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Elements of Higher Mathematics

Anotace

Subject contains parts of higher mathematics omitted in some bachelor programs. Mastering selected parts is essential for the successful engineering degree in Computational Mathematics.
In the field of differential calculus of of functions of several variables we concetrate on the following parts: differentiating of composite functions, Taylor polynomials, implicit function theorem, constrained extremes. Students also learn the basic principles and methods of multidimensional integration. Attention to numerical methods is focused on issues of numerical differentiation and integration of functions. Some remarks are dedicated to a function approximation, search for zero points and extremal tasks.
A substantial part of the course is the interpretation of the relevant passages in the field of ordinary differential equations and their systems.

Povinná literatura

• W. Rudin, Principles of Mathematical Analysis, McGraw-Hill Book Company, New York, 1964
• W. E. Boyce, R. C. DiPrima: Elementary differential equations. Wiley, New York 1992

Doporučená literatura

• M. Braun: Differential Equations and Their Applications. Springer, Berlin 1978.


Language of instruction čeština, angličtina
Code 470-4123
Abbreviation EVM
Course title Elements of Higher Mathematics
Coordinating department Department of Applied Mathematics
Course coordinator Mgr. Bohumil Krajc, Ph.D.