Lecture Plan
Note! This will most likely be changed during the semester.
| Week | Date | Subject | Reference | Additional Material | Recommended Exercises | Lecturer |
|---|---|---|---|---|---|---|
| 2 | 10.01 | Introduction to the course, principles of computational mathematics, learning outcome of the course | pendel.ipynb slides om praktisk info | Brynjulf Owren | ||
| 11.01 | Floating point numbers, roundoff error, stability of problems and algorithms. Bisection method and Newton method | float_BO | float bisection.ipynb | Brynjulf Owren | ||
| 3 | 17.01 | Contraction mapping Theorem. Convergence of fixed point iterations | 4.1-4.2 | Nonlinear systems | Brynjulf Owren | |
| 18.01 | Newton method for systems, quadratic convergence. Brouwer's Theorem. | 4.3-4.5 | newton.ipynb | Brynjulf Owren | ||
| 4 | 24.01 | Linear algebra, iterative methods | 2.7 | sauer-2.5.pdf | Brynjulf Owren | |
| 25.01 | Solution of systems of linear equations with iterative methods | Sauer 2.5 | liniter.ipynb | Brynjulf Owren | ||
| 5 | 31.01 | Least squares, condition numbers | 2.7 | hilbert_test.ipynb | Brynjulf Owren | |
| 01.02 | Stability of linear systems, SVD | 2.7-2.9 | leastsquare.ipynb | Brynjulf Owren | ||
| 6 | 07.02 | Computing SVD. Householder transformations, computing QR | 5.5, 5.7 | Sondre Galtung | ||
| 08.02 | Gaussian Elimination with pivoting | 2.4 | gaussian_elimination.ipynb | Sondre Galtung | ||
| 7 | 14.02 | Polynomial interpolation | 6.1-6.2 | Sondre Galtung | ||
| 15.02 | Polynomial interpolation | 6.2-6.3 | Runge phenomenon animation For the Newton form of the interpolation polynomial and divided differences see Problem 2 in this note | Sondre Galtung | ||
| 8 | 21.02 | Polynomial approximation | 6.4, 8.1-8.3 | Sondre Galtung | ||
| 22.02 | Polynomial approximation | 8.3-8.5 | Sondre Galtung | |||
| 9 | 28.02 | Numerical integration | 7.1-7.3 | Brynjulf Owren | ||
| 29.02 | Numerical integration | 7.5-7.7 | Brynjulf Owren | |||
| 10 | 06.03 | Numerical integration | 9.1, 9.2, 9.4 | Brynjulf Owren | ||
| 07.03 | Numerical integration | 10.1-10.5 | gausscomposite.ipynb | Brynjulf Owren | ||
| 11 | 14.03 | Initial value problems for ODEs | notater_ode.pdf (Norwegian, lectured material) and note.pdf (English) | Brynjulf Owren | ||
| 15.03 | Initial value problems for ODEs | Brynjulf Owren | ||||
| 12 | 20.03 | Initial value problems for ODEs | Example of (in)stability (Prothero–Robinson) proth-rob.ipynb | Sondre Galtung | ||
| 21.03 | Initial value problems for ODEs | Sondre Galtung | ||||
| 13 | 27.03 | Easter - No lectures | ||||
| 28.03 | ||||||
| 14 | 03.04 | Difference approximations | For these two weeks (14-15), most of the material is found in compact form here: masterbvp.pdf | Brynjulf Owren | ||
| 04.04 | Boundary value problems | Brynjulf Owren | ||||
| 15 | 10.04 | Boundary value problems | Sondre Galtung | |||
| 11.04 | Boundary value problems | Sondre Galtung | ||||
| 16 | 17.04 | Old exam problems | Selected exam tasks | Abdullah Abdulhaque | ||
| 18.04 | No lecture | |||||
