Code | Completion | Credits | Range | Language |
---|---|---|---|---|
F7ABBFVP | KZ | 2 | 1P+1C | English |
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.
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.
MULTIVARIABLE FUNCTIONS -LECTURES : https://harm.fbmi.cvut.cz/B221/F7ABBFVP/lec
MULTIVARIABLE FUNCTIONS - SEMINARS : https://harm.fbmi.cvut.cz/B221/F7ABBLAD/tut