TTK University of Applied Sciences
TTK University of Applied Sciences
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Curriculum subjectMathematical Analysis
| Subject |
| Subject code |
RKE088 |
| Subject name |
Mathematical Analysis |
| Credit points |
4 ECTS |
| Grading method |
Exam |
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| Curriculum subject |
| Curriculum |
2014 HE |
| Study year |
1 |
| Semester |
Spring semester |
| Subject type |
Mandatory |
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Subject loads
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| Practice |
48 |
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| General description |
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The concept of a function.
The limit of a sequence and its properties.
The limit of a function of one variable and its properties.
Continous functions, their properties.
The derivative of a function of one variable, its interpretations, properties and conditions of existence. L'Hospital's Rule.
Differential. Higher-order derivatives.
Composite functions and their derivatives.
Increasing and decreasing functions. Extrema of functions.
Concavity. Inflection point.
Asymptotes.
Applications of limits and derivatives for treating of functions.
Functions of two variables, their limits and continuity. Partial derivatives. |
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| General aim |
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| The aim is to deepen students' knowledge and practical applications of differential calculus of functions of one (real) variable and functions of several variables; to give the concept of a function of two variables and partial derivatives. |
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| Aim |
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| The student is able to find the limit and the derivative of a function and use these skills in practical assignments. |
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| Form description |
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| Lectures and solving tasks in practical classes; independent work with theoretical materials and preparing for practical classes; solving tasks and preparing for tests and exam. |
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| Literature |
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1. Kangro, G. Matemaatiline analüüs I. (1982)
2. Liiva, T. Kõrgem matemaatika. Analüütiline geomeetria. Lineaaralgebra. (2004)
3. Liiva, T. Kõrgem matemaatika II. Diferentsiaalarvutus. (2007)
4. Loone, L., Soomer, V. Matemaatilise analüüsi algkursus. (2007)
5. Lõhmus, A., Petersen, I., Roos, H. Kõrgema matemaatika ülesannete kogu. (1982)
6. Piskunov, N. Diferentsiaal- ja integraalarvutus I. (1981)
7. Puusemp, P. Kõrgema matemaatika ülesannete kogu. (1988)
8. Reimers, E. Matemaatilise analüüsi praktikum. I, II. (1988)
9. Tammeraid, I. Matemaatiline analüüs I. (2002) |
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| Evaluation methods |
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| Exam, test, group assignments, presentation, project work. |
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| Replacement Subjects |
| RKE017
Mathematical Analysis |
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| Current rounds |
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| None |
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