| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| ЕМN 3294 | Fundamentals of computational mathematics | Үшінші курс | 5 | 150 | 1 | 2 |
The discipline allows students to develop knowledge and skills in the field of computational mathematics. Students learn algebraic and transcendental equations, methods and algorithms for numerical solutions of systems of linear and nonlinear algebraic equations, methods for integrating and approximating Cauchy problems for simple differential equations and systems. Be able to choose the optimal means and methods of mathematics in solving applied and fundamental problems, apply the methods of computational mathematics in solving important applied problems.
Group work, blitz-questions, critical thinking, brainstorming, case-stage, developmental teaching method, poster protection creativity teaching methods, Group work, cloud technology, IT method, Case-study method, group project work method, professional skill improvement method, problem composition method, Modular teaching technology.| 1 | Uses the rules, laws and methods of mathematics to solve problems in various areas of mathematics (LO 5); |
| 2 | Apply the theoretical knowledge gained in fundamental mathematics to the description of processes and phenomena in various fields of mathematics (LO6); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Error structure. Absolute and relative errors. | презентация |
| 2 | Function error. Curriculum vitae. Self-test questions. | Жазбаша |
| 3 | Basic concepts of linear algebra. Conditionality of the system of linear algebraic equations. | презентация |
| 4 | Methods of solving the system of linear algebraic equations | презентация |
| 5 | Method of partial division. Chorda method (linear interpolation method). | презентация |
| 6 | Newton's method (tangent method). A simple iteration method (fixed point problem). | презентация |
| 7 | Iteration method for a system of two equations. Newton's method for systems of two equations | Жазбаша |
| 8 | Calculation and basic definitions Interpolation using polynomials | презентация |
| 9 | Mean-square approximations using Taylor series. | Жазбаша |
| 10 | Numerical differentiation using Lagrangian interpolation polynomials | презентация |
| 11 | Formulation of the problem. Quadrature formulas for rectangles | Жазбаша |
| 12 | Trapezium method. Simpson's method | презентация |
| 13 | Basic concepts. Euler's method is a different approach to construction. Euler's method with recalculation | Жазбаша |
| 14 | Runge-Kutta methods. Numerical solution of higher order differential equations | Жазбаша |
| 15 | Solution of the boundary value problem Finite difference method | презентация |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | 1. Demidovich B. P., Maron I. A. Hesaplamalı matematiğin temelleri. St. Petersburg: Lan, 2009. 2. Bakhvalov N.S., Zhidkov N.P., Kobelkov G.M. Sayısal yöntemler. M.: Fizmatlit, 2003. 3. Verzhbitsky V. M. Sayısal yöntemlerin temelleri: ders kitabı. M.: Yüksek Okul, 2009. 4. Pirumov U. G. Sayısal yöntemler: üniversiteler için ders kitabı. M.: Drofa, 2007. 5. Samarsky A.A., Gulin A.V. Sayısal yöntemler. M.: Nauka, 1989. | |
| 2 | 6. Амосов А. А., Дубинский Ю. А., Копченова Н. В. Вычислительные методы для инженеров. М.: Высшая школа, 1994. 7. Фоpсайт Дж., Малькольм М., Моулеp К. Машинные методы вычислений. М.: Миp, 1980. 8. Варапаев В. Н. Численные методы Юнита 2. М.: СГУ, 1999. 9. Гаврилова Н. М. Вычислительная математика. Ч. 1. Тюмень: Изд-во ТюмГУ, 2008. |