MAA108 – Number Theory

Module designation

Number Theory (MAA108)

Semester(s) in which the module is taught

2^nd

Person responsible for the module

Abdullah Jaelani, M.Si.

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

Workload (incl. contact hours, self-study hours)

2×170 minutes (2×50 minutes lecture and lesson, 2×60 minutes structural activities, 2×60 minutes self-study) per week for 16 weeks

Credit points

2 CP (3,2 ECTS)

Required and recommended prerequisites for joining the module

Fundamentals of Mathematics I

Module objectives/intended learning outcomes

General Competence (Knowledge):

  Capable of understanding the concept of number theory.

Specific Competence: student capable of

1.      Solving problems related to the theory of divisibility of integers.

2.      Solving problems related to prime numbers and their distribution.

3.      Solving problems related to congruence theory.

4.      Solving problems related to congruency applications.

Content

Euclid’s Algorithm, Diophantine Equations, Fundamental Theory of Arithmetic, Eratosthenes Sieve, Congruence.

Examination forms

Essay

Study and examination requirements

Students are considered to pass if they at least have got a final score 40 (D).

Final score is calculated as follows: 10% softskill+30 % assignment + 20% Quiz + 20% midterm + 20% final exam.

Final index is defined as follow:

Reading list

1. Burton, David M.2007. Elementary number theory. 2007, McGraw-Hill, New York (Sumber Utama).
2. Rosen, Kenneth H. 1984.  Elementary number theory and its applications.  ADDISON-WESLEY.