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Seznam rolí |
Vysvětlivky
Návod
AE4B01MA2 |
Calculus |
Rozsah výuky: | 4+2 |
Garanti: | |
Role: | P,V |
Jazyk výuky: | EN |
Vyučující: | |
Zakončení: | Z,ZK |
Zodpovědná katedra: | 13101 |
Kreditů: | 8 |
Semestr: | L |
Anotace:
This is an introductory course to calculus. In the first part we study limits, continuity and derivative of real functions of one variable. Then we define the indefinite integral, discuss basic integration methods, the definite integral and its applications. We extend the discussion to real functions of more variables, partial derivatives and multiple integrals. We conclude with the study of real numerical series.
Osnovy přednášek:
1. | | Elementary functions. Limit and continuity of functions. |
2. | | Derivative of functions, its properties and applications. |
3. | | Mean value theorem. L'Hospital's rule. |
4. | | Limit of sequences. Taylor polynomial. |
5. | | Local and global extrema and graphing functions. |
6. | | Indefinite integral, basic integration methods. |
7. | | Integration of rational and other types of functions. |
8. | | Definite integral. Newton-Leibniz formula. |
9. | | Improper integral.Applications of integrals. |
10. | | Sequences, introduction to series. |
11. | | Functions of two or more variables. Partial derivatives. |
12. | | Maximum and minimum for functions of two variables. |
13. | | Duble integrals. |
Osnovy cvičení:
1. | | Elementary functions. Limit and continuity of functions. |
2. | | Derivative of functions, its properties and applications. |
3. | | Mean value theorem. L'Hospital's rule. |
4. | | Limit of sequences. Taylor polynomial. |
5. | | Local and global extrema and graphing functions. |
6. | | Indefinite integral, basic integration methods. |
7. | | Integration of rational and other types of functions. |
8. | | Definite integral. Newton-Leibniz formula. |
9. | | Improper integral.Applications of integrals. |
10. | | Sequences, introduction to series. |
11. | | Functions of two or more variables. Partial derivatives. |
12. | | Maximum and minimum for functions of two variables. |
13. | | Duble integrals. |
Literatura:
Požadavky:
In order to obtain the certificate of attendance, students are required to actively participate in the laboratory class, hand in the assigned homework and obtain a sufficient score during lab tests. Only students who obtain attendance certificate ("zapocet") are allowed to take the exam.
Poznámka:
Rozsah výuky v kombinované formě studia: 14p+6s |
Webová stránka:
http://math.feld.cvut.cz/vivi/
Předmět je zahrnut do těchto studijních plánů:
Stránka vytvořena 20.4.2018 17:47:30, semestry: L/2018-9, Z,L/2017-8, Z/2018-9, připomínky k informační náplni zasílejte správci studijních plánů |
Návrh a realizace: I. Halaška (K336), J. Novák (K336) |