Subject 'Applied Mathematics'

Year:   2009/2010    2010/2011    2011/2012    2012/2013    2013/2014    

Concept of a determinant. Properties of determinants, calculating the value. Concept of a matrix. Matrix operations. The inverse of a square matrix. Matrix equations. Concept of a determinant. Properties of determinants, calculating the value. Linear systems of equations. 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. The derivative of a function. Implicit differentiation. Logarithmic derivative. Increasing and decreasing functions. Extrema of functions. The indefinite integral. Integration by substition; integration by parts; the use of integral tables. The definite integral. Area and integration. The definite integral as the limit of a sum. Volumes of solids of revolution.

The aim is to deepen students' knowledge about elements of higher mathematics and to develop practical skills in that field.

A student after completing the course is able to calculate the value of a determinant; is able to operate with matrixes, solve matrix equations; is able to solve linear systems of equations; knows conic sections, is able to compose their equations and draw them; is able to find the derivative of a function; is able to find integral; integration by Substitution, by part; is able to find the area of figures, to find the volume of solid of revolution.

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

1.Zaitsev, L. (1973) Kõrgem matemaatika. Õpik tehnikumidele. 3 tr., Tallinn:Valgus
2. Käerdi, H. (2005) Lineaaralgebra elemendid. 2. tr., Tallinn, Sisekaitseakadeemia
3. Liiva, T. (2004) Kõrgem matemaatika I, Tallinn: Tallinna Tehnikakõrgkool.
4. Liiva, T. (2007) Kõrgem matemaatika II. Tallinn: Tallinna Tehnikakõrgkool.
5. Loone, L., Soomer, V. (2007)Matemaatilise analüüsi algkursus. Tallinn
6. Paal, E. (2004) Lineaaralgebra. TTÜ kirjastus.
7. Piskunov, N. (1981). Diferentsiaal- ja integraalarvutus
8. Puusemp, P. (2000) Lineaaralgebra. Avita.
9. Puusemp, P. (1988) Kõrgema matemaatika ülesannete kogu I. Tallinn.

2014: KT  RA  

2013: KT  RA  

2012: KT  RA  

2011: KT  RA  

2010: KT  RA  

2009: KT  RA