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Curriculum subjectDifferential and Integral Calculus
| Subject |
| Subject code |
RKE089 |
| Subject name |
Differential and Integral Calculus |
| Credit points |
4 ECTS |
| Grading method |
Exam |
|
| Curriculum subject |
| Curriculum |
2013 AT |
| Study year |
2 |
| Semester |
Spring semester |
| Subject type |
Mandatory |
|
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Subject loads
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| Practice |
48 |
|
| General description |
|---|
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 |
|
| 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. |
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| Aim |
|---|
| 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. |
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| Form description |
|---|
| Lectures, practical classes, independent work (solving tasks, preparation for tests and exam). |
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| 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.
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. |
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| Evaluation methods |
|---|
| Exam, test, group assignment, presentation. |
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| Replacement Subjects |
| RKE002
Differential and Integral Calculus |
| RKE105
Applied Mathematics |
|
| Current rounds |
|---|
| None |
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