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| Aug 27 Tu | Introduction. Begin review of
basics. Vectors |
1.1 LB Interlude I |
Ch 1 P3 | Aug 29 |
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| Aug 29 Th | Scalar and Vector Fields. | 1.2 | ||||
| Sep 3 Tu | Curvilinear coordinates | 1.3 | ||||
| Sep 5 Th | More on vectors and curvilinear coordinates | 1.3-6, A1-A3 | Ch1 p24 | Sep 5 | ||
| Sep 10 Tu | Complex variables and their use in physics | 2.1 Circuit review |
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| Sep 12 Th | Complex functions. Branch cuts. Calculus with complex variables. |
2.2 | Ch 2 P14 |
Sep 12 | ||
| Sep 16 Mon | LAST DAY TO ADD/DROP CLASSES | |||||
| Sep 17 Tu | Integration- Cauchy Theorem. Complex Series |
2.3 | |
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| Sep 19 Th | Laplace's eqn Use of complex variables in fluid flow. Poles and zeroes. Residues |
2.4,2.5,2.6 | Ch2 P
19 (check errata for p19) |
Sep 19 | ||
| Sep 24 Tu | The Residue Theorem | 2.7.1,2.7.2 |
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| Sep 26 Th | Residue theorem- applications | 2.7.3,2.7.4 | Ch 2 P 33 | Sep 26 |
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| Oct 1 Tu | Residue theorem- applications |
2.7.3,4 |
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| Oct 3 Th |
Conformal mapping. The gamma function |
2.8,9 | Ch2 p31a | Oct 4 | ||
| Oct 8 Tu | Quick review of Differential eqns. | 3.1,3.2,3.3.1 | |
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| Oct 10 Th | Diff eqns: series soln. | 3.3 |
Ch 2 p 39 | Oct 10 | ||
| Oct 15 Tu | MID-TERM EXAM |
Ch 1-2 |
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| Oct 17 Th | More on DEs, numerical methods | 3.4, 3.5 | Ch 3 P 24 | Oct 17 | ||
| Oct 22 Tu | Fourier Series. Sine and cosine series. | 3.5, 4.1-3 | Ch 3 p28
(Group
project) Start now! |
Nov 12 | ||
| Oct 24 Th | Use of FS in physics.
Convergence. Revised Example |
4.4-5 |
Ch 4 P8 Evaluate the first term analytically. You may use Mathematica to calculate the remaining terms. | Oct 24 |
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| Oct 29 Tu | Laplace transforms. | 5.1-4 | ||||
| Oct 31 Th | Convolution; The Mellin Inversion integral. | 5.5,6 | Ch 4 P 18 | Oct 31 | ||
| Nov 5 Tu | Examples in physics. | 5.7 | ||||
| Nov 7 Th | Delta functions | 6.1,2 | Ch 5 P16 | Nov 7 | ||
| Nov 12 Tu | More rigorous math on delta fns. Sequences and series, |
6.3,4 | ||||
| Nov 12 | Ch3 P 28 | Nov 12 | ||||
| Nov 14 Th | Distributions in N dimensions | 6.5,6 |
Ch 6 P 5 | Nov 14 | ||
| Nov 19 Tu | Fourier transforms | 7.1,2,3 |
Nov 21 Th | Use of FT in solving Diff eqns | 7.4,5 | Ch 6 P29 | Nov 21 |
| THANKSGIVING BREAK- NO CLASSES |
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| Dec 3 Tu |
Power spectra, Sine and Cosine transforms | 7.6,7 | |
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| Dec 5 Th | Sturm-Liouville Theory | 8.1,8.2,8.3.1 | Ch 7 P 13 | Dec 6 | ||
| Dec 10 Tu | Legendre functions, spherical harmonics | 8.3 | ||||
| Dec 12 Th | Bessel functions Last class |
8.4 | Ch 8 P6 (Check the "errata") | Dec 13 | ||
| Dec 12 Th | Take home exam handed out | |||||
| Dec 16 Mon | 3 pm Take-home Final Exam due | |||||
| Dec 19 Th |
FINAL EXAMINATION: In class exam 12:30 pm -2:30 pm |
If this schedule poses a hardship for you, | ||||
| you must notify me by Nov 8. | ||||||
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