Students master sequences and series; they understand the notion of limit; they master the basic axiometry of differential and integral calculus; they understand function series and in particular master power and Fourier series.

None

The course includes the following main topics:

• Sequences and series (notion of convergence, limit arithmetic)
• Functions (limit determination, continuity, elementary functions) Differential calculus (concept of derivative, derivative rules, higher derivatives, numerical differentiation, limit rule of de L'Hospital)
• Integral calculus (Riemann sums, definite and indefinite integral, integration techniques, improper integrals)
• Basic information on function series (power and Fourier series)

The following basic literature will be used in the course:

• Teschl, G., Teschl, S., Mathematics for Computer Scientists, Vol. 2, Springer, 2006;
• Meyberg, K., Vachenauer, P., Higher Mathematics 1, Springer, 2003;
• Burg, K., et.al., Higher Mathematics for Engineers, Volume I: Analysis, Springer, 2012;

Lecture, exercises, accompanying tutorial offered (supplementary to the curriculum), accompanying use of computer algebra systems (MATLAB) and digital media for self-study.

Final grade comprised of

• Class participation,
• Partial or final examination