MATH382 NUMERICAL ANALYSIS II
| Course Code: | 2360382 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 6.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Prof.Dr. SONGÜL KAYA MERDAN |
| Offered Semester: | Fall Semesters. |
Course Objectives
At the end of this course, the student will gain:
- an ability to apply knowledge of different numerical interpolation techniques for approximating functions
- an ability to apply knowledge of numerical differentiation via interpolation.
- an ability to apply knowledge of numerical integration approaches via interpolation.
Course Content
Approximating functions: polynomial interpolation, divided differences, Hermite interpolation, spline interpolation, the B-splines, Taylor Series, least square app-roximation. Numerical differentiation and integration based on interpolation. Richardson extrapolation, Gaussian quadrature, Romberg integration, adaptive quadrature, Bernoulli polynomials and Euler-Maclaurin formula.
Course Learning Outcomes
By the end of the course the students are expected to comprehend interpolation techniques for approximating functions, differentiating via polynomial interpolation, extrapolation and numerical integration methods by using polynomial interpolation.