Subject description - B6B01MAA
Summary of Study |
Summary of Branches |
All Subject Groups |
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List of Roles |
Explanatory Notes
Instructions
| B6B01MAA | Mathematics Analysis | ||
|---|---|---|---|
| Roles: | P | Extent of teaching: | 2P+2S+2D |
| Department: | 13101 | Language of teaching: | |
| Guarantors: | Žukovec N. | Completion: | Z,ZK |
| Lecturers: | Žukovec N. | Credits: | 5 |
| Tutors: | Žukovec N. | Semester: | Z |
Web page:
https://moodle.fel.cvut.cz/courses/B6B01MAAAnotation:
This course is an introduction to differential and integral calculus. It covers basic properties of functions, limits of functions, derivative and its applications (graphing, Taylor polynomial) and definite/indefinite integral with its applications, sequences and series.Course outlines:
| 1. | Introduction to calculus. | |
| 2. | Real numbers, basic mathematical terminology. | |
| 3. | Functions, elementary functions. | |
| 4. | Limit of a function, continuity. | |
| 5. | Derivative, properties and interpretations. | |
| 6. | L'Hospital's rule, the Taylor polynomial. | |
| 7. | Extrema of functions. Graph sketching. | |
| 8. | Indefinite integral (antiderivative), basic methods. | |
| 9. | Integrating rational functions using partial fractions. | |
| 10. | Definite integral, properties and evaluation. | |
| 11. | Improper integral, applications of integral. | |
| 12. | Sequences. | |
| 13. | Series. |
Exercises outline:
Practical classes follow lectures thematically. While on lectures, the focus is on understanding of notions and on justifications of validity of claims, in exercises students learn to solve routine problems.| 1. | Introduction to calculus. | |
| 2. | Real numbers, basic mathematical terminology. | |
| 3. | Functions, elementary functions. | |
| 4. | Limit of a function, continuity. | |
| 5. | Derivative, properties and interpretations. | |
| 6. | L'Hospital's rule, the Taylor polynomial. | |
| 7. | Extrema of functions. Graph sketching. | |
| 8. | Indefinite integral (antiderivative), basic methods. | |
| 9. | Integrating rational functions using partial fractions. | |
| 10. | Definite integral, properties and evaluation. | |
| 11. | Improper integral, applications of integral. | |
| 12. | Sequences. | |
| 13. | Series. |
Literature:
| 1. | M. Demlová, J. Hamhalter: Calculus I. ČVUT Praha, 1994 | |
| 2. | P. Pták: Calculus II. ČVUT Praha, 1997. | |
| 3. | Math Tutor http://math.feld.cvut.cz/mt |
Requirements:
High-school mathematics. Subject is included into these academic programs:| Program | Branch | Role | Recommended semester |
| BPSIT | Common courses | P | 3 |
| BPSIT_2021 | Common courses | P | 3 |
| BPSIT4_2021 | Technologie internetu věcí | P | 3 |
| BPSIT3_2021 | Business informatics | P | 3 |
| BPSIT2_2021 | Technologie pro multimédia a virtuální realitu | P | 3 |
| BPSIT1_2021 | Enterprise systémy | P | 3 |
| Page updated 20.4.2024 05:54:34, semester: Z,L/2023-4, Z/2024-5, Send comments about the content to the Administrators of the Academic Programs | Proposal and Realization: I. Halaška (K336), J. Novák (K336) |