

2 | MA3171 | Numerical Mathematics | 4 |

3 | MA3181 | Probability Theory | 4 |

Elective courses/ ITB Compulsory courses | 6 | ||

Total |
18 |
||

Semester VI |
|||

1 | MA3231 | Introduction to Real Analysis | 4 |

2 | MA3011 | Career in Mathematics | 2 |

3 | MA3271 | Mathematical Modeling | 4 |

Elective courses/ ITB Compulsory courses | 6 | ||

Total |
18 |
||

Semester VII |
|||

1 | MA4093 | Final Project I | 3 |

2 | MA4091 | Mathematics Seminar I | 1 |

Elective courses | 14 | ||

Total |
18 |
||

Semester VIII |
|||

1 | MA4094 | Final Project II | 3 |

2 | MA4092 | Mathematics Seminar II | 1 |

Elective courses | 14 | ||

Total |
18 |

**List of Second Year Elective Courses**

No | Code | Course Name | CP |

1 | MA2011 | Perspective in Mathematics | 2 |

2 | MA2111 | Introduction to Mathematical Reasoning | 3 |

3 | MA2022 | Structure of Integers | 2 |

4 | MA2252 | Introduction to Number Theory | 4 |

5 | MA2281 | Non-Parametric Statistics | 2 |

**List of Third Year Elective Courses**

No | Code | Course Name | CP |

1 | MA3012 | Mathematics Learning Theory | 2 |

2 | MA3013 | History of Mathematics | 2 |

3 | MA3021 | Algebraic Structures | 4 |

4 | MA3022 | Linear Algebra | 4 |

5 | MA3041 | Introduction to Differential Geometry | 4 |

6 | MA3042 | Geometry | 4 |

7 | MA3051 | Introduction to Graph Theory | 4 |

8 | MA3071 | Introduction to Optimization | 4 |

9 | MA3073 | Partial Differential Equations | 4 |

10 | MA3161 | Introduction to Theory of Interest | 3 |

11 | MA3182 | Analysis of Variance and Regression | 2 |

12 | MA3261 | Introduction of Financial Mathematics | 4 |

13 | MA3272 | Optimization Methods | 4 |

14 | MA3281 | Mathematical Statistics | 4 |

15 | MA3283 | Generalized Linear Models | 3 |

**List of Fourth Year Elective Courses**

No | Code | Course Name | CP |

1 | MA4095 | Internship | 2 |

2 | MA4031 | Real Function | 4 |

3 | MA4051 | Combinatorial Optimization | 4 |

4 | MA4151 | Cryptography | 4 |

5 | MA4171 | Linear Control Theory | 4 |

6 | MA4181 | Introduction to Stochastic Processes | 4 |

7 | MA4183 | Risk Model | 3 |

8 | MA4251 | Coding Theory | 4 |

9 | MA4281 | Multivariate Analysis | 4 |

**List of Capita Selecta Courses**

No | Code | Course Name | CP |

1 | MA4041 | Capita Selecta in Geometry | 4 |

2 | MA4121 | Capita Selecta in Algebra I | 4 |

3 | MA4172 | Capita Selecta in Industrial and Financial Mathematics I | 4 |

4 | MA4151 | Capita Selecta in Discrete Mathematics I | 4 |

5 | MA4182 | Capita Selecta in Statistics I | 4 |

6 | MA4032 | Capita Selecta in Analysis | 4 |

7 | MA4221 | Capita Selecta in Algebra II | 4 |

8 | MA4272 | Capita Selecta in Industrial and Financial Mathematics II | 4 |

9 | MA4252 | Capita Selecta in Discrete Mathematics II | 4 |

10 | MA4282 | Capita Selecta in Statistics II | 4 |