|
|
Module |
Day/Date |
Reading Assignment |
Problems |
Notes |
|
Intro
-----
1st
Order DEs
-----
2nd
Order
Homogeneous DEs |
1 |
T |
1/8 |
1.1
Definitions and Terminology |
p.10:
1,3, 5,7,9,11,15,19,23,
27,33 |
Monday
Schedule |
|
2 |
W |
1/9 |
1.2 IVPs |
p.17:
1,3,7,9,11,15,17,21,25,33 |
|
|
3 |
F |
1/11 |
2.1.1
Direction Fields, Isoclines
2.2
Separable DEs |
p.43:
1,3,4
p.51:
1,3,5,7,15,17,25 |
|
|
4 |
M |
1/14 |
2.3 1st
Order Linear DEs |
p.61:
3,5,7,9,25,27 |
|
|
5 |
T |
1/15 |
2.6
Euler’s Method |
p.79:
1,7 |
|
|
6 |
W |
1/16 |
3.1a
APP: Growth & Decay/Cooling |
p.90:
3,5,13,15,19 |
|
|
7 |
F |
1/18 |
3.1b
APP: Electrical Circuits/Air Resistance |
p.92:
29,31, 35 |
|
|
Monday, 21 January -- Martin Luther King Day |
|
8 |
T |
1/22 |
3.1c
APP: Mixing |
p.91:
21,23,25*,26
(Solutions 23,25,35) |
Add
Deadline |
|
9 |
W |
1/23 |
4.1.1a
IVPs/General Solutions/Basic Theory |
p.127:
1,4,5*,9,13 |
|
|
10 |
F |
1/25 |
4.1.1b
Basic Theory Continued |
p.128:
17,21,23,27,36,40 |
|
|
11 |
M |
1/28 |
4.3a
Homogeneous Lin Del, Aux Eqn w/Real Unique Roots &
w/Repeated Roots |
p.137:
3,7,15,17,21,31,37 |
|
|
12 |
T |
1/29 |
4.3b Aux
Eqn Complex Roots |
p.137:
9,11,19,29,33,43,45,47 |
|
|
13 |
W |
1/30 |
5.1.1a
APP: Mass/Spring (Free Undamped Motion) |
p.205:
1,3,5,8 |
|
|
14 |
F |
2/1 |
5.1.2a
APP: Mass/Spring (Free Damped Motion) |
p.206:
21,23,25,27 |
|
|
15 |
M |
2/4 |
Review |
|
|
|
16 |
T |
2/5 |
Test 1 |
|
|
|
2nd
Order Non-Homogeneous DEs
-----
Introduction to
Laplace Transforms
|
17 |
W |
2/6 |
4.4a
Undetermined Coefficients |
p.147:
1,5,11,15,21 |
|
|
18 |
F |
2/8 |
4.4b
Undetermined Coefficients |
p.147:
27,29,33,37 |
|
|
19 |
M |
2/11 |
5.1.1b
APP: Springs (Driven Motion) |
p.207:
29,30,31 |
Academic
Reserve |
|
20 |
T |
2/12 |
5.1.2b
APP: Electrical Circuits |
p.209:
45,47,49; |
|
21 |
W |
2/13 |
5.1.2c
APP: Resonance |
p.207:
33,37;
Video:
1
, 2,
3,
4 |
|
22 |
F |
2/15 |
7.1
Laplace Transforms |
p.280:
3,9,11,23,25,31,37,39 |
|
Monday, 18 February -- Washington’s
Birthday |
|
23 |
T |
2/19 |
7.2.1a
Inverse Laplace Transforms |
p.288:
1,3,5,7,9,11,15, |
|
|
24 |
W |
2/20 |
7.2.1b
Inverse LTs & Partial Fractions |
p.289:
19,23,25,29 |
Grades |
|
25 |
F |
2/22 |
7.2.2
Laplace Transforms of Derivatives |
p.289:
31,33,37,39 |
MAPRS |
|
26 |
M |
2/25 |
7.3.1a 1st
Trans Theorem/Completing Square |
p.297:
3,5,7,11,13,15,19 |
|
|
27 |
T |
2/26 |
7.3.1b
continued |
p.298:
21,23,25,27,33(APP) |
