Math 5420 -- Spring 2007

Syllabus

Notes
Date Date
1/9 Notes 1 1/11 Notes 2
1/16 Notes 3 1/18 Notes 4
1/23 1/25 Computer Lab
1/30 Sturm Liouville Problems 2/1 Eigenfunctions and Orthogonality
2/6 Notes 5 2/8
2/13 Laplace Transforms 2/15 Notes 6
2/20 Monday Schedule -- no class 2/22 Test #1 Review
2/27 Test 1 3/1 Fourier Transforms
3/6 3/8
3/13 SPRING 3/15 BREAK
3/20 Computer Lab FFT 3/22
3/27 3/29 Dr. Le lecture Notes
4/2 Green's Functions 4/4 Green's Functions
4/9 Waves 4/11 Method of Characteristics
4/16 Characteristics 4/18 Green's functions Notes and Conformal mapping Notes
4/23 Finish up 4/25 Final review: Two more characteristics problems

Homework
HW SET #1 (Due 1/19)
In-class exercise from Notes 1.
p.345 # 2(all parts)
p.346 # 5, 6, 9
p.365 # 2, 10, 11

HW SET #2 (Due 2/2)
Fourier series exercises
p.381-382 #1 (all parts)
Solve p.381 #1a for k=1 and f(x)=1-cos(pi*x) and plot

HW SET #3 (Due 2/20)
p.225 #3,5,8
homework problem and hints

HW SET #4 (Due 3/9)
p.396 #4,5(c),7
Also do p.396 #7 for the specific case: c=-2, f(x)=exp(-4(x+2)^2)
Plot several solutions and discuss

HW SET #5 (Due 4/6 )
p.398 #15
p.415 #3
Solve the Laplace equation in the first quadrant with u_x=f(y) along the positive y-axis and u_y=g(x) along the positive x-axis.

HW SET #6 (Due 4/20 )
p.429 #3,5
p.434 #2
p.453 #6

Computer Lab
Computer Lab #1 - heat equation and Matlab basics - due 1/31
Computer Lab #2 - FFT - due 3/23
Computer Lab #3 - Conformal Mapping - due 4/26
(ENGR 305)
You may find this guide useful: MATLAB's Getting Started Guide.


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