## Class schedule Physics 785 Fall 2019

 Date Topic Reading Problems Due from text Aug 27 Tu Introduction. Begin review of basics. Vectors 1.1 LB Interlude I Ch 1 P3 Aug 29 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 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 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 Sep 26 Th Residue theorem- applications 2.7.3,2.7.4 Ch 2 P 33 Sep 26 Oct 1 Tu Residue theorem- applications 2.7.3,4 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 Oct 10 Th Diff eqns: series soln. 3.3 Ch 2 p 39 Oct 10 Oct 15 Tu MID-TERM EXAM Ch 1-2 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 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 Nov 25-29 THANKSGIVING BREAK- NO CLASSES Dec 3 Tu Power spectra, Sine and Cosine transforms 7.6,7 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.