Block 1
|
Module |
Day/Date |
Reading
Assignment |
PROBLEMS |
NOTES |
|
1st Order DEs |
1 |
Tue |
1/11 |
1.1
Introduction to differential equations |
(10)
1,2,13,19,27,29 |
|
|
2 |
Wed |
1/12 |
1.2
Initial value problems
2.2
Separable variables |
(17)
1,9,13,14,17,25,26
(50) 1,6,7,17,25; |
|
|
3 |
Fri |
1/14 |
2.3
Linear equations |
(60)
3,5,10,23,27,28 |
|
|
H |
Mon |
1/17 |
Martin Luther King
Day |
|
|
|
4 |
Tue |
1/18 |
2.1.Direction
fields
2.6
Euler’s method |
(41) 1,3
(79) 1,2 |
2.1 Template |
|
5 |
Wed |
1/19 |
3.1
Applications: Cooling and mixing |
(89) 13,17,21,25 |
|
|
2nd Order Homogeneous DEs |
6 |
Fri |
1/21 |
4.1
Higher order DE’s: Existence and uniqueness |
(128) 3,5,7,9,10 |
|
|
7 |
Mon |
1/24 |
4.1 Higher order
DE’s: Linear independence, non-homogeneous DE’s |
(128)
15,18,23,25,31 |
|
|
8 |
Tue |
1/25 |
4.3a
Linear homogeneous constant coefficient DE’s:
real roots |
(139) 3,5,15,31,35 |
Add Deadline |
|
9 |
Wed |
1/26 |
4.3b
Linear homogeneous constant coefficient DE’s:
complex roots |
(139)
9,11,25,29,43-48 |
|
|
10 |
Fri |
1/28 |
5.1.1
Undamped mass-spring systems |
(194) 1,2,3,5
(194) 9,11 |
|
|
11 |
Mon |
1/31 |
5.1.2
Damped mass-spring systems |
(194)
17,19,21,23,25 |
|
|
12 |
Tue |
2/1 |
Test 1 |
|
Prereg 2,3/C |
Block 2
|
2nd
Order Non-homogenous DEs |
13 |
Wed |
2/2 |
4.5
Undetermined Coefficients |
(156) 15-26
|
Prereg 2,3/C |
|
14 |
Fri |
2/4 |
4.5
Non-homogeneous DE’s by Undetermined Coef |
(148)1,4,12,19,28 |
Prereg 2,3/C |
|
15 |
Mon |
2/7 |
5.1.3
Mass-spring system with external force |
(194) 31,39 |
Prereg 2,3/C |
|
16 |
Tue |
2/8 |
5.1.4
Series electrical circuits |
(194) 45,47,53 |
|
|
Intro to Matrix Algebra |
17 |
Wed |
2/9 |
Appendix II.1
Matrices |
(A18) 1,3,4,7,11,15,25 |
|
|
18 |
Fri |
2/11 |
Appendix II.2
Solving linear systems by row reduction |
(A18) 31,35,39 |
|
|
19 |
Mon |
2/14 |
Appendix II.3
Matrix inverse by row reduction |
(A18) 41,43
|
Ac Res |
|
20 |
Tue |
2/15 |
Solving Chemical Formulae using Matrices |
Supplementary Notes A
|
Ac Res |
|
21 |
Wed |
2/16 |
Appendix II.4
Eigenvalues and eigenvectors |
(A18) 47,49,53 |
Ac Res |
|
Systems of DEs |
22 |
Fri |
2/18 |
8.1
Systems of DEs |
( 310)
1,11,13,17,21,23 |
Ac Res |
|
H |
Mon |
2/21 |
Washington’s Birthday |
|
|
|
23 |
Tue |
2/22 |
8.2.1
Linear systems with real, distinct eigenvalues |
(324) 1,3,5,7 |
|
|
24 |
Wed |
2/23 |
9.4
Euler’s method for linear systems |
(357) 8,9
(use Euler’s method with h = 0.1) |
6 Wk Grades |
|
25 |
Fri |
2/25 |
9.4 Euler’s method for higher order DEs |
(357) 1,2
(don’t do analytic
solution for #2) |
|
|
26 |
Mon |
2/28 |
Test 2 |
|
|
Block 3
|
Module |
Day/Date |
Reading Assignment |
PROBLEMS |
NOTES |
|
Power
Series |
27 |
Tue |
3/1 |
6.1.1a Review of Power Series |
(230) 1,3,8,10,11,13 |
|
|
28 |
Wed |
3/2 |
6.1.1b Review of Maclaurin Series |
Supplementary Notes 1
HW Solutions |
|
|
29 |
Fri |
3/4 |
6.1.1b Review of Taylor Series |
|
|
|
30 |
Mon |
3/7 |
6.1.1c Power Series Solutions |
(230) 17,27 |
Declare Maj |
|
31 |
Tue |
3/8 |
Power Series Continued |
|
Declare Maj |
|
32 |
Wed |
3/9 |
The ‘Gaussian’ DE
 |
Supplementary Notes
HW Solutions |
Declare Maj |
|
33 |
Fri |
3/11 |
Review |
|
Early Sched |
|
|
H |
3/12-3/19 |
Spring Break |
|
|
|
Fourier Series |
34 |
Mon |
3/21 |
11.1
Orthogonal functions |
(402) 1,10,12,17 |
|
|
35 |
Tue |
3/22 |
11.2
Fourier series |
(407) 1,3,5,9 |
Prereg 4/C |
|
36 |
Wed |
3/23 |
11.2 Convergence of FS |
(407)
Graph FS(x) for 7,11; 17,19 |
Prereg 4/C |
|
37 |
Fri |
3/25 |
11.3
Sine and cosine series |
(414) 1,3,5,7,11,13 |
Prereg 4/C |
|
38 |
Mon |
3/28 |
11.3 Half-range expansions |
(414)
25,29 |
Prereg 4/C |
|
Intro to PDEs |
39 |
Tue |
3/29 |
12.1
Separation of variables for PDEs |
(436) 1,3,5,11 |
|
|
40 |
Wed |
3/30 |
12.3.1
Heat equation, ends held at 0 degs |
(445) 1,6 |
|
|
41 |
Fri |
4/1 |
12.3.2
Heat equation, ends insulated |
(445) 3,5 |
|
|
42 |
Mon |
4/4 |
12.4
Wave
Equation |
(448) 1,2 |
Ac Res |
|
43 |
Tue |
4/5 |
Review |
|
Ac Res |
|
44 |
Wed |
4/6 |
Test 3 |
|
Ac Res |
Block 4
|
