MAT-INF1310 - Vår 2005

Undervisningsplan

DatoUndervises avStedTemaKommentarer / ressurser
14.01.2005Snorre Christiansen  Vilhelm Bjerknes Auditorium 2  Introduction  Practical information and overview of the course 
18.01.2005Snorre  Vilhelm Bjerknes Auditorium 3  Definitions, first order scalar linear equations. Integrating factor.  Robinson p. 75-78, chapter 9. 
21.01.2005Snorre  VB Aud 2  Exercises  Based on Rob. chapter 9 (including §9.4). Exercises 9.1, 9.2, 9.7. 
25.01.2005Snorre  VB Aud 3  Exercises  Rob. ex. 9.8.

Exercises 1.1 to 3.2 in notes provided under "undervisningsmateriale". 

28.01.2005Snorre  VB Aud 2  Gronwall's lemma. Lipschitz continuity. Uniqueness of solutions.   Mat. Mol. §II.1 
01.02.2005Snorre  VB Aud 2  Separable equations  Rob. chap. 8 
04.02.2005Snorre  VB Aud 2  Exercises  From "Notes_1" provided in undervisnings materiale.  
08.02.2005Snorre  VB Aud 2  More tricks  Exact equations. Rob. chap. 10 
11.02.2005Snorre  VB Aud 2  Exercises  Rob. Chap. 8: 8.1(i and ii), 8.2, 8.8, 8.10. Notes 1: 3.3 
15.02.2005Snorre  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 
Publisert 14. jan. 2005 14:36 - Sist endret 31. mai 2005 13:50
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