Linear algebra with applications

Lecturer:

Jarmila Novotná (gar.), Antonín Novotný

Tutor:

Jarmila Novotná (gar.)

Supervisor:

Department of Mathematics

Synopsis:

The course deals with basic domains of linear algebra and their applications in economy and other disciplines. The language of instruction is English.

Requirements:

English: competence A2 (Common European Framework of Reference for Languages)

Syllabus of lectures:

Language of mathematics. Proofs. Systems of linear equations (methods of solving, applications). Matrices (matrix operations, matrix algebra, rank, introduction to linear transformations). Vectors (vectors in geometry, algebra of vectors, length and angle, lines and planes), vector spaces (vector spaces and subspaces, linear dependence and independence, basis, dimension).

Syllabus of tutorials:

Study Objective:

Knowledge: basic knowledge of linear algebra and its applications. The course is run in English, students? functional bilingualism is developed. Skills: Application of basic knowledge from linear algebra. Communication about a non-language subject in English.

Study materials:

Key references:

[1] W.K. Nicholson: Linear Algebra with Applications. Boston: PWS Publishing Company, 1993.

[2] D. Poole: Linear Algebra. A Modern Introduction. Brooks/Cole, Thomson Learning 2003.

Recommended references:

[3] P.M. Cohn: Classic Algebra. Wiley, 1991.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: