Subject 'Differential and Integral Calculus'

Year:   2011/2012    2012/2013    2013/2014    2014/2015    2015/2016    

Indefinite integral:
- integration as the reverse of differentiation
- integration by substitution
- integration by part
- integrating algebraic fractions
- integrating irrational functions
Definite integral:
- integration as summation
- calculating definite integral
- definite integral in practical assignments
Differential equations:
- the concept of differential equation and its solution
- differential equations of first order

The aim of the course is to give deepen knowledge in indefinite and definite integrals, ordinary differential equations and their applications in geometry and mechanics.

Students after completing the course are able: to calculate indefinite and definite integrals, and apply the knowledge in solving different tasks in geometry and mechanics, can solve the first order differential equations.

Lectures, practical classes, independent work (solving tasks, preparation for tests and exam).

1. Stanley I. Grossmann. Calculus of One Variable, 1986.
2. Donald L. Stancl and Mildred L. Stancl. Brief Calculus For Management and the Life and Social Science, 1990.
3. Laurence D. Hoffmann and Gerald L. Bradley. Calculus For Business, Economics and the Social and Life Sciences, 1992.
4. Piskunov N. Diferentsiaal- ja integraalarvutus I. Tallinn, Valgus, 1966.
5. Kangro G. Matemaatiline analüüs I. Tallinn, Valgus, 1968.
6. Lõhmus A., Petersen I., Roos H. Kõrgema matemaatika ülesannete kogu. Tallinn, Valgus, 1982.
7. Reimers E. Matemaatilise analüüsi praktikum I. Tallinn, Valgus, 1988.
8. Pedas A. Diferentsiaalvõrrandite ülesannete kogu, Tartu, TÜ kirjastus 1992.
9. Tammeraid I. Matemaatiline analüüs I. Tallinn, TTÜ kirjastus, 2003.
10. Safiulina E. Integraalarvutus. Tallinn, TTK kirjastus, 2008.
11. Pedas, A., Vainikko, G. Harilikud diferentsiaalvõrrandid. Teooria, näited, ülesanded. Tartu, 2011.

Exam, test, group assignment, presentation.

2015: FOR*  

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

2013: AT  ET  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