Course - Discrete Mathematics - TMA4140
Discrete Mathematics
About
About the course
Course content
The course gives an introduction to mathematical logic and set theory, and elementary number theory with modular arithmetic. Other central topics are: Sequences, recurrence relations, mathematical induction and combinatorial counting methods with applications. Moreover, the course gives an introduction to the theory of relations, graphs and trees, as well as formal languages, grammars and finite automata.
Learning outcome
1. Knowledge. The student has a basic knowledge of mathematical logic, set theory and combinatorial counting methods. The student is familiar with elementary number theory, including the chinese remainder theorem and Fermat's little theorem. The student has knowledge of recursion an induction, as well as relations, graphs and trees. The student also has basic knowledge of formal languages, grammars and finite automata. 2. Skills. The student is able to make practical use of elementary logic and set theory, can apply Euclid's algorithm, and is proficient in modular arithmetic. The student can solve systems of linear congruences using the chinese remainder theorem, can write simple proofs using induction, and is able to recognize, understand and apply concepts such as relations, graphs and trees in applications, for example in information technology. Moreover, the student is able to apply combinatorial counting methods to solve practical problems, and can make practical use of finite automata.
Learning methods and activities
Lectures and compulsory exercises.
Compulsory assignments
- Exercises
Further on evaluation
Grade based on written final written examination. Retake of examination may be given as an oral examination.
Recommended previous knowledge
None.
Course materials
Will be announced at the start of the semester.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| SIF5015 | 7.5 sp | |
| MA0302 | 3.7 sp | Autumn 2007 |
| MA0301 | 3.7 sp | Autumn 2007 |
Subject areas
- Technological subjects
Contact information
Course coordinator
Lecturers
Department with academic responsibility
Examination
Examination
Ordinary examination - Autumn 2023
School exam
The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.