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| DATE |
ASSIGNMENT |
| 02/01 |
Differential Equation Review
Worksheet Review & Preparation, Part 1 [Due 02/03] Review & Preparation, Part 2 Section 0.1, p. 12 #1, 4, 11, 12, 13, 22(b), Project 0.1. [Due 02/05] |
| 02/03 |
Variation
of
Parameters Handout Section 0.2, p. 20: #1, 4, 5, 9, 14, 15, 18, 19 [Due 02/10] |
| 02/05 |
Finish the Heat Equation BVP from class
[Have done by Monday] Section 0.3, p. 34: #1, 3, 7, 8, 11, 14 [No due date yet.] |
| 02/08 |
Boundary
Value Problems - Applications Section 0.3, p. 34: #1, 3, 7, 8, 11, 14, 4, 5, 2, 13 [Due 02/12] |
| 02/10 |
Section 0.4, p. 42: #1(also determine
whether the singular points are regular or irregular) |
| 02/12 |
Section 0.4, p. 42: 2, 3, 4, 5 |
| 02/15 |
Discuss Numerical Methods |
| 02/17 |
Maple Airy
Example Maple BC Example Section 7.1, p. 418: #1, 3, 10, 5, 11 |
| 02/19 |
Section 1.1, p. 55: #1, 2, 4, 5, 6, 7 |
| 02/22 |
Section 1.2, p. 63: #1(c), 4, 5,
10(b,d), 7(b,c), 11(b,d) |
| 02/24 |
Section 1.3, p. 70: #1(a,c,e), 2, 3,
4, 5, 6, 9 |
| 02/26 |
Operations
on Fourier Series Read Section 1.5. For each theorem 1-6, state the theorem and then explain it in your own words. Section 1.5, p. 82: #1, 2, 5, 9, 10 |
| 02/29 |
Complex
Fourier Series Section 1.8, p. 109: #6 |
| 03/02 |
Section 2.1, p. 133: #2, 3, 5, 6 |
| 03/04 |
Section 2.2, p. 139: #3, 4, 5, 6, 8, 9 |
| 03/07 |
Start Section 2.3 [Section 2.3 will not
be on the test] |
| 03/09 |
Review for Exam 1 |
| 03/11 |
Exam 1 Exam 1 Take-Home Problem |
| 03/14 |
Section 2.3, p. 148: #2, 4, 5, 8,
Project 2.2 Finish: Heat Equation: Insulated Bar Do the orthogonality integrals at the end of the worksheet. |
| 03/16 |
Heat
Equation: Insulated Bar -- Supplemental Page 4(a) Section 2.4, p. 153: #2, 3, 5, 8 [Due 04/04] Also show the orthogonality conditions on p.6 of the Insulated Bar worksheet |
| 03/18 |
Heat
Equation: Different Boundary Conditions Finish Worksheet Section 2.5, p. 162: #3, 6, 7, 9, Project 2.5(a,b) [Due 04/04] |
| 03/28 |
Section 2.6, p. 168: #2, 3, 6, 7, 8,
9 |
| 03/30 |
Generalization:
Sturm-Liouville Problems Section 2.7, p. 174: #1, 4 |
| 04/01 |
Section 2.7, p. 174: #7, 11 Section 2.8, p. 178: #1, 3, 4, 5 |
| 04/04 |
Section 1.9, p. 104: #1(b), 2, 5 Section 2.10, p. 186: #1, 3, 4, 5 [Due 04/13] |
| 04/06 |
Section 2.11, p. 193: #2, 3 [Due
04/13] Section 1.10, p. 109: #3, 4(b) |
| 04/08 |
Section 7.2, p. 423: 5, 6, 7 [Find
the replacement equations and solve for the m+1 term] Maple Worksheet for Solving the Heat Equation Numerically -- Fixed End Temperatures |
| 04/11 |
Section 7.2, p. 423: 5, 6, 7, 8, 9
[Find the replacement equations; Find the stability
bound on r; Solve the equations numerically using
Maple.] Maple Worksheet for Solving the Heat Equation -- Convection on One End |
| 04/13 |
Section 3.1, p. 218: #3 Section 3.2, p. 224: #1, 2, 4, 5, 6, 7, 8, 9, 14 |
| 04/15 |
Wave
Equation: D'Alembert Solution No New Homework |
| 04/18 |
Review for Exam 2 over Sections 2.3-2.11,
1.9-1.10, 7.2 Note: Sections 3.1 & 3.2 will not be Exam 2 |
| 04/20 |
Exam 2 Exam 2 Take-Home Problem |
| 04/22 |
Class Cancelled |
| 04/25 |
Go over Exam Section 3.3, p. 233: #5, 6, 8, 9, 10, 11 |
| 04/27 |
Maple
Worksheet for Solving the Wave Equation Numerically --
Fixed Ends Section 7.3, p 428: #1, 2(Find the d’Alembert Solution by hand), 3, 9 |
| 04/29 |
Finish solving the potential equation
problems for u2, u3, & u4 |
| 05/02 |
Section 4.1, p. 263: #1, 2, 3 Section 4.2, p. 269: #1, 7, 2, 3, 5 |
| 05/04 |
Section 4.3, p. 276: #1(a,c), 10 |
| 05/06 |
Section 4.5, p. 293: #3, 5[#3], 9,
10, 11, 12 |
| 05/09 |
Polynomial Solutions to the Potential
Equation Derivation of the Potential Equation in Polar Coordinates |
| 05/11 |
Review |
| 05/13 |
Review |
| Click link for Finals Week Schedule and Office Hours | |
| 05/16 |
Monday Reading Day Office Hours 2:00-3:00 |
| 05/17 |
Tuesday Office Hours 3:30-4:30 |
| 05/18 |
Wednesday Office Hours 12:30-1:30 (Optional) Review Session 2:30-3:30 pm |
| Thursday MTH 342 Final Exam 1:00-3:00pm |