| Course title | Mathematical Analysis 3 |
|---|---|
| Course code | KMA/MAF3 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Winter |
| Number of ECTS credits | 7 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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1. Lebesgue measure and integral. 2. Limits, sums and differentiation after the integral sign. 3. Fubini's Theorem and integration by substitution. 4. Curve integrals and potential. 5. Surface integrals. 6. Gauss-Ostrogradsky's, Green's and Stokes' Theorems.
|
| Learning activities and teaching methods |
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration
|
| Learning outcomes |
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Understand integral calculus of functions of several variables
Comprehension Understand integral calculus of functions of several variables. |
| Prerequisites |
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Differential calculus of functions of several variables, integration on the real axis.
KMA/MAF2 |
| Assessment methods and criteria |
|
Oral exam, Written exam
Credit: active participation, the student has to pass two written tests (i.e. to obtain at least half of the possible points in each test). |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Biophysics - Specialization in General Biophysics (2024) | Category: Physics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Nanotechnology (2019) | Category: Special and interdisciplinary fields | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Optics and Optoelectronics (2019) | Category: Physics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Biophysics - Specialization in Molecular Biophysics (2024) | Category: Physics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Physics (2019) | Category: Physics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Instrument and Computer Physics (2019) | Category: Physics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): General Physics and Mathematical Physics (2019) | Category: Physics courses | 2 | Recommended year of study:2, Recommended semester: Winter |