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Activity
| Week | Dates | Theme | Süli and Mayers | Extra Material |
|---|---|---|---|---|
| 2 | 07.01 10.01 | Introduction to the course, principles of computational mathematics, learning outcome of the course. Floating point numbers, roundoff error, stability of problems and algorithms. Bisection method and Newton method. Convergence of fixed point iterations. Brouwer's Theorem. Contraction mapping Theorem. | 1 | Slides |
| 3 | 14.01 17.01 | Convergence of Newton method. Newton for systems. Introduction to Python. Supervision of the first assignment. | 1, 4 | |
| 4 | 21.01 24.01 | Solution of systems of linear equations | 2 | |
| 5 | 28.01 31.01 | Least squares, condition numbers stability of linear systems, SVD | 2.7, 2.9 | |
| 6 | 04.02 07.02 | Gaussian Elimination | 2 | |
| 7 | 11.02 14.02 | Polynomial interpolation | 6 | |
| 8 | 18.02 21.02 | Polynomial interpolation | 8 | |
| 9 | 25.02 28.02 | Numerical integration and differentiation | 7 | |
| 10 | 04.03 07.03 | Project second part | ||
| 11 | 11.03 14.03 | Numerical Integration | 10 | |
| 12 | 18.03 21.03 | Initial value problems for ODEs | 12 | |
| 13 | 25.03 28.03 | Initial value problems for ODEs | 12 | |
| 15 | 01.04 04.04 | Boundary value problems | 13 | |
| 16 | 08.04 11.04 | Boundary value problems | 13 | |
| 18 | 29.04 | Questions and answers |