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| Problems in bold are for 785 students only | |||||
| Aug 28 Th | Introduction. Begin review of
basics. Vectors |
1.1 | Ch 1 P1,3,5,7,10,11,21 | Sep 4 |
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| Sep 2 Tu | Scalar and Vector Fields. | 1.2 | |||
| Sep 4 Th | Curvilinear coordinates | 1.3 | Ch1 p24,25c,26b,27, 30a | Sep 11 |
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| Sep 9 Tu | More... | 1.3-6 | |||
| Sep 11 Th | Complex variables and their use in physics | 2.1 | |||
| Sep 16 Tu | Complex functions. Branch cuts. Calculus with complex variables. |
2.2 | Ch 2 P2,6,7a,10,11,14,16b | Sep 18 |
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| Sep 18 Th | Integration- Cauchy Theorem. Complex Series |
2.2 , 2.3 | |||
| Sep 23 Tu | Use of complex variables in fluid
flow. Poles and zeroes. |
2.4, 5 | |||
| Sep 25 Th | The residue theorem. | 2.6 ,7 |
Ch2 P19, 21c, 22d, 23b, 24b,d, 26a&c, . | Sep 25 | |
| Sep 30 Tu | Residue Theorem |
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| Oct 2 Th | Residue theorem- applications |
Ch 2 P 27a 28b, 29a, 30c | Oct 2 | ||
| Oct 7 Tu | Residue theorem- more. Conformal
mapping. |
2.8 | |||
| Oct 9 Th | MID-TERM EXAM. |
Ch 1-2 | Ch 2 p 31a, 33 | Oct 9 | |
| Oct 14 Tu | The gamma function | Ch 2.9 | Ch 2 p38 |
Oct 16 | |
| Oct 16 Th | Quick review of Differential eqns. - series soln. |
Ch 3 4.1-4.2 | |||
| Oct 21 Tu | More on DEs | 4.3, 4 | Ch 3 P 8a, 21, 29, 31 | Oct 23 | |
| Oct 23 Th | Fourier Series. | 4.5 | |||
| Oct 28 Tu | Sine and cosine series. Convergence. | 5.1,2,3 | |||
| Oct 30 Th | Laplace transforms. | 5.4,5 | Ch 4 P3, 5, 6, 9, 11 | Oct 30 | |
| Nov 4 Tu | More tricks , Convolution | 5.6 , 7 | |||
| Nov 6 Th | The Mellin Inversion integral. Examples. | 5.7 | Ch 4 P14, 18, 19 Ch 5 P 1a,e 2,4 |
Nov 6 | |
| Nov 11 Tu | Delta functions | 6.1 | |||
| Nov 13 Th | More rigorous math on delta fns. | 6.2,3 | Ch 5 P 5a, 6a, 8, 12, 14b, 19 |
Nov 13 | |
| Nov 18 Tu | Sequences and series Distributions in N dimensions |
6.4,5,6 | Ch 5 P 21, 24 Ch 6 P1b, 2, 3b, 5, 6b, 11 |
Nov 20 | |
| Nov 20 Th | Fourier transforms. |
7.1,2,3 | |||
| Nov 25 Tu | Examples. Power spectra |
7.4,5,6 |
Ch 6 P 18, 20, 28 Ch 7 P 1e,f |
Nov 25 | |
| Nov 27 Th | THANKSGIVING - NO CLASS | ||||
| Dec 2 Tu | Sine and Cosine transforms | 7.7 | Ch 7 P 2a, 4, 7, 11, 15 | Dec 4 | |
| Dec 4 Th | Sturm-Liouville Theory | 8.1,2 | |||
| Dec 9 Tu | Spherical problems, Legendre function | 8.3 | Ch 7 18, 21 Ch 8 P2(i), 4, 6 |
Dec 11 | |
| Dec 11 Th | Bessel functions | 8.4 | |||
| Dec 11 Th | FINAL EXAMINATION HANDED OUT in class |
If this schedule poses a hardship for you, you | |||
| Dec 15 M | Final Exam due noon | must notify me by Nov 27. | |||
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