Week | Dates | Topics | Problems |
1 | 8/27-8/31 | Background Solutions and IVPs Direction Fields Separable Equations |
1.1: 1-9, 15 1.2: 1, 3, 9, 11, 20, 22 1.3: 1, 5 2.2: 1, 3, 4, 7, 9, 13, 18, 23, 33 |
2 | 9/5-9/7 | Linear Equations Exact Equations |
2.3: 1, 3, 6, 9, 13, 17, 22, 23, 35 2.4: 9-29 (odd) |
3 | 9/10-9/14 | Compartmental Analysis Newtonian Mechanics Euler's Method |
3.2: 1-9 3.4: 1, 2, 7, 8 1.4: 1, 7, 9, 11 3.6: 1, 5, 7, 19 |
4 | 9/17-9/21 | Taylor and Runge-Kutta Methods Homogeneous Linear Equations Auxiliary Equations w/ Complex Roots |
3.7: 1, 3, 5, 7, 19 4.2: 1-6, 9, 14-17, 28-32 4.3: 1, 3, 4, 6, 9, 12, 16, 19, 21, 24, 28 |
5 |
9/24-9/28 | Review and Catch Up | Ch. 2 (p. 81): 1-39 (odd) Ch. 4 (p. 230): 1-9 (odd), 15, 29, 33 |
EXAM 1: Friday, September 28 | |||
6 |
10/1-10/5 |
Undetermined
Coefficients Superposition Variation of Parameter |
4.4: 1, 3-6, 9, 15, 17-23, 29, 31 4.5: 5, 7, 9, 11, 16, 17, 20, 26, 33, 34 4.6: 1, 3, 5, 10, 13, 16, 19, 21, 24 |
7 |
10/8-10/12 |
Mass-Spring
Oscillator Mechanical Vibrations |
4.1: 1, 4, 5, 6 4.8: 1, 3, 5, 7 4.9: 1, 3, 8, 10, 11 |
8 |
10/15-10/19 | Elimination Methods Introduction to the Phase Plane |
5.2: 3, 5, 7, 8, 17, 19, 23, 31, 32 5.4: 1, 2, 3, 5, 7, 8, 11, 13 |
9 |
10/22-10/26 | Introduction to Laplace Transforms | 7.2: 1, 3, 5, 8, 10, 13, 16-18 7.3: 1, 5, 7, 9, 13, 19, 21, 25, 29, 33 7.4: 1-10 |
10 |
10/29-11/2 | More Laplace Transforms Solving IVPs with Laplace Transforms |
7.4: 13, 15, 21, 23, 25 7.7: 5, 8, 9 7.5: 1-13 odd, 15, 18, 23 7.6: 1-7 (odd), 8, 15, 17, 19, 33 , 36 |
11 | 11/5-11/9 | Impulses and Dirac Delta Review and Catch Up |
7.8: 3, 5, 13, 15, 21, 23 Ch. 4 (p. 230): 20-26, 30, 31, 35 Ch. 5 (p.304): 1-15 (odd), 14 Ch. 7 (p. 418): 1-21 (odd), 22 |
EXAM 2: Friday,
November 9 |
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12 | 11/12-11/16 | Separation of Variables Fourier Series |
10.2: 1-21 (odd), 22 10.3: 1-5 odd, 9, 10, 12, 17, 18, 20 |
13 | 11/19-11/21 | Sine and Cosine Series Heat Equation |
10.4: 1, 3, 5, 8, 11, 14 10.5: 1, 3, 7 |
14 | 11/26-11/30 | Heat Equation Wave Equation |
10.5: 8, 9, 14 10.6: 1, 4 |
15 | 12/3-12/7 | Review and Catch Up for Final | no |
Final Exam: Thursday, December 13, 6-8pm |