Mathematics II

Lecturer:

Tutor:

Supervisor:

Department of Technical Mathematics

Synopsis:

Multi-variable calculus, typical applications.

Requirements:

Syllabus of lectures:

Quadrics in E3. Calculus of functions of more variables - limit, continuity, partial derivatives, gradient, implicit function, extremes, double and triple integral, methods of evaluation, line integral of a scalar and a vector function, Green?s theorem, surface integral of a scalar and a vector function, Gauss-Ostrogradski theorem, Stokes? theorem. Potential.

Syllabus of tutorials:

Quadrics in E3. Calculus of functions of more variables - limit, continuity, partial derivatives, gradient, implicit function, extremes, double and triple integral, methods of evaluation, line integral of a scalar and a vector function, Green?s theorem, surface integral of a scalar and a vector function, Gauss-Ostrogradski theorem, Stokes? theorem. Potential.

Study Objective:

Differential calculus of functions of more variables: limit, continuity, partial derivative, Higher order partial derivatives, Maxima and minima, Implicit functions, Double integral: definition, basic properties, method of calculation (Fubini theorem. transformation to polar and other coordinates), applications, Operators div and curl, Gauss theorem and Stokes

Study materials:

J. Neustupa, J., Kraemar, S.: Mathematics II, CTU Publishing House, Prague, 1998, R. L. Finney,R.L, Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: