| Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
| 19.01.2010 | Xavier Raynaud | Auditorium 4 Vilhelm Bjerknes hus | Modelling via differential equations, Separable equations | Blanchard, Devaney and Hall, Section 1.1 and 1.2 |
| 21.01.2010 | -- | -- | Separable equations, Slope fields | --, Section 1.2-1.3 |
| 26.01.2010 | -- | -- | Euler's method | --, Section 1.4
--, Exercises 5,11,19,25,27,31 in section 1.2 (solution) |
| 28.01.2010 | -- | -- | Convergence proof of Euler's method. Improved Euler and Runge-Kutta methods | --, Section 1.4, Section 7.1-7.3 |
| 02.02.2010 | -- | -- | Linear equations | --, Secton 1.8
--, Exercises 9,13 p.49, 17 p.51, 20 p.65 and this exercise. (solution) |
| 04.02.2010 | -- | -- | Existence and uniqueness of solutions | --, Section 1.5 |
| 09.02.2010 | -- | -- | First order systems - direction fields | --, Section 2.1,2.2
--, Exercises 19 p.135, 26 p.137, 47 p.141, 55 p.143 (solution) |
| 11.02.2010 | -- | -- | Linear systems, linearity principle | --, Section 3.1 |
| 16.02.2010 | -- | -- | Linear systems with real eigenvalues | --, Section 3.2,3.3
These exercises and BDH, ex1,8,20 p.164-167, ex 21,27 p.186-187. (solution) |
| 18.02.2010 | -- | -- | Linear systems with real/complex eigenvalues | --, Section 3.3,3.4 |
| 23.02.2010 | -- | -- | Linear systems with complex eigenvalues | --, Section 3.4
--, ex. 16,28,29,33 section 3.1; ex. 14 section 3.2; ex. 12,20 section3.3. (solution) |
| 25.02.2010 | -- | -- | Linear systems with repeated eigenvalues. Generalized eigenvectors. | Edwards and Penney, Section 5.6. Lecture notes |
| 09.03.2010 | -- | -- | Generalized eigenvectors | EP, Section 5.6
BHL, ex. 1,10,11,23 section 3.4, ex. 12 section 3.5. (solution) |
| 11.03.2010 | -- | -- | Generalized eigenvectors, Matrix solutions | EP, Section 5.7. examples |
| 16.03.2010 | -- | -- | Matrix exponential | EP, Section 5.7
EP, ex. 26,33,35 p. 406-407. In ex.35, the railway cars problem is from Fig 5.6.2 (and not 5.6.1 as indicated in the text). In ex. 33, there is a mistake in v_2; compute the correct chain. (solution) |
| 18.03.2010 | -- | -- | Matrix exponential - Linear system with forcing term | EP, Section 5.7,5.8 |
| 06.04.2010 | -- | -- | Calculus of variation | Syds?ter, Seierstad, Str?m (SSS), Matematisk Analyse: seksjon 11.1-11.2
Seierstad, Syds?ter (SS), Optimal control with economic applications: section 1.1. EP, ex. 1,33, p.420, 18 p.428 BHL ex 3 p.466 (solution) |
| 08.04.2010 | -- | -- | Calculus of variation | SSS, sections 11.3-11.4 (SS, chap.1 sections 2,4,6) |
| 13.04.2010 | -- | -- | Calculus of variation | SSS, ex 1,3,6,8 p.341 (english version, solutions) |
| 15.04.2010 | -- | -- | Calculus of variation | SSS, Section 11.5 (SS chap.1, section 5) |
| 20.04.2010 | -- | -- | Dynamic programming | lecture notes on dynamic programming
exercises (solutions) |
| 22.04.2010 | -- | -- | Dynamic programming | |
| 27.04.2010 | -- | -- | Dynamic programming | Shortest path problem.
exercises (solutions) |
| 29.04.2010 | -- | -- | Optimal control theory | SSS, section 12.1-2 (SS chap.2 sections 1-3) |
| 04.05.2010 | -- | -- | Optimal control theory | SSS, Section 12.4-5
exercises. (solutions) |
| 06.05.2010 | -- | -- | Optimal control theory | SSS, section 12.6,12.8 |
| 11.05.2010 | -- | -- | Optimal control theory | SSS, Section 12.6,12.8
exercises (solutions) |
| 18.05.2010 | -- | -- | Optimal control theory (exercises) | exercises from last week. |
| 20.05.2010 | -- | -- | Optimal control theory (exercises) + repetition | exercises on optimal control theory (SSS, ex.4 p. 383, ex.1 p.390).
Repetition ex. 20c p.289 and 11c p.305 in BDH. Exercise 3 in exam 2008 (INF-MAT1310) (solutions) |
| 25.05.2010 | -- | -- | Repetition | exam from 2007 (MAT-INF1310) (solutions) |
| 27.05.2010 | -- | -- | Repetition | exam from 2008 (MAT2310) (only exercise 1) (solutions)
exam from 2007 (MAT2310) (solutions) |
Undervisningsplan
Published Dec. 15, 2009 5:18 PM
- Last modified Feb. 24, 2023 1:57 PM