Algebra and Vector Geometry
Syllabus, Bachelor's level, 1MA008
- Code
- 1MA008
- 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, 7 February 2023
- Responsible department
- Department of Mathematics
Entry requirements
General entry requirements and Physics 2, Chemistry 1, Mathematics 3c/Mathematics D
Learning outcomes
On completion of the course, the student should be able to:
- solve trigonometric equations;
- count with complex numbers;
- define and count with the elementary functions;
- use vectors and vector calculations;
- solve systems of linear equations and count with matrices;
- calculate inverses of matrices;
- calculate determinants;
- calculate eigenvalues and eigenvectors.
Content
Elementary functions: polynomials, rational functions, power, exponential, logarithmic, and trigonometric functions and equations. Rules for powers and logarithms, trigonometric formulas.
Complex numbers, real and imaginary part, polar form, geometric interpretation.
Vectors in the plane and in the space, vector algebra, scalar product and vector product. Lines and planes. Distance computations in space and time.
Systems of linear equation: Gaussian elimination, the coefficient matrix and the total matrix.
Matrices: matrix algebra, the inverse. Determinants of order two and three. Eigenvalues and eigenvectors.
Instruction
Lectures and lessons.
Assessment
Written examination at the end of the course (4 credits). Written examination (1 credit).
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.