|
|
28 |
W |
2/27 |
Review |
|
|
|
29 |
F |
3/1 |
Test 2 |
|
|
|
More
Laplace Transforms
-----
Systems of DEs
-----
Matrix
Theory |
30 |
M |
3/4 |
7.3.2a
Unit Step Function/2nd Trans Theorem |
p.298:
37,39,41,43,45,47 |
|
|
31 |
T |
3/5 |
7.3.2b
Unit Step Function |
p.298:
49,53, 55,57,61,63,67 |
|
|
32 |
W |
3/6 |
7.4.2c
Derivatives/ Convolution |
p.309:
1,3,11,19,21.31,33 |
|
|
33 |
F |
3/8 |
7.5 Dirac
Delta Function |
p.315:
1,3,5,7,9 |
Early
Sched |
|
11-15
March Spring Break |
|
34 |
M |
3/18 |
7.H1
Green’s Function (Impulse Response) -
Handout |
Assignment 7.H1 |
|
|
35 |
T |
3/19 |
AIIa
Matrix Theory (no inverse) |
App-18:
1,6,14 |
|
|
36 |
W |
3/20 |
AIIb
Matrix Inverse/Cramer’s Rule. |
App-18:
15,16,24,29 |
|
|
37 |
F |
3/22 |
AIIc
Gaussian Elimination (rref/inv on calc) |
App II:
32,36,39, 41 |
|
|
38 |
M |
3/25 |
7.6a
Systems by LTs |
p.319:
1,5,7,11 |
|
|
39 |
T |
3/26 |
7.6b
APP: Coupled Springs |
p.319:
13,14* |
|
|
40 |
W |
3/27 |
7.6c
APP: Electrical Networks |
p.319:
15, 17 |
|
|
41 |
F |
3/29 |
Review |
|
|
|
42 |
M |
4/1 |
Test 3 |
|
Academic
Reserve |
Eigenvalues
&
Eigenvectors
-----
Fourier Series
-----ꜛ
Partial DEs
&
Heat
Equation
|
43 |
T |
4/2 |
AIId
Eigenvalues/Vectors (2x2 Matrices) |
App-19:
47,48,49 |
|
44 |
W |
4/3 |
8.1
Systems of DEs in Matrix Form |
p.332:
1,5,7,9,11,21 |
|
45 |
F |
4/5 |
8.2.1
Distinct Real Eigenvalues |
p.332:
1,3,13 |
|
46 |
M |
4/8 |
9.4
Euler’s Method for Systems |
p.379: 1,6*(use
Euler) |
|
|
47 |
T |
4/9 |
Review |
|
Grades |
|
48 |
W |
4/10 |
11.2a
Fourier Series (FS) |
p.430:
1,3,5,13 |
MAPRs |
|
49 |
F |
4/12 |
11.2b
FS-Convergence/Periodic Extension
11.3a
Odd/Even Functions |
p.431:
17*,18
p.437:
1,3,5,7 |
Drop
Deadline |
|
50 |
M |
4/15 |
11.3b
Fourier Sine/Cos Series (FSS/FCS) |
p.437:
13,15,18,25,29 |
|
|
51 |
T |
4/16 |
12.1a
PDEs, Separation of Variables (1st Order) |
p.459:
1,3,5
|
|
|
52 |
W |
4/17 |
12.1b
PDEs, Separation of Variables (2nd Order) -
Hints
|
p.459:
7,9,12 |
|
|
53 |
F |
4/19 |
12.3a
APP Heat Equation (0 Temp Ends) |
Handout |
|
|
54 |
M |
4/22 |
12.3b
APP Heat Equation (More Practice) |
p.468:
1,2 |
|
|
55 |
T |
4/23 |
12.3b
APP Heat Equation (Insulated Ends) |
p.468:
3*,4 |
|
|
56 |
W |
4/24 |
Review |
|
|
|
57 |
F |
4/26 |
Test 4 |
|
|
|
Final
Exam |
58 |
M |
4/29 |
Review
for Final |
|
|
|
59 |
T |
4/30 |
Review
for Final |
|
|
|
R |
W |
5/1 |
Reading
Day |
|
|
|
F |
? |
TBD |
Final |
|
|
|
