Math 334: Differential Equations and Linear Algebra II

Spring Semester 2007

DE refers to Blanchard, Devaney, and Hall Differential Equations text,
LA refers to Nicholson Elementary Linear Algebra text.

January
MondayTuesdayWednesday ThursdayFriday
8
Course Introduction, Differential Equations Review:
Sections DE 1.1-1.4, 1.6, 1.8

HW 1: Web Work
Due: 12 Feb

WebWork Instructions
9
Recitation
10
Equilibria and Existence and Uniqueness:
Section DE 1.5
11
Lab 1: Qualitative Analysis
Section DE 1.6
12
Existence and Uniqueness:
Section DE 1.5

Due Today: HW 1
15
No Classes
Martin Luther King, Jr. Day
16
Recitation

HW 2: Web Work
Due: 18 Jan

17
Bifurcation
Section DE 1.7

Due Today: Lab 1

HW 3:
Section DE 1.7: 1, 4, 9, 15, 17
Due on: Mon, 22 Jan
18
Lab 2: Linear Algebra
Sections LA 1.1-1.5, 2.2, 2.3.2

Due Today: HW 2
19
Linear Algebra Review
Sections LA 1.1-1.5, 2.2, 2.3.2

Linear Algebra Review

HW 4: Web Work
Due: 23 Jan

22
Complex Numbers, Functions, and Eigenvalues:
Sections DE Appendix C and
LA 2.5

Due Today: HW 3

HW 5: Web Work
Due: 25 Jan

23
Recitation
Review Day

Due Today: HW 4

24
Wrap up Complex Numbers

Due Today: Lab 2

25
Exam 1

Due Today: HW 5

26
Modeling: Compartment Models
Section DE 1.2
29
Compartment Models II

HW 6: Web Work
Due: 1 Feb

30
Recitation
31
Modeling Via Systems
Section DE 2.1

 
February
MondayTuesdayWednesdayThursdayFriday

1
Lab 3: Systems Models
Sections DE 2.1 - 2.2

Due Today: HW 6

2
Systems Modeling
Section DE 2.2
5
Systems Modeling:
Section DE 2.3

HW 7:
Section DE 2.1: 1-3, 5, 9-14
Section DE 2.2: 11, 12, 21
Due on: Fri, 9 Feb

6
Recitation
7
Euler's Method :
Section DE 2.4

HW 8:
Section DE 2.3: 1, 3, 4-9
Section DE 2.4: 1, 2, 6
Due on: Mon, 12 Feb

8
Lab 4: Euler's Method and Chaos
Lab 4 Excel Template
Sections DE 2.4 - 2.5
9
Chaos
Section DE 2.5

Due Today: HW 7

12
Systems of Linear Equations
Sections LA 1.2 - 1.3

Due Today: HW 8

HW 9: Web Work
Due: 15 Feb

13
Recitation
14
Vector Subspaces
Section LA 4.1

HW 10: Web Work
Due: 20 Feb

15
Lab 5: Make Mine a Linear Combination
Section LA 4.2

Due Today: HW 9

16
Linear combinations and Spanning Sets
Sections LA 4.2

Linear Independence
19
No Classes
President's Day
20
Recitation

Due Today: HW 10

21
Exam 2
Sections DE 1.2, 2.1 - 2.4
Sections LA 1.2 - 1.3, 4.1 - 4.2
22
Lab 6: Leslie Matrices
23
Solutions to Systems
SectionDE 3.3
26
Systems Solutions: Repeated Eigenvalues
Section DE 3.5

HW 11: Web Work
Due: 1 Mar

27
Recitation
28
Systems Solutions: Repeated and Complex Eigenvalues
Sections DE 3.4 - 3.5

HW 12: Web Work
Due: 13 Mar

 
March
MondayTuesdayWednesdayThursdayFriday
1
Lab 7: Phase Portraits of Linear Systems

Due Today: HW 11
2
Systems Wrap up
Sections DE 3.1 - 3.5

Linear Systems Overview
5
No Classes - Spring Break
6
No Classes - Spring Break
7
No Classes - Spring Break
8
No Classes - Spring Break
9
No Classes - Spring Break
12
2nd Order Linear Equations
Sections DE 3.6 - 3.7

HW 13: Web Work
Due: 16 Mar

13
Recitation

Due Today: HW 12
14
Complex Solutions for Harmonic Oscillators
Section DE 3.7
15
Lab 8: 2nd Order Differential Equations
Recitation
2nd Order Nonhomogeneous with constant coefficients
16
Forced Harmonic Oscillators
Section DE 4.1

Due Today: HW 13
19
Dr. Parker Sick - No Class
20
Dr. Parker Sick - No Class
21
Sinusoidal Forcing
Section DE 4.2

22
Lab 9: Beats and Resonance
23
The Millenium Bridge:
Damped Forcing and Resonance
http://www.arup.com/MillenniumBridge/challenge/
http://www2.eng.cam.ac.uk/~gm249/MillenniumBridge/
26
Damped Forcing
Section DE 4.4

HW 14: Web Work
Due: 29 Mar

27
Recitation
28
Matrix Transformations
Section LA 3.4

HW 15: Web Work
Due: 3 April

29
Lab 10: Mappings and Transformations

Due Today: HW 14
30
Dimension and Rank
Sections LA 4.3 - 4.4

HW 16: Web Work
Due: 4 Apr

 
April
MondayTuesdayWednesdayThursdayFriday
2
Transformations
Sections LA 4.3 - 4.4
3
Recitation

Due Today: HW 15
4
Review

Due Today: HW 16
5
Exam 3
6
No Classes
Good Friday
9
No Classes
Easter Monday
10
Recitation
Exam 3 postmortem

 
11
Forced Linear Systems: Decoupling
12
Project: Handout
Tacoma Narrows Supplement
Grading Template
13
Forced Linear Systems: Undetermined Coefficients
16
Nonlinear Systems: Linearization
Section DE 5.1

HW 17: Web Work
Due: 19 April

17
Recitation
18
Nonlinear Systems: Hamiltonian Systems
Section DE 5.3
19
Lab 11: Nonlinear Systems
Sections DE 5.1 and 5.3

Due Today: HW 17
20
Nonlinear Systems: Dissipative Systems
Section DE 5.4
23
Introduction to Partial Differential Equations

Due Today: HW 18
24
Recitation
25
PDEs, Part II
26
Review
27
Project Poster Session
 
May
MondayTuesdayWednesdayThursdayFriday
1
2
Final Exam
1:00 p.m. - 2:45 p.m.
3
4
mark parker
Last modified: 27 March 2007