MATH 405: ADVANCED CALCULUS FOR ENGINEERS AND SCIENTISTS I, Fall 2008, section 1 and 2, lecture schedule

Below is a tentative schedule for the semester. Suitable adjustments will be made if needed.
Lectures Chapters Topics
Aug. 25,27,29 9.1-9.5, 9.7, 9.8 Introduction, vector calculus (review), gradient, directional derivatives, divergence
Sept. 3,5 9.9 , 10.1 curl, line integrals
Sept. 8,10,12 10.2, 10.4, 10.5 path independence, Green's theorem, surfaces
Sept. 15,17,19 10.6, 10.7, 10.8 surface integrals, triple integral, Gauss's divergence theorem and applications
Sept. 22,24,26 10.9, 5.1, 5.2 Stokes's theorem, Review of ODE, power series method
Sept.29,Oct. 1,3 review, exam I , 5.3 Review(M), exam I(W), Legendre's equation and Legendre polynomials
Oct. 6,8,10 5.4, 5.5 Frobenius method, Bessel's equation and Bessel functions
Oct. 13,15,17 5.6, 5.7, 5.8 Bessel's functions of the second kind, Sturm-Liouville problems, orthogonal functions
Oct. 20,22,24 11.1, 11.2, 11.3 Fourier series
Oct. 27,29, 31 11.5, 11.6, 11.7 Forced oscillations, Approximation by trig polynomials, Fourier integral
Nov. 3,5, 7 review exam II, 11.8 Review(M), exam II(W), Fourier cosine and sine transform
Nov. 10,12,14 11.9, 12.1-2, 12.3 Fourier transform,FFT, basic concepts of PDEs, separating variables
Nov. 17, 19, 21 12.3, 12.4, 12.5 Use of Fourier series, D'Alembert's solution of the wave equation, Heat equations: by Fourier series
Nov. 24, 26, 28 no classes Thanksgiving Holiday
Dec. 3, 5, 7 12.6, 12.7, 12.8 Fourier transform and heat equation, Membrane, 2-d wave equation
Dec. 10, 12, 14 review, review, review Review