Calculus 1
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
01MAN | Z | 4 | 4+4 | Czech |
- Garant předmětu:
- Severin Pošta
- Lecturer:
- Miroslav Kolář, Edita Pelantová, Severin Pošta
- Tutor:
- Monika Balázsová, Antonie Brožová, Petr Gális, Lukáš Heriban, Miroslav Kolář, Jakub Kořenek, Filip Moučka, Edita Pelantová, Severin Pošta, Radovan Zeman
- Supervisor:
- Department of Mathematics
- Synopsis:
-
Basic calculus (real analysis, functions of one real variable, differential calculus).
- Requirements:
-
No prerequisities.
- Syllabus of lectures:
-
1. Basics of mathematical logic, equations and inequalities, goniometric functions, exponential and logarithmic functions, sums and products, induction.
2. Sets and mappings.
3. Real and complex sequence - limit, basic properties, limits of special sequences, number „e“ and exponential function, some elementary functions.
4. Limit and continuity of functions of one real variable - basic properties.
5. Derivative of functions - basic properties.
6. Basic theorems of differential calculus. 7. Constructing graphs of functions.
- Syllabus of tutorials:
-
1. Basic properties of functions and mappings.
2. Supremum, Infimum.
3. Limits of sequences.
4. Acculumation points.
5. Limits of real functions.
6. Continuity.
7. Derivative, graphs of real functions.
- Study Objective:
-
The goal of this course is to manage basic techniques of computing limits of sequences, limits of real functions of one real variable and of differential calculus.
- Study materials:
-
Recommended references:
[1] Apostol: Mathematical Analysis, Addison Wesley, 1974.
[2] W. Rudin: Principles of Mathematical Analysis. McGraw-Hill, Mexico, 1980.
- Note:
- Time-table for winter semester 2022/2023:
- Time-table is not available yet
- Time-table for summer semester 2022/2023:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- BS Matematické inženýrství - Matematické modelování (compulsory course of the specialization)
- BS Matematické inženýrství - Matematická fyzika (compulsory course of the specialization)
- BS Matematické inženýrství - Aplikované matematicko-stochastické metody (compulsory elective course)
- BS Matematická informatika (compulsory course of the specialization)
- BS Informatická fyzika (compulsory elective course)
- BS Aplikace softwarového inženýrství (compulsory course of the specialization)
- BS jaderné inženýrství B (compulsory course of the specialization)
- BS Dozimetrie a aplikace ionizujícího záření (compulsory elective course)
- BS Experimentální jaderná a částicová fyzika (compulsory elective course)
- BS Inženýrství pevných látek (compulsory elective course)
- BS Diagnostika materiálů (compulsory elective course)
- BS Fyzika a technika termojaderné fúze (compulsory elective course)
- BS Fyzikální elektronika (compulsory elective course)
- Bc Laser Technology and Instrumentation (compulsory course of the specialization)
- Applications of Informatics in Natural Sciences (compulsory course in the program)