Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
18.01.2010 | Xavier Raynaud | Lille fysiske auditorium | Modelling via differential equations | Edwards and Penney, Section 1.1-1.2 |
21.01.2011 | -- | -- | Separable equations | EP 1.3 |
25.01.2011 | -- | -- | Slope fields | EP 1.2 |
28.01.2011 | -- | -- | Exercise session | Ex. 1.1.12 (ex. 12 in section 1.1) and ex. 1.1.31, 1.2.17, 1.4.3, 1.4.15, 1.4.38, 1.4.52. solutions |
01.02.2011 | -- | -- | Existence/uniqueness - Linear equations | EP 1.4,1.5 |
04.02.2011 | -- | -- | Substitution methods | EP 1.6In section 1.3, ex 1,11,12,15,23,30,31 solutions |
08.02.2011 | -- | -- | Substitution methods - Euler's method | EP 1.6, 6.1-2 |
11.02.2011 | -- | -- | Exercise session | Exercises 1.5: 24,25 and 1.6: 5,11,57,58,59 solutions |
15.02.2011 | -- | -- | Numerical methods - Systems of ODE | EP 6.2-3, EP 5.1 |
22.02.2011 | -- | -- | Systems of ODE | EP 5.1 - Phase plane plotExercise 6.2.17 and this exercise. solution |
25.02.2011 | -- | -- | Linear systems | EP 5.3Exercise 5.1.10,21,29. |
01.03.2011 | -- | -- | Linear systems | EP 5.3-4This exercise (from the book "Differential Equations" of Blanchard, Devaney, Hall) and this exercise. solution |
04.03.2011 | -- | -- | Linear systems - Complex eigenvalues | EP 5.4Exercises 5.4.6,19,41 solution |
08.03.2011 | -- | -- | Linear Systems - Multiple Eigenvalue Solutions | EP 5.6 |
11.03.2011 | -- | -- | Multiple eigenvalues solutions | EP 5.6 + lecture notes (updated version). Exercises 5.4.11,15,29. solutions |
15.03.2011 | -- | -- | Matrix exponentials | EP 5.7 |
18.03.2011 | -- | -- | -- | Cancelled |
22.03.2011 | -- | -- | Matrix exponentials | EP 5.7. Exercises 5.6.23,30,34 |
25.03.2011 | Nils Henrik Risebro | -- | Matrix exponential | EP section: 5.7-5.8. |
29.03.2011 | NHR | -- | Nonlinear equations | EP, chapter 7. |
01.04.2011 | NHR | -- | Exercises | From Edwards & Penney: 5.7: 7, 11, 16, 21, 27, 33, 34. |
05.04.2011 | NHR | -- | Nonlinear systems, linearization | EP, chapter 7 |
08.04.2011 | NHR | -- | Nonlinear systems, exercises | From Edwards & Penney: 7.1: 8,9, 7.2: 1 - 8. |
12.04.2011 | Xavier Raynaud | -- | Calculus of Variation | Sydsæter, Seierstad, Strøm (SSS), Matematisk Analyse: seksjon 11.1-11.2Seierstad, Sydsæter (SS), Optimal control with economic applications: section 1.1. |
15.04.2011 | -- | -- | Calculus of variation | SSS, ex 1,3,6,8 p.341 english version |
26.04.2011 | -- | -- | Calculus of Variation | Convex functions. Sufficient condition for minimizer. Free terminal conditions. SSS 11.3-5 |
29.04.2011 | -- | -- | Calculus of variation | Terminal condition with inequality. SSS 11.5exercise (solution) |
03.05.2011 | -- | -- | Optimal Control | Pontryagin maximum principle. |
06.05.2011 | -- | -- | SSS, ex 1,2 p.355 english version | |
10.05.2011 | -- | -- | Optimal Control | Examples. Sensitivity Analysis |
13.05.2011 | -- | -- | -- | Exercises |
20.05.2011 | -- | -- | -- | Sensitivity Analysis |
27.05.2011 | -- | -- | -- | Repetition. We go through some exercises and previous exams. |
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Published Jan. 10, 2011 3:44 PM
- Last modified May 25, 2011 3:58 PM