Syllabus for Algebra and Vector Geometry
Algebra och vektorgeometri
- 5 credits
- Course code: 1MA008
- Education cycle: First cycle
Main field(s) of study and in-depth level:
Explanation of codes
The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:
- G1N: has only upper-secondary level entry requirements
- G1F: has less than 60 credits in first-cycle course/s as entry requirements
- G1E: contains specially designed degree project for Higher Education Diploma
- G2F: has at least 60 credits in first-cycle course/s as entry requirements
- G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
- GXX: in-depth level of the course cannot be classified
- A1N: has only first-cycle course/s as entry requirements
- A1F: has second-cycle course/s as entry requirements
- A1E: contains degree project for Master of Arts/Master of Science (60 credits)
- A2E: contains degree project for Master of Arts/Master of Science (120 credits)
- AXX: in-depth level of the course cannot be classified
- Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Established: 2007-03-19
- Established by:
- Revised: 2023-02-07
- Revised by: The Faculty Board of Science and Technology
- Applies from: Autumn 2023
- Entry requirements: General entry requirements and Physics 2, Chemistry 1, Mathematics 3c/Mathematics D
- Responsible department: Department of Mathematics
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.
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.
Lectures and lessons.
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.
Applies from: Autumn 2023
Some titles may be available electronically through the University library.
For course instances given in Uppsala in Swedish
Matematik för ingenjörer
6. uppl.: Lund: Studentlitteratur, 2010
For course instances given in Visby in English
Engineering mathematics : a foundation for electronic, electrical, communications and systems engineers
Fifth edition.: Harlow, England: Pearson, 2017