| Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
| 14.01.2008 | L. Veseth? | ? | Komplekse funksjoner, stoff fra 2.8-2.14 i l?reboka.? | ? |
| 15.01.2008 | ? | ? | Fortsetter med komplekse funksjoner og rekker, stoff fra 2.6-2.15 i l?reboka.? | ? |
| 21.01.2008 | ? | ? | Analytic functions. The Cauchy-Riemann equations. 14.1-14.2 in the textbook.? | The lectures on January 21. and 22. will give a somewhat more comprehensive discussion of paragraphs 14.1-14.3 in the textbook.? |
| 22.01.2008 | ? | ? | Integrals of complex functions. Cauchys theorem and Cauchys integral formula (14.3)? | Problems for Wednesday January 23: From chapter 2 in the textbook: 7.14, 7.16, 9.26, 9.27, 10.21, 10.31, 11.12, 12.11, 14.23, 17.6, 17.22, 17.30.? |
| 28.01.2008 | ? | ? | The Cauchy integral formula with examples. Taylor series.? | The lectures on January 28th and 29th will give a somewhat extended treatment of paragraphs 14.3 and 14.4 in the textbook.? |
| 29.01.2008 | ? | ? | Laurent series. Another look at poles and zero-points.? | Problems for Wednesday January 30: Chapter 2: 17.25, 17.28, 17.32. Chapter 14: 1.11, 1.20, 2.27, 2.46, 2.63.? |
| 04.02.2008 | ? | ? | The residue theorem with examples. 14.5 and 14.6 in the textbook.? | ? |
| 05.02.2008 | ? | ? | Applications of the residue theorem. 14.7 in the textbook. Problems 8 and 9 from "extra problems" (see messages). From example 5 and out 14.7 is not part of the curriculum.? | Problems for Wednesday February 6th: Chapter 14: 3.17, 3.18, 3.19, 3.20, 3.22, 3.23, 4.6, 4.9, 4.11.? |
| 11.02.2008 | ? | ? | Final part of complex analysis. The principal value of an integral. Problems 10 and 11 from "extra problems". Start differential equations. Chapter 8: 8.3 and 8.4.? | ? |
| 12.02.2008 | ? | ? | Homogeneous second order diff. equations (8.5).? | Problems for Wednesday February 13th: Chapter 14: 6.9, 6.19, 6.28, 7.7, 7.9, 7.11, 7.13.? |
| 18.02.2008 | ? | ? | The Euler-Cauchy equation. Inhomogeneous diff. equations (8.6-8.7).? | ? |
| 19.02.2008 | ? | ? | Inhomogeneous diff. equations. Solutions in terms of Greens functions (8.12).? | Problems for Wednesday February 20th: Chapter 14: 7.17 and 7.24, Chapter 8: 3.3, 3.11, 5.11, problem 12a,b,c from "extra problems".? |
| 25.02.2008 | ? | ? | Greens functions: Examples. Solutions of diff. equations in terms of series expansion. Chapter 12, 12.1-12.2.? | ? |
| 26.02.2008 | ? | ? | Series solutions (continued). The Legendre and Hermite equations. 12.11-12.12 and 12.21.? | Problems for Wednesday February 27th: Chapter 8: 6.3, 6.11, 6.23, 7.17, 7.18, 7.22. ? |
| 03.03.2008 | ? | ? | Fourier series. Chapter 7 (7.1-7.9).? | ? |
| 04.03.2008 | ? | ? | Fourier series with examples. Start Fourier transforms (7.12).? | Problems for Wednesday March 5th: Chapter 8: 12.16, 12.18, 13.8. Chapter 12: 1.9, 11.2, 11.6, 11.8.? |
| 10.03.2008 | ? | ? | Fourier transforms. Chapter 7, 7.12. Some stuff also from chapter 8, 8.10 and 8.11.? | ? |
| 11.03.2008 | ? | ? | Fourier transforms, examples. Start Laplace transforms, chapter 8, 8.8.? | Problems for Wednesday March 12th: Chapter 7: 5.7, 5.8, 8.16, 9.6, 9.11.? |
| 25.03.2008 | ? | ? | No lecture on Tuesday March 25th. ? | ? |
| 26.03.2008 | ? | ? | Colloquium? | Problems for Wednesday March 26th: Chapter 7: 9.15, 12.1, 12.6, 12.11, 12.22, 12.25. Chapter 8: 11.14, 11.15. ? |
| 07.04.2008 | ? | ? | Laplace transforms. Chapter 8: 8.8 and 8.9.? | ? |
| 08.04.2008 | ? | ? | Laplace transforms with examples. Chapter 8: 8.10 and partly 8.11.? | No colloquium on Wednesday April 9th (replaced by the colloquium March 26th). Problems on Laplace Transforms Wednesday April 16th.? |
| 14.04.2008 | ? | ? | Last lecture on Laplace transforms with examples. Comments on the home exam. ? | ? |
| 15.04.2008 | ? | ? | Tensors. Highlights from Chapter 10, 10.1-10.5.? | Problems for Wednesday April 16th: Chapter 8: 8.4, 8.5, 8.11, 8.21, 9.25, 9.31, 9.38, 10.15, 11.7.? |
| 21.04.2008 | ? | ? | Group theory. Textbook chapter 3, 3.13. Lecture notes.? | ? |
| 22.04.2008 | ? | ? | Continuing group theory.? | Problems for Wednesday 23. April: Tensors, chapter 10, 4.2, 4.5, 5.7, 5.9a,b, 5.10, 5.11, 5.13 (f,g,h). Laplace: Chapter 8: 10.17, 11.11.? |
| 28.04.2008 | ? | ? | Groups and representations.? | ? |
| 29.04.2008 | ? | ? | Final lecture on groups and representations.? | Problems for Wednesday 30. April: Textbook chapter 3: 13.1, 13.3 13.4, 13.5, 13.6, 13.8, 13.12.? |
| 05.05.2008 | ? | ? | Partial differential equations (chapter 13). Separation of variables (p. 619-622). The wave equation (13.4).? | ? |
| 06.05.2008 | ? | ? | The diffusion equation (13.3). Solution in terms of Fourier series.? | Problems for Wednesday May 7th: Problems 20, 21 and 22 from extra problems (see message). If time also problem 19.? |
| 19.05.2008 | ? | ? | Partial diff. equations, non Cartesian coordinates. 13.5-13.7 (somewhat simplified).? | ? |
| 20.05.2008 | ? | ? | Solutions of partial diff. equations with integral transforms, 13.9 (somewhat extended).? | Problems for Wednesday May 21th: Chapter 13: 3.3, 3.6, 4.2, 4.5, 6.3, 9.5.? |
| 28.05.2008 | ? | ? | Last lecture was May 20th.? | Problems for Wednesday May 28th: Problems 23 and 24 from "extra problems". Greens Functions chapter 13, problems 8.6 and 8.7.? |
Undervisningsplan
Publisert 2. jan. 2008 14:11
- Sist endret 21. mai 2008 18:27