Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
14.01.2005 | Snorre Christiansen | Vilhelm Bjerknes Auditorium 2 | Introduction | Practical information and overview of the course |
18.01.2005 | Snorre | Vilhelm Bjerknes Auditorium 3 | Definitions, first order scalar linear equations. Integrating factor. | Robinson p. 75-78, chapter 9. |
21.01.2005 | Snorre | VB Aud 2 | Exercises | Based on Rob. chapter 9 (including §9.4). Exercises 9.1, 9.2, 9.7. |
25.01.2005 | Snorre | VB Aud 3 | Exercises | Rob. ex. 9.8.Exercises 1.1 to 3.2 in notes provided under "undervisningsmateriale". |
28.01.2005 | Snorre | VB Aud 2 | Gronwall's lemma. Lipschitz continuity. Uniqueness of solutions. | Mat. Mol. §II.1 |
01.02.2005 | Snorre | VB Aud 2 | Separable equations | Rob. chap. 8 |
04.02.2005 | Snorre | VB Aud 2 | Exercises | From "Notes_1" provided in undervisnings materiale. |
08.02.2005 | Snorre | VB Aud 2 | More tricks | Exact equations. Rob. chap. 10 |
11.02.2005 | Snorre | VB Aud 2 | Exercises | Rob. Chap. 8: 8.1(i and ii), 8.2, 8.8, 8.10. Notes 1: 3.3 |
15.02.2005 | Snorre | VB Aud 2 | Changes of variables. Some qualitative properties (multidimensional case). | End of Rob. chap 10. Curve and orbit associated with a solution. Stationary points. |
18.02.2005 | Rob. chap 10: 10.1 (i) and (ii), 10.3, 10.4. Notes 3 | |||
22.02.2005 | Cauchy-Lipschitz (without complete proof) and 1D phase diagrams. | Rob. chap. 6-7. Notion of maximal solution. | ||
25.02.2004 | Notes 1: all remaining ex. up to 3.3. Notes 3: ex. 1.1. Notes 4: ex. 1.1. | |||
01.03.2005 | Linear equations | Highorder linear scalar equation. Reformulation as a first order system. | ||
04.03.2005 | Rob. 7.1 (i and ii), 7.3, 7.8, 7.9. E&P, ex. 27 p. 41. | |||
08.03.2005 | LInear equations | Highorder scalar linear equations with constant coefficients. Read Edwards & Penney Chap 2 §2.1, 2.2, 2.3. | ||
11.03.2005 | Last minute exercises for midterm. Rob. 6.2 (correct it!), 6.3, 10.1(iii) and Notes 4 ex. 1.1 with f(x)=log(1+x)/x, f(0)= 1. | |||
15.03.2005 | Ingen undervisning | Eksamensuke | ||
18.03.2005 | Ingen undervisning | Eksamensuke | ||
22.03.2005 | Ingen undervisning | Påskeferie | ||
25.03.2005 | Ingen undervisning | Langfredag | ||
29.03.2005 | Linear equations | Linear independence, Wronskian, Vandermonde determinant. | ||
01.04.2005 | Comments on Midterm exam and linear independence of functions. | |||
05.04.2005 | Linear equations | Chapter 2 in E&P continued: §2.5. | ||
08.04.2005 | Notes 7. Ex 3.1, 3.2, 3.3, 3.4. | |||
12.04.2005 | Vibrations | Mechanical vibrations, electric circuits. Resonance. E&P §2.4, 2.6, 2.7. | ||
15.04.2005 | E&P §2.1: 30,32;E&P §2.3: 35;E&P §2.5: 1, 21, 41. | |||
19.04.2005 | Ingen undervisning | Foreleser er utenlands. | ||
22.04.2005 | Ingen undervisning | Foreleser er utenlands. | ||
26.04.2005 | Linear systems of equations | E&P Chapter 5. §5.1. Some help with the compulsory exercise. | ||
29.04.2005 | E&P §2.4: 8, 12, 35-38;E&P §2.6: 20. | |||
03.05.2005 | LInear systems of equations | Elimination and Eigenvalue method. E&P §5.2 and §5.4 (§5.3 is assumed known). | ||
06.05.2005 | §5.1, ex. 1, 11, 21, 24. | |||
10.05.2005 | Multiple eigenvalues and start of matrix exponentials. E&P §5.6, §5.7. | |||
13.05.2005 | Correction of the compulsory exercise. | |||
17.05.2005 | Ingen undervisning | 17 mai! | ||
20.05.2005 | Ex 1, 3, 17 and 38 §5.4 in E&P. | |||
24.03.2005 | Matrix exponentials continued. Variation of parameters. E&P §5.8, §5.9. | |||
27.05.2005 | §5.4: ex 11, 15. §5.6: ex 1, 11, 33. Notes 8. | |||
31.05.2005 | Summary of the year. See also §31 in Robinson (summary for 2 coupled linear equations). | |||
03.06.2003 | Questions from the audience. Or ex E&P §5.7 ex 9, 21, 25; §5.8 ex 17. | |||
07.06.2005 | Eksamensuke | |||
10.06.2005 | Eksamensuke | |||
14.06.2005 | Eksamen |
Undervisningsplan
Publisert 14. jan. 2005 14:36
- Sist endret 31. mai 2005 13:50