Algebra I
5 credits
Syllabus, Bachelor's level, 1MA004
A revised version of the syllabus is available.
- Code
- 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, 19 March 2007
- Responsible department
- Department of Mathematics
Entry requirements
Basic Course in Mathematics
Learning outcomes
In order to pass the course (grade 3) the student should be able to
Content
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.
Instruction
Lectures and problem solving sessions.
Assessment
Written examination at the end of the course. Moreover, compulsory assignments may be given during the course.
Reading list
- 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