Algebra and Geometry
Syllabus, Bachelor's level, 1MA090
- Code
- 1MA090
- 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, 6 May 2013
- Responsible department
- Department of Mathematics
Entry requirements
General entry requirements and Physics 2, Mathematics 4 or Physics B, Mathematics E
Content
Arithmetics for rational and real numbers, inequalities, absolute value. Permutations and combinations. Induction. Polynomials: factorising and polynomial division, completing squares, elementary algebraic equations. The binomial theorem. Complex numbers: basic and polar form, the complex plane, second degree equations and binomial equations.
Elementary functions: the exponential function, the logarithm (in different bases) and trigonometric functions. Trigonometric formulas. Simple exponential, logarithmic and trigonometric equations.
Coordinate systems in the plane. The distance formula. Equations for lines and circles. The normal equation of ellipses, hyperbolas and parabolas.
Systems of linear equation systems: Gauss elimination, rank, solvability. Matrix algebra. Determinants. Vector algebra. Scalar products. Equations for lines and planes in space. Distance, area and volume.
Instruction
Lectures, lessons and problem solving sessions.
Assessment
Written examination at the end of the course combined with written assignments during the course according to instructions provided at course start.
Other directives
The course may not be included in exam with the courses Algebra and Vector Geometry, the Basic Course in Mathematics and Linear Algebra and Geometry.