Multivariable Calculus

Grading of the course requires grading of the following courses:

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:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed
Thu	roomKL:B-435 Feuerstein E. 10:00–11:50 (lecture parallel1) Kladno FBMI Počítačová učebnaroomKL:B-435 Feuerstein E. 12:00–13:50 (lecture parallel1 parallel nr.1) Kladno FBMI Počítačová učebna
Fri

Time-table for summer semester 2022/2023:

Time-table is not available yet

The course is a part of the following study plans:

• Prospectus - bakalářský (!)
• Biomedical Technology (compulsory elective course)