MAT2440 - Spring 2011

Undervisningsplan

DatoUndervises avStedTemaKommentarer / ressurser
18.01.2010Xavier 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 1.6

In 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 plot

Exercise 6.2.17 and this exercise. solution?

25.02.2011--? --? Linear systems? EP 5.3

Exercise 5.1.10,21,29.?

01.03.2011--? --? Linear systems? EP 5.3-4

This exercise (from the book "Differential Equations" of Blanchard, Devaney, Hall) and this exercise. solution?

04.03.2011--? --? Linear systems - Complex eigenvalues? EP 5.4

Exercises 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?
25.03.2011Nils Henrik Risebro? --? Matrix exponential? EP section: 5.7-5.8.?
29.03.2011NHR? --? Nonlinear equations? EP, chapter 7.?
01.04.2011NHR? --? Exercises? From Edwards & Penney: 5.7: 7, 11, 16, 21, 27, 33, 34.?
05.04.2011NHR? --? Nonlinear systems, linearization? EP, chapter 7?
08.04.2011NHR? --? Nonlinear systems, exercises? From Edwards & Penney: 7.1: 8,9, 7.2: 1 - 8.?
12.04.2011Xavier Raynaud? --? 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.?

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 11.5

exercise (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.?
Published Jan. 10, 2011 3:44 PM - Last modified May 25, 2011 3:58 PM
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