CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2022/2023
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

# Multivariable Calculus

Code Completion Credits Range Language
F7ABBFVP KZ 2 1P+1C English
Integral Calculus (F7ABBITP)
Garant předmětu:
Eva Feuerstein, 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 2022/2023: