Mathematical Analysis part 2

Major: Applied mathematics and computer science
Code of subject: 6.113.00.O.012
Credits: 6.00
Department: Applied Mathematics
Lecturer: Ph.D., Volodymyr R. Hladun
Semester: 2 семестр
Mode of study: денна
Learning outcomes: As a result of course study a student should have: -knowledge on the the methods of integration, properties of the numerical and functional series; -abilities to apply integral calculus and the theory of series in the further study and solving mathematical problems.
Required prior and related subjects: Prerequisites: Calculus I. Corequisites: Algebra and Geometry, Differential Equations.
Summary of the subject: Indefinite integral. A definite integral. Improper integrals. Numerical series with nonnegative terms. Numerical series with terms of arbitrary sign. Functional sequences and series.
Assessment methods and criteria: Tests assessment, individual homeworks (40%), final examination (60%).
Recommended books: 1. Dorogovtsev A., Calculus, parts 1, 2. 1993, 1994. (In Ukrainian). 2. Zabolotskyi M., Storozh O., Tarasiuk S. Calculus. — K.: Znannia, 2008. — 421 p. (In Ukrainian). 3. Ter–Krikorov A., Shabunin M. Calculus. — M.: Fizmatlit, 2001. — 672 p. (In Russian). 4. Fichtenholz, Gr. Differential and Integral Calculus, v. I–III. 1966. (In Russian).