Math 334: Differential Equations and Linear Algebra II

Spring Semester 2006

Sections refer to Farlow, et. al. Differential Equations and Linear Algebra text,
LA refers to Nicholson Elementary Linear Algebra text.

January
MondayTuesdayWednesday ThursdayFriday
9
Course Introduction, Differential Equations Review:
Sections 1.1, 1.2

Homework Grading Rubric

Homework 1:
Section 1.1: 1-5, 10, 11
Section 1.2: 2, 6, 8, 12-17, 19

Due on: Wed, 18 Jan

10
Lab 1: Qualitative Analysis Section 1.2
11
Existence and Uniqueness:
Section 1.5

Homework 2:
Section 1.2: 47 - 50
Section 1.3: 11, 14, 15
Section 1.5: 1, 5, 20,22

Due on: Thurs, 19 Jan

12
No Class
MAA Meetings, San Antonio
13
No Class
MAA Meetings, San Antonio
16
No Classes
Martin Luther King, Jr. Day
17
Lab 2: Numerical Solutions to Differential Equations
Section 1.4
18
Qualitative Analysis:
Section 1.3

Due Today: Homework 1,
Lab 1

19
Recitation

Due Today: Homework 2

20
Analytical Solutions: Variation of Parameters
Sections 2.1, 2.2

Homework 3:
Section 2.2: 1, 2, 17, 19, 21, 42, 46, 47
Due on: Wed, 25 Jan

23
Variation of Parameters II:
Sections 2.1, 2.2
24
Recitation
Review Day

Due Today: Lab 2

25
Bifurcation:
Section 2.5

Due Today: HW 3

Bifurcation Template (Excel)

Homework 4:
HW4 Handout
Due on: Fri, 27 Jan

26
Recitation

 

27
Modeling

Due Today: HW 4

30
Review of Life So Far
31
Exam 1



 
February
MondayTuesdayWednesdayThursdayFriday


1
Compartment Models
Section 2.4

Homework 5:
Section 2.4: 3, 4, 5, 7, 9, 10, 12
Due on: Mon, 6 Feb

2
Recitation
3
Introduction to Systems
Section 2.6

 

6
Matrix Review:
Sections 3.1 - 3.4 or
LA: 1.1 - 1.5

Due Today: HW 5

Linear Algebra Review

7
Lab 3: Matrices in Matlab
8
Matrix Review II:
Sections 3.1 - 3.4 or
LA: 2.1 - 2.3

Homework WW1:
math.carroll.edu
Due on: Mon, 13 Feb

9
Recitation
10
Diagonalization and Eigensystems
Sections 5.3 - 5.4 or
LA: 2.3

Homework WW2:
math.carroll.edu
Due on: Wed, 15 Feb

13
Eigenvalues and Subspaces
Section 3.5 or
LA: 4.1

Due Today: HW WW1

14
Lab 4: Leslie Matrices

Leslie Matrices Overview

15
Subspaces
Section 3.5 or
LA: 4.1

Due Today: HW WW2

Homework 6:
HW6 Handout
Due on: Wed, 22 Feb

16
Recitation
17
Linear combinations and Spanning Sets
Section 3.6
LA: 4.1 - 4.2
20
No Classes
President's Day
21
Lab 5: Make Mine a Linear Combination

Homework WW3:
math.carroll.edu
Due on: Fri, 24 Feb

22
Basis and Dimension
Section 3.6
LA: 4.2 - 4.3

Due Today: HW 6

Homework WW4:
math.carroll.edu
Due on: Mon, 27 Feb

23
Recitation
24
Vector Spaces
Sections 3.5, 3.6
LA: 5.1, 5.2

Due Today: HW WW3

Homework WW5:
math.carroll.edu
Due on: Tues, 28 Feb

27
Second Order Equations - Total Recall
Sections 4.1 - 4.3

Due Today: HW WW4

Homework WW6:
math.carroll.edu
Due on: Thurs, 2 Mar

28
Second Order Equations - Total Recall, Part II
Sections 4.1 - 4.3

Due Today: HW WW5

 
March
MondayTuesdayWednesdayThursdayFriday
1
Forced 2nd Order Linear Equations
Sections 4.4 - 4.5
2
Recitation

Due Today: HW WW6

3
Exam 2
Sample Exam
6
No Classes - Spring Break
7
No Classes - Spring Break
8
No Classes - Spring Break
9
No Classes - Spring Break
10
No Classes - Spring Break
13
Forced 2nd Order Linear Equations
Sections 4.4 - 4.5
14
Lab 6: 2nd Order Differential Equations
15
Nature of Solutions: Unforced
Section 4.6

Homework WW7:
math.carroll.edu
Due on: Mon, 20 Mar

16
Recitation
2nd Order Nonhomogeneous with constant coefficients
17
Linear Systems: Introduction
Section 6.1
20
Linear Systems: Real eigenvalues
Section 6.2

Due Today: HW WW7

21
Lab 7: Linear Systems
Sections 6.2 - 6.4
22
Linear Systems: Real Repeated eigenvalues, Complex Eigenvalues
Section 6.2 - 6.3

Linear Systems Overview

23
Recitation
24
Phase Portrait Sketching
Section 6.4
27
Phase Portrait Sketching
Section 6.4
28
Lab 8: Appications of Linear Systems
29
Review
30
Exam 3
Sample Exam
31
Diagonalization and Decomposition
Section 6.5
 
April
MondayTuesdayWednesdayThursdayFriday
3
Nonhomogeneous Systems
Section 6.5
4
Lab 9: Nonlinear Systems
5
Nonhomogeneous Systems
Section 6.7

Homework 7:
Section 6.5: 11, 16
Section 6.7: 5, 10, 17

Due on: Mon, 10 April

6
Recitation
7
Linearization
Section 7.2

Project Handout

10
Qualitative Analysis of Nonlinaer Systems
Section 7.1

Due Today: HW 7

Homework 8:
Section 7.1: 9, 10, 11
Section 7.2: 1, 8, 10

Due on: Thurs, 13 April

11
Lab 10: More Numerical Solutions
Section 7.3
12
Introduction to Chaos
Section 7.4

Homework 9:
Section 7.3: 4, 11, 22
Section 7.4: 1

Due on: Thurs, 20 April

13
Recitation

Due Today: HW 8

14
No Classes
Good Friday
17
No Classes
Easter Monday
18
Lab: Work on Project
19
Chaos: Period Doubling and Strange Attractors
Section 7.4
20
Recitation

Due Today: HW 9

21
Exam 4
24

 

25

 

26

 

27
Recitation/Review
28
Project Poster Session
 
May
MondayTuesdayWednesdayThursdayFriday
1
2
3
Final Exam
1:00 p.m. - 2:45 p.m.
4
5

mark parker
Last modified: 7 April 2006