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, 19 March 2007
- Responsible department
- Department of Mathematics
In order to pass the course (grade 3) the student should be able to
Higher grades, 4 or 5, require a higher level of proficiency. The student should be able to solve problems of greater complexity, i.e. problems requiring a combination of ideas and methods for their solution, and be able to give a more detailed account of the proofs of important theorems and by examples and counter-examples be able to motivate the scope of various results. Requirements concerning the student's ability to present mathematical arguments and reasoning are greater.
Arithmetic for rational and real numbers, inequalities, absolute value. Permutations and combinations. 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.
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. Moreover, compulsory assignments may be given 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 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