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Due |
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from
text |
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| Aug 23 Tu | Introduction. Begin review of
basics. Vectors |
1.1 LB Interlude I |
Ch 1 P2, 4, 6, 10, 11, 14 | Aug 30 |
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| Aug 25 Th | Scalar and Vector Fields. | 1.2 | ||||
| Aug 30 Tu | Curvilinear coordinates | 1.3 | ||||
| Sep 1 Th | More on vectors and curvilinear coordinates | 1.3-6 | Ch1 p5, 21, 23, 25b, 26b, 29, 30a | Sep 6 | ||
| Sep 6 Tu | Complex variables and their use
in physics LAST DAY TO DROP CLASSES |
2.1 | ||||
| Sep 8 Th | Complex functions. Branch cuts. Calculus with complex variables. |
2.2 | Ch 2 P2, 4, 6, 8a, 11,
14 Circuit review |
Sep 13 | ||
| Sep 13 Tu | Integration- Cauchy Theorem. Complex Series |
2.2 , 2.3 | |
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| Sep 15 Th | Complex Series Use of complex variables in fluid flow. |
2.3 | Ch2 P15, 16a
19, 21c, 22b,e<(check errata
for p19) |
Sep 20 | ||
| Sep 20 Tu | Poles and zeroes. LAST DAY TO ADD CLASSES |
2.4, 5 |
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| Sep 22 Th | The Residue Theorem | 2.6 ,7 | Ch 2 P 23c, 24c,d, 28b,c | Sep 27 |
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| Sep 27 Tu | Residue theorem- applications |
2.6,7 |
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| Sep 29 Th | Residue theorem- more. Conformal mapping. |
2.8 | Ch 2 p 27b,c, 29b 30a | Oct 5 | ||
| Oct 4 Tu | The gamma function . Quick review of Differential eqns. | 2.9 Ch 3 |
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| Oct 6 Th | Quick review of Differential eqns. - series soln. |
Ch 3 |
Ch 2 p 30b, 31b 32b,38 | Oct 11 | ||
| Oct 11 Tu | More on DEs, numerical methods | Ch 1-2 |
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| Oct 13 Th | MID-TERM EXAM |
Ch 3 |
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| Oct 18 Tu | Fourier Series. Sine and cosine series. | 4.1-3 | Ch 3 P 4, 16, 25, 31 | Oct 18 |
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| Oct 20 Th | Use of FS in physics.
Convergence. Revised Example |
4.4-5 |
Ch 3 p28 (Group project) Start now! | Due Nov 8 |
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| Oct 25 Tu | Laplace transforms. | 5.1-5 | Ch 4 P7, 9, 18 | Oct 25 |
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| Oct 27 Th | Tricks for inversion, Convolution | 5.6, 7 | ||||
| Nov 1 Tu | The Mellin Inversion integral. Examples. | 5.7 | Ch 4 P
19 Ch 5 P 1c, g, 5b |
Nov 1 |
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| Nov 3 Th | Delta functions | 6.1,2,3 | ||||
| Nov 8 Tu | More rigorous math on delta fns. |
6.3,4 |
Ch5 P 6a, 9, 14b, 19 Ch3 P 28 |
Nov 8 |
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| Nov 10 Th | Sequences and series Distributions in N dimensions |
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| Nov 15 Tu | Fourier transforms
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6.4,5,6 |
Ch 6 P 1b, 3b, 5, 6b. | Nov 15 | ||
| Nov 17 Th | Examples. Use of FT in solving PDEs. | 7.1,2,3 |
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| THANKSGIVING BREAK- NO CLASSES |
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| Nov 29 Tu |
Power spectra Sine and Cosine transforms |
7.4,5,6 7.7 |
Ch 6 P 18b, 20, 24
Ch 7 P 1c, 2c, 7 In P 7, plot versus w/w0 not wT |
Nov 29 |
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| Dec 1 Th | Sturm-Liouville Theory | 8.1,2 | ||||
| Dec 6 Tu | Spherical problems, Legendre functions | 8.3 | |
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| Dec 8 Th | Spherical Harmonics; Bessel
functions Last class |
8.4 | Ch 7 P 11, 25 Ch 8 P2(ii), 6 |
Dec 8 | ||
| Dec 13 Tu |
FINAL EXAMINATION: In class exam 10:45 am -1:15 pm Take home exam handed out |
If this schedule poses a hardship for you, you | ||||
| Dec 15 Th |
Take-home Final Exam due 48 hrs
after you received it. |
must notify me by Nov 8. | ||||
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