| Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
| 16.01.2012 | Leif Veseth? | ?467? | Complex functions, related to sections 2.8-2.14 in the textbook.? | ? |
| 17.01.2012 | ? | ? | Continues with complex functions and series. Sections 2.6-2.15 in the textbook.? | Problems for Thursday January 26th: Textbook chapter 2: 7.14, 7.16, 9.26, 9.27, 10.21, 10.31, 11.12, 12.11, 14.23, 17.6, 17.22, 17.30.? |
| 23.01.2012 | ? | ? | Analytic functions. The Cauchy-Riemann equations. Chapter 14, 14.1-14.2 in the textbook.? | The lectures on January 23rd and 24th will give a more comprehensive discussion of paragraphs 14.1-14.3.? |
| 24.01.2012 | ? | ? | Integrals of complex functions. Cauchys theorem and Cauchys integral formula (14.3).? | ? |
| 30.01.2012 | ? | ? | Cauchys integral formula with examples (14.3). The Taylor series.? | The lectures on January 30th and 31st will give a more comprehensive discussion of paragraphs 14.3-14.4 in the textbook.? |
| 31.01.2012 | ? | ? | The Laurent series with examples (14.4). Zeros and poles of complex functions.? | Problems for Thursday February 2nd: Chapter 2: 17.25, 17.28, 17.32. Chapter 14: 1.11, 1.20, 2.27, 2.46, 2.63.? |
| 06.02.2012 | ? | ? | The residue theorem with examples. 14.5 and 14.6 in the textbook.? | ? |
| 07.02.2012 | ? | ? | Applications of the residue theorem. 14.7 in the textbook. Problems 8 and 9 from "extra problems" (see message). You may drop example 5 and the rest of 14.7.? | Problems for Thursday February 9th: Chapter 14: 3.17, 3.18, 3.19, 3.20, 3.22, 3.23, 4.6, 4.9, 4.11.? |
| 13.02.2012 | ? | ? | End of complex analysis. Principal value of an integral. Problems 10 and 11 from "extra problems". Start differential equations, Chap. 8: 8.3 and 8.4.? | ? |
| 14.02.2012 | ? | ? | Homogeneous differential equations of second order (8.5). Lecture note will soon be on the net (in Norwegian). ? | Problems for Thursday February 16th: Chap. 14: 6.9, 6.19, 6.28, 7.7, 7.9, 7.11, 7.13.? |
| 20.02.2012 | ? | ? | The Euler-Cauchy equation. Inhomogeneous diff. equations (8.6-8.7, lecture note).? | ? |
| 21.02.2012 | ? | ? | Continues with inhomogeneous equations with examples.? | Problems for Thursday February 23rd: Chap. 14: 7.17, 7.24. Chap. 8: 3.3, 3.11, 5.11, problems 12a,b,c from "extra problems". NB! Error in problem 5.11, should be 9y.? |
| 27.02.2012 | ? | ? | Greens functions with examples (lecture note on diff. equations).? | ? |
| 28.02.2012 | ? | ? | Solution of diff. equations in terms of series expansion. Chap.12, 12.1, 12.2, 12.11, and lecture note on diff. equations.? | Problems for Thursday March 1st: Chapter 8: 6.3, 6.11, 6.23, 7.17, 7.18, 7.22.? |
| 05.03.2012 | ? | ? | Continues with series solution of diff.equations. Examples: The Legendre and Hermite diff. equations.? | ? |
| 06.03.2012 | ? | ? | Fourier series. Chapter 7, 7.1-7.9.? | Problems for Thursday March 8th: Chap.8: 12.16, 12.18, 13.8. Chap.12: 1.9, 11.2, 11.6, 11.8.? |
| 12.03.2012 | ? | ? | Continues with Fourier series (complex form). Examples. Start Fourier transform (7.12).? | ? |
| 13.03.2012 | ? | ? | Fourier transforms. Chapter 7: 7.12. Also chapter 8: 8.10-8.11.? | Problems for Thursday March 15th: Chapter 7: 5.7, 5.8, 8.16, 9.6, 9.11.? |
| 19.03.2012 | ? | ? | Continues with Fourier transforms and examples. The Dirac delta function.? | ? |
| 20.03.2012 | ? | ? | Laplace transforms. Chapter 8: 8.8-8.9.? | Problems for Thursday March 22nd: Chapter 7: 9.15,12.1, 12.6, 12.11, 12.22, 12.25. Chapter 8: 11.14, 11.15. NB! Misprint in problem 12.22, see Eq. (17.4) in chapter 12 for correct definition of the Bessel function.? |
| 26.03.2012 | ? | ? | Continues with Laplace transforms and examples.? | ? |
| 27.03.2012 | ? | ? | Last lecture on Laplace transforms with examples.? | Problems for Thursday March 29th: Chapter 8: 8.4, 8.5, 8.11, 8.21, 9.11, 9.25, 9.31, 9.38. 10.15.? |
| 10.04.2012 | ? | ? | ? | No lecture Tuesday April 10th, no group on Thursday April 12th. (Home exam).? |
| 16.04.2012 | ? | ? | Tensors. Highlights from chapter 10, 10.1-10.5. Lecture note (important!).? | ? |
| 17.04.2012 | ? | ? | Calculus of variations. Highlights from chapter 9, 9.1-9.5.? | Problems for Thursday April 19th: Laplace, Chapter 8: 11.7, 10.17, 11.11. Tensors: Chapter 10: 4.2, 4.3, 4.4, 4.5, 5.7, 5.9a,b. ? |
| 23.04.2012 | ? | ? | Continues with calculus of variations, examples. Start partial differential equations, chapter 13. Separation of variables (p.619-622).? | ? |
| 24.04.2012 | ? | ? | The wave equation (13.4) with examples.? | Problems for Thursday April 26th: Chapter 10: 5.10, 5.11, 5.13f,g,h. Chapter 9: 2.1, 2.5, 3.6, 5.11.? |
| 30.04.2012 | ? | ? | ? | No lecture on Monday April 30th, no group on Thursday May 3rd. (Second oblig).? |
| 07.05.2012 | ? | ? | Partial diff. equations. Separation of variables, more than one spatial dimension. Two dimensional wave equation. The diffusion equation (13.3). Solution in terms of Fourier series.? | ? |
| 08.05.2012 | ? | ? | Partial diff. equations. Non-Cartesian coordinates (13.5-13.7, somewhat simplified, lecture abstracts).? | Problems for Thursday May 10th: Chapter 13: 4.2, 4.5, 4.8, 3.3, 3.6.? |
| 14.05.2012 | ? | ? | Solution of partial differential equations by use of integral transforms. 13.9 (somewhat extended).? | ? |
| 15.05.2012 | ? | ? | Partial differential equations and Greens functions. End of 13.8 (somewhat extended). Orthogonal sets of functions. Lecture note. Last lecture!? | Next group will be Tuesday May 22nd (in the lecture time and place), and the last group Thursday May 31st.? |
| 22.05.2012 | ? | ? | ? | Problems for Tuesday May 22nd: Chapter 13: 5.9, 6.3, 9.5, problem 25 from "extra problems".? |
| 31.05.2012 | ? | ? | ? | Problems for Thursday May 31st: Problems 23 and 24 from "extra problems". Greens functions, chapter 13, 8.6 and 8.7. Problem at the end of the lecture note "Orthogonal sets of functions", cf. message. Last group.? |
Undervisningsplan
Publisert 11. jan. 2012 15:45
- Sist endret 18. mai 2012 11:53