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Terminated in academic year 2021/2022

Applied Mathematics

Type of study Bachelor
Language of instruction English
Code 151-0561/01
Abbreviation ApMath
Course title Applied Mathematics
Credits 6
Coordinating department Department of Mathematical Methods in Economics
Course coordinator prof. RNDr. Dana Šalounová, Ph.D.

Subject syllabus

1. Linear equations – solutions of linear equations by row operations, consistent and inconsistent systems, linear equations in matrix form, the input-output model.
2. Calculus of one real variable functions – applying the derivatives to investigation of functions, introduction to optimisation, the derivatives in economics.
3. Further topics in integration – partial fractions, economic applications of integration.
4. Functions of several variables – partial derivatives, multivariable optimisation, constrained optimisation, the Lagrange multiplier method.
5. First-order differential equations – separable differential equation, linear equations with a variable coefficient, continuous-time models.
6. Second-order differential equations – linear equations with constant coefficients, solution of homogeneous equations, non-homogeneous equations.

Literature

Goldstein, L., Lay, D., Schneider, D. and Asmar, N. Calculus and Its Applications. Pearson, 2010, ISBN 978-0-3-21571304.

Sydsaeter, K., Hammond, P. J. Mathematics for Economics Analysis. Pearson Education Limited, 2008, ISBN 978-0-273-71324-1 .

Advised literature

Anthony, M., Biggs, N. Mathematics for economics and finance. Cambridge. Cambridge University Press, 2003, ISBN 0-521-55113-7.

Binmore, K., Davies, J. Calculus. Concepts and Methods. Cambridge. Cambridge University Press, 2001, ISBN 0-521-77541-8.

Hoy, M., Livernois, J., McKenna, Ch., Rees, R., Stengos, T. Mathematics for Economics. The MIT Press, London, 2011.

Szidarovszky F., Molnár, S. Introduction to Matrix Theory. World Scientific Publishing, 2002, ISBN 981-02-4504-1.

Tan,T.S. Calculus: Multivariable Calculus. Brooks/Cole Cengage Learning, Belmont, 2010.