Week + Dates |
Section # + Topic |
|
HW Assignments |
Week 1 |
1.1 |
Some Basic Models; Direction Fields |
1 |
HWK 5, 6, 7, 11, 12, 19 |
1.3 |
Classification of Differential Equations |
2 |
HWK 1, 2, 4, 6, 9, 11, 12 |
2.1 |
Linear Equations; Integrating Factors |
3 |
HWK 6(c), 8(c), 10, 11, 13(b,c) |
Week 2 |
2.1 |
Linear Equations; Integrating Factors (Continued) |
3 |
HWK 17, 18, 21, 23, 24, 25 |
2.2 |
Separable Equations |
4 |
HWK 2, 4, 6, 9, 12 |
2.3 |
Modeling with First Order Equations |
5 |
HWK 2, 5, 7, 12, 14(a) |
Week 3 |
2.7 |
Numerical Approximation; Euler’s Method |
6 |
HWK 2 |
3.1 |
Homogeneous Equations with Constant Coefficients |
7 |
HWK 3, 5, 6, 8, 10, 13, 15, 16 |
REVIEW FOR EXAM 1 |
Week 4 |
COMMON EXAM 1 |
3.2 |
Solutions of Linear Homogeneous Equations: The Wronskian |
8 |
HWK 2, 4, 5, 7, 9, 14, 17, 19, 20, 21, 23 |
Week 5 |
3.3 |
Complex Roots of the Characteristic Equation |
9 |
HWK 1, 2, 4, 5, 8, 12, 19 |
3.4 |
Repeated Roots; Reduction of Order |
10 |
HWK 1, 5, 7, 9, 11, 12, 19, 22 |
Week 6 |
3.5 |
Nonhomogeneous Equations; Undetermined Coefficients |
11 |
HWK 2, 4, 8, 13, 14 |
3.5 |
Undetermined Coefficients (Continued) |
11 |
HWK 16(a), 17(a), 21(a) |
3.6 |
Variation of Parameters |
12 |
HWK 2, 6, 7, 9, 10, 12, 13 |
3.7 |
Mechanical and Electrical Vibrations |
13 |
HWK 1, 2, 3, 4, 6, 7 |
Week 7 |
3.7 |
Vibrations (Continued) |
13 |
HWK 9, 11, 12, 13 |
3.8 |
Forced Vibrations |
14 |
HWK 1, 4, 6 |
REVIEW FOR EXAM 2 |
15 |
|
Week 8 |
Common Exam 2 |
5.1 |
Review of Power Series |
16 |
HWK 15, 17, 18, 19 |
5.2 |
Series Solutions of Second Order Linear ODEs with Non- constant Coefficients; Solution Near an Ordinary Point |
17 |
HWK 3(a,b), 5(a,b),6(a,b),7(a,b) |
5.4 |
Euler’s Equation; Regular Singular Points |
18 |
HWK 1, 3, 6, 12, 17 |
Week 9 |
5.5 |
Series Solutions Near a Regular Singular Point, Part I |
19 |
HWK 1, 2, 3, 18 |
6.1 and
6.2 |
Definition of the Laplace Transform and Solution of Initial Value Problems |
20 |
HWK (6.1) 3, 5, 10, 12, 16, 19, 20, 21, (6.2) 1, 2, 3, 4 |
6.2 |
Initial Value Problems (Continued) |
21 |
HWK (6.2) 6, 10, 16, 17 |
Week 10 |
6.3 |
Step Functions |
22 |
HWK (6.3) 1, 3, 5, 8, 10, 12,14, 15; (6.4) 2, 3, 4, 7 |
6.4 |
ODEs with Discontinuous Forcing Functions |
23 |
HWK 11, 14 |
6.5 |
Impulse Functions |
24 |
HWK 1, 2, 7 |
Week 11 |
6.6 |
The Convolution Integral |
25 |
HWK 4, 5, 7, 8, 9, 14 |
7.1 |
System of First Order Linear ODEs |
26 |
HWK 1, 3, 4, 7(a,b) |
7.2 |
Review of Matrices |
27 |
HWK 1, 2, 4, 7, 17 |
Week 12 |
7.3 |
Review of Linear Algebraic Equations, Eigenvalues, and Eigenvectors (2x2) |
28 |
14, 15, 16 |
7.5 |
Homogeneous Linear Systems with Constant Coefficients |
29 |
2b, 3b, 5b, 10, 11 |
review for exam 3 |
30 |
|
Week 13 |
Common Exam 3 |
7.6 |
Complex Eigenvalues |
31 |
HWK 1(b), 4(b), 8, 11, 14, 23 |
10.1 |
Two-Point Boundary Value Problems |
32 |
HWK 1, 3, 5, 10, 14, 15, 18 |
10.2 |
Fourier Series |
33 |
HWK 1, 5, 6, 7, 13, 15, 16 |
Week 14 |
10.2 |
Fourier Series (Continued) |
34 |
HWK 19(a,b), 20(a,b), 22(a,b) |
10.4 |
Even and Odd Functions |
35 |
HWK 2, 3, 4, 7, 9, 15, 16, 21,23(a,b), 27(a,b) |
REVIEW FOR FINAL EXAM |
36 |
|
Week 15 |
REVIEW FOR FINAL EXAM |
36 |
|
Week 16 |
FINAL EXAM PERIOD: May 10 - 16, 2019 |