Subject 'Linear Algebra'

Year:   2003/2004    2004/2005    2005/2006    2006/2007    2007/2008    

Concept of a determinant. Properties of determinants, calculating the value. Concept of a matrix. Matrix operations. The inverse of a square matrix. Matrix equations. Linear systems of equations. Cramer's rule. Gauss-Jordan elimination. Geometric and algebraic definition of a vector. Vector operations. Scalar quantities of a vector. The cross product of two vectors. Scalar triple product. Equation of a line. Equation of a plane. Conic sections. Circle, ellipse, hyperbola, parabola.

To give thorough knowledge about elements of linear algebra and to develop practical skills in this field.

A student after completing the course is able to calculate the value of a determinant; is able to operate with matrices, solve matrix equations; is able to solve linear systems of equations; understands the concept of a vector and uses it in various exercises; is able to compose an equation of a line and a plane; knows conic sections, is able to compose their equations and draw them.

Lectures and practical assignments in the classroom. Individual work - studying the given notes, solving exercises, preparing for tests and exam.

1. Liiva, T. (2004) Kõrgem matemaatika. Analüütiline geomeetria. Lineaaralgebra. Tallinn: Tallinna Tehnikakõrgkool
2. Puusemp, P. (2000) Lineaaralgebra. Avita
3. Käerdi, H. (2005) Lineaaralgebra elemendid. 2. tr., Tallinn, Sisekaitseakadeemia
4. Zaitsev, L. (1973) Kõrgem matemaatika. Õpik tehnikumidele. 3. tr., Tallinn: Valgus
5. Paal, E. (2004) Lineaaralgebra. TTÜ Kirjastus
6. Kolde, R. (1991) Koonuselõiked. Tallinn: Valgus
7. Tiidt, U. (1999) Kõrgem matemaatika. Analüütilise geomeetria ja lineaaralgebra elemendid. Tartu, EPMÜ Matemaatika Instituut
8. Kaarli, K. (1986) Algebra praktikum. Lineaarvõrrandisüsteemid. Tartu
9. Puusemp, P. (1988) Kõrgema matemaatika ülesannete kogu I. Tallinn
10. Lõhmus, A., Petersen, I., Roos, H. (1982) Kõrgema matemaatika ülesannete kogu. Tallinn: Valgus
11. Tuulmets, L. (1978, 1985, 1980) Analüütilise geomeetria praktikum I, II, III. Tartu, TRÜ

2008: AT  EI  GI  LI  MI  RR  RT  TD  TEI  TI  

2007: AT  EI  GI  LI  MI  RA  RR  TD  TEI  TI  

2006: AT  EI  GI  LI  MI  RA  TEI  TI  

2005: AT  EA  EI  GI  LI  MI  RA  TEI  TI  TÖ  

2004: AT  EA  EI  GI  LI  MI  RA  TEI  TI  TÖ  

2003: EA