Subject 'Applied Mathematics'

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. 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.

To give thorough knowledge about elements of linear algebra and to develop practical skills in that field. The aim is to deepen students' knowledge and practical applications of differential calculus of functions. To give thorough knowledge about elements of integration 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.

2008: EA  RR*  TD*  TÖ  

2007: EA  RR*  TD*  TÖ  

2006: EA  TÖ  

* Optional subject