Contents:

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.

Seminar contents:

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.

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar