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Subject 'Differential and Integral Calculus'

Name in Estonian: Diferentsiaal- ja integraalarvutus

Year:   2004/2005    2005/2006    2006/2007    2007/2008    2008/2009    

Statuspassive
State codeRKE002
Study languageEstonian
ChairKeskused - reaal
Credit points 2 CP; 3 ECTS
Grading method Exam

General description

Indefinite integral. Integration as the reverse of differentiation. Integration by substitution. Integration by part. Integrating algebraic fractions. Integration using trig identities or a trig substitution. Definite integral. Integration as summation. Finding areas by integration. Volumes of solids of revolution. Differential equations.

General aim

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.

Aim

Student 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.

Form description

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

Literature

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.

Is taught in following curricula

2008: AT  EI  GI  LI  MI  RT  TEI  TI  
2007: AT  EI  GI  LI  MI  RA  TEI  TI  
2006: AT  EI  GI  LI  MI  RA  TEI  TI  
2005: AT  EI  GI  LI  MI  RA  TEI  TI  
2004: AT  EI  GI  LI  MI  RA  TEI  TI  
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