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EP Information Systems 6В06102 Module 10: Mathematics

Module 10: Mathematics

Code

M10IS(Ba)

Module Elements

Compulsory Subject
Mathematics 3

Semester Number:

3

Person responsible for the module

A.A. Tadzhigitov

Lecturer:

Mathematics 3 – A.A. Tadzhigitov

Language:

Russian, Kazakh

Curriculum relation:

Information Systems (Ba)

Type of teaching / number of hours per week and per semester :

3 semester: hours per week – 10 (lectures -1; workshops -2; labs-1; independent work of students -6);
hours per semester  – 150.

Workload:

Teaching Load: 60 hours
Extracurricular Classes: 90 hours
Total: 150 hours

Credit Points:

5 ECTS

Conditions for Examinations:

For admission to the exam, the student must score at least 50 points out of 100 available for the subject

Recommended Conditions:

This module is based on the knowledge gained by students in the course of the previous undergraduate subjects: Mathematics 1, Mathematics 2.

Expected Learning Outcomes:

Know: the main types of ordinary differential equations of the first and higher orders and methods of their solution; systems of differential equations and methods of their solution; methods of representation of functions by means of series

Be able to: prove mathematical sentences and use them in solving problems;

Possess the skills: solutions of ordinary differential equations and systems of differential equations; independent replenishment of mathematical knowledge; examination of numerical and functional series for convergence.

Demonstrate the ability to: generalize, analyze, perceive information, set a goal and choose ways to achieve it.

Intendend use/applicability

Modules: Processes and Systems Simulation

Content:

To study the basic methods of solving differential equations and their systems; to learn to examine the numerical and functional series for convergence.

Examination Form, module mark:

Mathematics 3 - computer-based testing
Module mark: the result of the exam Mathematics 3

Technical/Multimedia Facilities:

Multimedia system.
IT room.

Study Materials:

1. N. Y. Vilenkin et al. Differential Equations. M.: Prosvescheniye, 2009.
2. K. N. Lungu et al. Collection of Problems in Higher Mathematics, in 2 books, Book 2. M., Ayris Press, 2011.
3. A. F. Filippov. Collection of Problems on Differential Equations. M.: Nauka, 2009.
4. G. M. Fichtenholz, Course of Differential and Integral Calculus, in 3 books, M.: Fizmatlit, 2008
5. V. I. Arnold. Ordinary Differential Equations. M.: Akademiya, 2010
6. B. V. Rabinovich. Course of Lectures on Higher Mathematics for the Specialty of Information Systems, Part 1, Petropavlovsk, 2001
7. S. N. Zankin, B. V. Rabinovich, Collection of Problems in Higher Mathematics for the Specialty of Information Systems, Part 1, Petropavlovsk, 2004
8. I. P. Natanson, Summation of Infinitely Small Quantities, a series of Popular Lectures on Mathematics, M. Nauka, 1956
9. L. Bers, Mathematical Analysis, vol. 1, M., Vysshaya Shkola, 1977.
10. A. I. Markushevich, Series, M., Nauka, 1957

Date of last amendment

20.01.2020

The expected result is according to the module communication matrix, when passing Module 10 of the educational program "Information Systems"

LO12: Possess the elements of spiritual, aesthetic and ethical culture; form judgments taking into account social and ethical aspects. Possess the skills of conceptual, logical and analytical thinking, fulfill the professional potential in solving problems and their proper documentation.