Mathematics I 1100-1AF11
List of topic (not a plan of the lecture)
Elements of logic
Sets and their description
Functions
Natural numbers
-mathematical induction
-binomial coefficient
Integers, Rational numbers
Real numbers
Elementary functions
-polynomials
-rational functions
-trigonometric functions
-hyperbolic functions
-injection, surjection, bijection
-polar coordinates
-inverse function
-logarithm
-cyclometric functions
Sequences
-sequence properties
-limit of a sequence
-indeterminate forms
Limit of a function
Continuous functions
Derivative
Mean value theorems
Taylor's theorem
Taylor series
L'Hôpital's rule
Antiderivative
-antidifferentiation by parts
-antidifferentiation by substitution
-antidifferentiation of rational functions
Riemann integral
Series
-convergence
Power series
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Term 2023Z:
None |
Main fields of studies for MISMaP
Type of course
Mode
Prerequisites (description)
Course coordinators
Bibliography
Textbooks:
1. F. Leja, Rachunek różniczkowy i całkowy.
2. K. Kuratowski, Rachunek różniczkowy i całkowy.
3. W. Rudin, Podstawy analizy matematycznej.
4. G.M. Fichtenholz, Rachunek różniczkowy i całkowy.
5. Strona www wykładu: http://www.fuw.edu.pl/materialy-dydaktyczne.html w zakładce Matematyka I
6. Materiały http://brain.fuw.edu.pl/edu/Strona_główna
1. W.Leksiński, B. Macukow, Matematyka w zadaniach dla kandydatów na wyzsze uczelnie, t 1 i 2.
2. W. Krysicki, L. Włodarski, Analiza Matematyczna w zadaniach
3. Wiesław Pusz, Zbiór zadań z analizy matematycznej
4. Aleksiej I. Kostrikin, Zbiór zadań z algebry
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Term 2023Z:
None |
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
- Astronomy, first cycle programme
- Applications of Physics in Biology and Medicine, first cycle programme
- Physics, full-time, first cycle programme
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: