TMA4140 - Discrete Mathematics


Examination arrangement

Examination arrangement: Portfolio assessment
Grade: Letters

Evaluation Weighting Duration Grade deviation Examination aids
Semesterprøve 20/100
Skriftlig eksamen 80/100 4 timer

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, compulsory exercises, mid-semester examination. Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (80%) and the semester assignment (20%). The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (the course grade) is given by the letter grading system. The mid-semester examination only counts if it has a positive effect on the total assessment. Retake of examination may be given as an oral examination.

Compulsory assignments

  • Exercises

Specific conditions

Compulsory activities from previous semester may be approved by the department.

Course materials

Will be announced at the start of the semester.

Credit reductions

Course code Reduction From To
MA0301 7.5
MA0301 3.7
MA0302 7.5
MA0302 3.7
SIF5015 7.5
More on the course

Version: 1
Credits:  7.5 SP
Study level: Foundation courses, level I


Term no.: 1
Teaching semester:  AUTUMN 2016

Language of instruction: -


Subject area(s)
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences


Examination arrangement: Portfolio assessment

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD Skriftlig eksamen 80/100 2016-12-15 09:00
Room Building Number of candidates
Autumn ORD Semesterprøve 20/100
Room Building Number of candidates
Summer KONT Skriftlig eksamen 80/100 2017-08-14 09:00
Room Building Number of candidates
Summer KONT Semesterprøve 20/100
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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