Basic Course in Mathematics
Syllabus, Bachelor's level, 1MA010
- Education cycle
- First cycle
- Main field(s) of study and in-depth level
- Mathematics G1N
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 4 March 2021
- Responsible department
- Department of Mathematics
General entry requirements and Mathematics 4/Mathematics D
On completion of the course, the student should be able to:
The mathematical language, symbols from logic and set theory. Arithmetic for rational and real numbers, inequalities, absolute value. Permutations and combinations. Sum notation. Induction. Polynomials: factorisation and division, completing squares, simple algebraic equations. The binomial theorem. Complex numbers: real and imaginary part, polar form, the complex plane, second degree equations and binomial equations. The function concept.
Elementary functions: the exponential function, logarithms (in different bases), logarithmic rules, and trigonometric functions. Trigonometric formulas. Simple exponential, logarithmic and trigonometric equations.
Coordinate systems in the plane. The distance formula. Equations for the line and the circle. Equations for the ellipse, hyperbola and parabola in standard form.
Lectures and problem solving sessions.
Written examination at the end of the course and assignments during the course.
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.
- 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 2022
- Reading list valid from Autumn 2021
- Reading list valid from Autumn 2019
- Reading list valid from Spring 2019
- Reading list valid from Spring 2017
- Reading list valid from Autumn 2013
- Reading list valid from Spring 2013
- Reading list valid from Spring 2010, version 2
- Reading list valid from Spring 2010, version 1
- Reading list valid from Autumn 2009, version 2
- Reading list valid from Autumn 2009, version 1