Mathematical analysis III WM-FI-AM
1. Limits of functions of many variables
2. Directional and partial derivatives. Gradient, rotation, divergation
3. Directional and partial derivatives. Gradient, rotation, ivergation
4. Line integral.
5. Double integral.
6. Triple integral.
7. Change of variables in multiple integrals.
8. Green's theorem.
9. Gauss's-Ostrogradsky's theorem.
10. Ordinary differential equations. Examples.
11. Initial value problem.
12. Ordinary differential equation of second order.
13. Linear independence of solutions. Wronskian.
14. Contraction mappings and Banach fixed-point theorem.
15. theorem on existence and uniqueness of solutions.
(in Polish) E-Learning
Term 2020/21_L: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2023/24_Z: (in Polish) E-Learning | Term 2022/23_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2021/22_L: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2024/25_Z: (in Polish) E-Learning | Term 2019/20_L: (in Polish) E-Learning (pełny kurs) z podziałem na grupy |
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Bibliography
Fichtenholz G.M. Rachunek różniczkowy i całkowy T. 1, 2, 3, Warszawa, wiele wydań
Byron F.W., Fuller R.W. Matematyka w fizyce klasycznej i kwantowej T. 1 i 2, Warszawa, wiele wydań
Rudin W., Podstawy analizy matematycznej, Warszawa, PWN wiele wyd
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