MATH582 NUMERICAL ANALYSIS II
| Course Code: | 2360582 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Assoc.Prof.Dr. BAVER OKUTMUŞTUR |
| Offered Semester: | Fall Semesters. |
Course Objectives
The objective of this course is to provide mathematical and computational aspects of interpolation, numerical differentiations/integrations.
Course Content
Interpolation and approximation: Lagrange and Newton interpolation, Hermite interpolation, trigonometric interpolation and Fourier series. Spline interpolation B-splines and recursive algorithms. Numerical differentation and quadrature: Newton-Cotes formulas, Gaussian integration rules. Extrapolation and Romberg integration, adaptive quadrature. Hierarchal and recursive quadrature formulas: Archimedes integration formula. Root finding methods.
Course Learning Outcomes
Students are expected to understand and to apply both theoretical and computational aspects of interpolation, numerical differentiations and numerical integrations.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields. | ✔ | |||
| 2 | Gains academic maturity through self-study. | ✔ | |||
| 3 | Can design mathematics related problems, devise solution methods and apply them when appropriate. | ✔ | |||
| 4 | Carries out parts of a mathematical research program independently. | ✔ | |||
| 5 | Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak). | ✔ | |||
| 6 | Contributes to solving global, environmental and social problems either individually or as being part of a social group. | ✔ | |||
| 7 | Respects ethical values and rules; applies them in professional and social issues. | ✔ | |||
| 8 | Can work cooperatively in a team and also individually. | ✔ | |||
| 9 | Gets exposed to academic culture through interaction with others. | ✔ | |||
| 10 | Comprehends necessity of knowledge, can define it and acquires it; uses knowledge effectively and shares it with others. | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution