Subject 'Linear Algebra'

Year:   2010/2011    2011/2012    2012/2013    2013/2014    2014/2015    

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

Written tests - during the course there are several tests about elements of linear algebra and analytical geometry.
Written exam - the course ends with an written exam.

2014: AT  ET  FOR*  HE  ME  RG  RT  TE  TL  TT  

2013: AT  ET  FOR*  HE  ME  RG  RT  TE  TL  TT  

2012: AT  EI  ET  GI  LI  MI  RT  TEI  TI  

2011: AT  EI  GI  LI  MI  RT  TEI  TI  

2010: AT  EI  GI  LI  MI  RT  TEI  TI  

2009: AT  EI  GI  LI  MI  RT  TEI  TI  

* Optional subject