Week + Dates |
Section # + Topic |
& HW Assignments |
WEEK 1:
09/05-
09/08 |
1.1 |
Some Basic Models; Direction Fields |
1 |
HWK 8, 10, 11, 17, 18, 23 |
1.3 |
Classification of Differential Equations |
2 |
HWK 1, 2, 5, 6, 8, 11 |
2.1 |
Linear Equations; Integrating Factors |
3 |
HWK 6(c), 9(c), 17, 19, 22(b,c) |
WEEK 2:
09/11-
09/15 |
2.1 |
Linear Equations; Integrating Factors (Continued) |
3 |
HWK 27, 28, 31, 33, 34, 35 |
2.2 |
Separable Equations |
4 |
HWK 3, 6, 8, 9, 12, 16 |
2.3 |
Modeling with First Order Equations |
5 |
HWK 2, 4, 7, 9, 16, 18(a) |
WEEK 3:
09/18-
09/22 |
2.7 |
Numerical Approximation; Euler’s Method |
6 |
HWK 2, 18, 19 |
3.1 |
Homogeneous Equations with Constant Coefficients |
7 |
HWK 3, 6, 8, 10, 13, 17, 20, 22 |
MATLAB PROJECT 1: DUE IN WEEK OF OCTOBER 9 |
REVIEW FOR EXAM 1 |
|
|
WEEK 4:
09/25-
09/29 |
COMMON EXAM 1 |
|
|
3.2 |
Solutions of Linear Homogeneous Equations: The Wronskian |
8 |
HWK 2, 5, 6, 8, 12, 18, 22, 24, 25, 26, 31 |
WEEK 5:
10/02-
10/06 |
3.3 |
Complex Roots of the Characteristic Equation |
9 |
HWK 2, 3, 5, 7, 11, 17, 21, 27 |
3.4 |
Repeated Roots; Reduction of Order |
10 |
HWK 1, 6, 9, 11, 14, 16, 26, 28, 30 |
WEEK 6:
10/09-
10/13 |
3.5 |
Nonhomogeneous Equations; Undetermined Coefficients |
11 |
HWK 3, 5, 9, 11, 17, 19 |
3.5 |
Undetermined Coefficients (Continued) |
11 |
HWK 22(a), 23(a), 25(a), 28(a) |
3.6 |
Variation of Parameters |
12 |
HWK 3, 7, 8, 9, 12, 13, 15, 19 |
3.7 |
Mechanical and Electrical Vibrations |
13 |
HWK 2, 3, 5, 7, 11, 12 |
WEEK 7:
10/16-
10/20 |
3.7 |
Vibrations (Continued) |
13 |
HWK 14, 16, 17, 18, 20 |
3.8 |
Forced Vibrations |
14 |
HWK 2, 6, 9, 12 |
REVIEW FOR EXAM 2 |
15 |
|
WEEK 8:
10/23-
10/27 |
COMMON EXAM 2 |
|
|
5.1 |
Review of Power Series |
16 |
HWK 18, 20, 21, 23 |
5.2 |
Series Solutions of Second Order Linear ODEs with Non- constant Coefficients; Solution Near an Ordinary Point |
17 |
HWK 2(a,b), 4(a,b), 7(a,b),12(a,b) |
5.4 |
Euler’s Equation; Regular Singular Points |
18 |
HWK (5.4) 1, 3, 4, 8, 17, 20, 22 |
WEEK 9:
10/30-
11/03 |
5.5 |
Series Solutions Near a Regular Singular Point, Part I |
19 |
HWK 1, 2, 3, 12 |
6.1 and 6.2 |
Definition of the Laplace Transform and Solution of Initial Value Problems |
20 |
HWK (6.1) 3, 4, 6, 9, 13, 15, 21, 25, 26, 27 (6.2) 1, 2, 3, 5 |
6.2 |
Initial Value Problems (Continued) |
21 |
HWK (6.2) 7, 8, 13, 21, 24, 29, 30, 32, 33 |
MATLAB PROJECT 2: DUE IN WEEK OF NOVEMBER 13 |
|
WEEK 10:
11/06-
11/10 |
6.3 |
Step Functions |
22 |
HWK (6.3) 2, 4, 10, 11, 15, 17, 20, 21, 23 (6.4) 2, 3, 5, 7, 9, 11 |
6.4 |
ODEs with Discontinuous Forcing Functions |
23 |
HWK 18, 22 |
6.5 |
Impulse Functions |
24 |
HWK 1, 2, 5, 6, 9 |
WEEK 11:
11/13-
11/17 |
6.6 |
The Convolution Integral |
25 |
HWK 4, 5, 6, 8, 9, 10, 14, 18 |
7.1 |
System of First Order Linear ODEs |
26 |
HWK 2, 4, 5, 7(1,b) |
7.2 |
Review of Matrices (refer to suggested material) |
27 |
HWK 1, 2, 4, 8, 22, 23 |
WEEK 12:
11/20-
11/24 |
7.3 |
Review of Linear Algebraic Equations, Eigenvalues, and Eigenvectors (2X2) |
28 |
HWK 16, 17, 18, 19 |
7.5 |
Homogeneous Linear Systems with Constant Coefficients |
29 |
HWK 2(a), 4(a), 7(a), 15, 16 |
REVIEW FOR EXAM 3 |
30 |
|
WEEK 13:
11/27-
12/01 |
COMMON EXAM 3 |
|
|
7.6 |
Complex Eigenvalues |
31 |
HWK 2(a), 6(a), 10, 13, 17, 28 |
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:
12/04-
12/08 |
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:
12/11-
12/13 |
REVIEW FOR FINAL EXAM |
37 |
|
WEEK 16:
12/15-
12/21 |
FINAL EXAM PERIOD: DECEMBER 16 - 22, 2016 |