Multivariable Calculus
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
F7ABBFVP | KZ | 2 | 1P+1C | English |
- Garant předmětu:
- Petr Maršálek
- Lecturer:
- Petr Maršálek
- Tutor:
- Petr Maršálek
- Supervisor:
- Department of Natural Sciences
- Synopsis:
- Requirements:
- Syllabus of lectures:
-
1. Multi variable function, limit, continuity, partial derivative, higher order partial derivative, directional derivative, gradient.
2. Total differential and its applications, tangent plane. Derivative of composed function, derivative of implicit function.
3. Local and constrained extrema, Lagrange multipliers.
4. Double integrals, substitution in double integral, Jacobian, Dirichlet’s theorem, Fubini’s theorem.
5. Triple integrals, substitution, spherical, cylindrical coordinates.
6. Curve integrals of the first and second kind.
7. Surface integrals, Green, Stokes and Gauss theorem.
- Syllabus of tutorials:
-
1. Multi variable function, limit, continuity, partial derivative, higher order partial derivative, directional derivative, gradient.
2. Total differential and its applications, tangent plane. Derivative of composed function, derivative of implicit function.
3. Local and constrained extrema, Lagrange multipliers.
4. Double integrals, substitution in double integral, Jacobian, Dirichlet’s theorem, Fubini’s theorem.
5. Triple integrals, substitution, spherical, cylindrical coordinates.
6. Curve integrals of the first and second kind.
7. Surface integrals, Green, Stokes and Gauss theorem.
- Study Objective:
- Study materials:
- Note:
- Time-table for winter semester 2023/2024:
- Time-table is not available yet
- Time-table for summer semester 2023/2024:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Prospectus - bakalářský (!)
- Biomedical Technology (compulsory elective course)