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Lecturer(s)
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Lacková Veronika, RNDr. Ph.D.
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Course content
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1. Continuity and limits of functions of more variables. 2. Deeper properties of partial derivatives, gradient. 3. Implicit functions and their derivatives. 4. Extrema of functions of more variables. 5. Extrema of functions of more variables (constrained). 6. Integration of functions of more variables. 7. Riemann approach, relations to measures, other integrals. 8. Regular mapping, substitution in integrals of functions of more variables. 9. Application of integration of functions of more variables in geometry and in physics. 10. Function series, uniform convergence. 11. Derivative and integration of function series. 12. Power series.
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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Theory of differential and integral analysis of functions of more variables, their usage in geometry and physics. Function series, their convergence, derivatives and integration, power series.
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Prerequisites
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unspecified
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Assessment methods and criteria
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unspecified
Good knowledge of differential and integral calculus of functions of one variable is required.
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Recommended literature
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