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Calculus, part 2
Major: Applied Mathematics
Code of Subject: 6.113.00.O.12
Credits: 6
Department: Applied Mathematics
Lecturer: Ph.D., Volodymyr R. Hladun,
Ph.D., Mykola M. Strochyk.
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.
-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.
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.
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).
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).
Assessment methods and criteria:
Tests assessment, individual homeworks (40%), final examination (60%).
Calculus, part 2
Major: Applied mathematics and informatics
Code of Subject: 6.113.00.O.12
Credits: 6
Department: Applied Mathematics
Lecturer: Ph.D., Volodymyr R. Hladun,
Ph.D., Mykola M. Strochyk.
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.
-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.
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.
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).
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).
Assessment methods and criteria:
Tests assessment, individual homeworks (40%), final examination (60%).