Introduction to Algebra

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Vectors, linear independence. Matrices, rank, Gaussian elimination method. Determinants. Matrix operations. Inverse matrix. Systems of linear equations. Vector spaces, basis, coordinates. Linear mappings. Vector algebra, dot and cross product. Analytical geometry in space. Lines and planes in three space.

Requirements:

To be specified in seminars by tutors.

Syllabus of lectures:

1. Polynomials

2. Rational functions, decomposition of rational functions

3. Vectors, linear independence

4. Matrices, rank, Gaussian elimination method

5. Determinants

6. Matrix operations

7. Inverse matrix

8. Systems of linear equations

9. Vector spaces, basis, coordinates

10. Linear mappings

11. Vector algebra, dot and cross product

12. Analytical geometry in space

13. Lines and planes in three space

Syllabus of tutorials:

1. Polynomials

2. Rational functions, decomposition of rational functions

3. Vectors, linear independence

4. Matrices, rank, Gaussian elimination method

5. Determinants

6. Matrix operations

7. Inverse matrix

8. Systems of linear equations

9. Vector spaces, basis, coordinates

10. Linear mappings

11. Vector algebra, dot and cross product

12. Analytical geometry in space

13. Lines and planes in three space

Study Objective:

Study materials:

[1] P. Pták: Introduction to Linear Algebra. ČVUT Praha, 1997.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: