# Math 5334 & 6333: Homework Resources

Instructor: Thomas W. Carr

### Math 5334

AssignmentDescription SectionProblems Due Date
1 Boundary Conditions 1.3 1.3.2 Tues., Sept. 3
- Equilibrium 1.4 1.4.1f & g, 1.4.3
- Two & Three Dimensions 1.5 1.5.5, 1.5.9a
2 Linearity, Superposition 2.2 2.2.3 Tues., Sept. 10
- Separation 2.3 2.3.1a & b
- Boundary Value Problems 2.3 2.3.2e & f
3 Heat Equ. & Separation 2.3 2.3.3b, 2.3.7 page1, page2 Tues., Sept. 17
- Separation (cont.) 2.4 2.4.1b, 2.4.2 pssst....
4 Laplace Equ. & Separation 2.5 2.5.1a, 2.5.6a, 2.5.15a Tuesday, Sept. 24 pssst....
Exam 1 Heat, Laplace & Separation Chap 1 & 2 All of them Thursday, Sept 26
5 Fourier Series 3.3 3.3.1e, 3.3.3b Tuesday, Oct. 8 pssst....
- Eigenfunction Expansions 3.4 3.4.9, 3.4.12
- Vibrating String Derivation 4.3 4.3.2
7 Vibrating String w/ Fixed Ends 4.4 4.4.3, 4.4.5 Thursday, Oct. 17
- Sturm-Liouville Intro 5.3 & 5.4 5.3.3, 5.3.7, 5.4.5 pssst....
8 Sturm-Liouville Properties 5.5 5.5.1c, 5.5.2, 5.5.11 Tuesday, Oct. 22
9 S.L. & BC's of 3rd kind 5.8 5.8.5 page1 page2 Tuesday, Oct. 29
Exam 2 Fourier, Strings and Sturm-Liouville Chap 3,4 & 5 All of them Thursday, Oct. 31
10 Heat Equ. in 2D-space 7.3 7.3.3 Tuesday, Nov. 12
11 Higher-D eigenvalue problems 7.5 7.5.1, 7.5.2 (7.6.1) Tuesday, Nov. 12
12 Circular Domains 7.7 7.7.3, 7.7.7, 7.7.10 Tuesday, Nov. 19 pssst....
13 Prop. of Fourier Trans. 10.3 10.3.5, 10.3.6, 10.3.11 Tuesday, Nov. 26
- Fourier Trans. & Heat Equ. 10.4 10.4.3, 10.4.4
14 More Fourier Transforms 10.6 10.6.1(b), 10.6.10, 10.6.11(c), 10.6.13

### Math 6333

AssignmentDescription SectionProblemsDue Date
1 Eigenfunction Expansions 8.3 & 8.4 8.3.1(f,g), 8.4.2 Thu, 1/30
Green's Functions 9.3 9.3.1
2 Green's Functions 9.3 9.3.6(a,b), 9.3.9, 9.3.12(a,b), 9.3.13 pssst.... Thu, 2/6
3 Adjoint Operator 5.5 5.5.11 (see above for solutions) pssst.... Tue, 2/18
Modified Green's F. 9.4 9.4.2-I, 9.4.2-II, 9.4.2-III, 9.4.7-I, 9.4.7-II
Exam 1 page1, page2, page3, page4 Thu, Feb 20
4 G.F. for Poisson's Equ. 9.5 9.5.5, 9.5.7 9.5.9(b), 9.5.10(a,b), 9.5.13 pssst.... Thu, Mar 6
5 G.F. for Wave Equation. 11.2 11.2.4, 11.2.6, 11.2.7a, 11.2.7b, 11.2.10 Tue, Mar 25
6 G.F. for Heat Equation. 11.3 11.3.2c, 11.3.3 Tue, Apr 1
Exam 2 solutions Thu, April 3
7 Characteristics (1-dir) 12.2 12.2.1, 12.2.4, 12.2.5d Thu, April 10
8 Boundary reflections 12.4 12.4.6 Tue, April 22
Quasilinear PDE 12.6 12.6.4, 12.6.7a, 12.6.9a, 12.6.6a, 12.6.19(a,b)
9 Dispersion 14.2 14.2.1(b,c), 14.2.5, 14.2.9(c) Thu, May 8
M. of Stationary Phase 14.5 14.5.2, 14.5.3
10 Slowly Varying Waves 14.6 14.6.3 -
Envelope Equations 14.7 14.7.3(b)
Exam 3 Thu, May 1