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Curriculum subjectLinear Algebra
| Subject |
| Subject code |
RKE087 |
| Subject name |
Linear Algebra |
| Credit points |
4 ECTS |
| Grading method |
Exam |
|
| Curriculum subject |
| Curriculum |
2012 AT |
| Study year |
1 |
| Semester |
Spring semester |
| Subject type |
Mandatory |
|
|
Subject loads
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| Practice |
48 |
|
| General description |
|---|
| 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. |
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| General aim |
|---|
| To give thorough knowledge about elements of linear algebra and to develop practical skills in this field. |
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| Aim |
|---|
| 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. |
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| Form description |
|---|
| Lectures and practical assignments in the classroom. Individual work - studying the given notes, solving exercises, preparing for tests and exam. |
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| Literature |
|---|
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 |
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| Evaluation methods |
|---|
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. |
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| Replacement Subjects |
| RKE015
Linear Algebra |
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| Current rounds |
|---|
| None |
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