Linear algebra

1. Demonstrate fundamental skills contained in the course, such as matrix computation, solving linear systems of equations
2. Learn basic terminology introduced in this course (vector, matrix, vector space, linear operator)
3. Outline basic definitions and theorems
4. Explain, connect and interpret basic concepts and theories from the course.
5. Describe and use methods presented in the course.
6. Illustrate problem by mathematical model and apply appropriate mathematical method
7. Make conclusions by using logical reasoning (implication, contradiction, analogy)
8. Apply mathematical reasoning adequately
9. To think critically in solving problems
10. Demonstrate an ability to communicate mathematics by team work, discussion and written material

The course is divided in two cycles, 2 hours of lessons per week.

The course is divided in two cycles, 1 hour of exercises per week.

Regular homeworks.

1. Vectors. Inner and vector product.
2. Matrices. Computations with matrices.
3. Rank and inverse of a matrix.
4. Systems of linear equations. Gaussian elimination method.
5. Systems of linear equations.
6. Determinants. Cramer rule.
7. Lines and planes.
8. Examination.
9. Vector spaces.
10. Vector spaces.
11. Linear transformations.
12. Applied linear algebra.
13. Applied linear algebra.
14. Linear algebra on a computer.
15. Examination.