Syllabus, Bachelor's level, 1MA004
- Education cycle
- First cycle
- Main field(s) of study and in-depth level
- Mathematics G1F
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 24 April 2013
- Responsible department
- Department of Mathematics
Basic Course in Mathematics.
In order to pass the course (grade 3) the student should be able to
- give an account of important concepts and definitions in the area of the course;
- exemplify and interpret important concepts in specific cases;
- formulate important results and theorems covered by the course;
- describe the main features of the proofs of important theorems;
- express problems from relevant areas of applications in a mathematical form suitable for further analysis;
- use the theory, methods and techniques of the course to solve mathematical problems;
- present mathematical arguments to others.
Elementary logic and set theory. Functions and relations. Equivalence relations. Natural numbers and integers: induction, divisibility, primes, Euclid's algorithm, congruences, representation of numbers in different bases. Diophantine equations. Rational and irrational numbers. Denumerability. Polynomials over R and C: factorisation, Euclid's algorithm, multiple roots, rational roots of polynomials with integer coefficients.
Lectures and problem solving sessions.
Written examination at the end of the course. Moreover, compulsory assignments during the course.
- Reading list valid from Autumn 2023, version 2
- Reading list valid from Autumn 2023, version 1
- Reading list valid from Autumn 2022
- Reading list valid from Spring 2020
- Reading list valid from Spring 2019
- Reading list valid from Spring 2013
- Reading list valid from Spring 2009, version 2
- Reading list valid from Spring 2009, version 1
- Reading list valid from Autumn 2007