This schedule is tentative. It will get more accurate as the semester progresses. (I will post the homework solution once the homework has been graded. The solution to problems on the manual will not be included. Also you can pick up the graded homework from my office in case you miss that in class. They will be in the box outside my office)
Reminder:
(1) I will give a final review session on the last day of
class.
(2) You can pick up previous old homework assignment in the
box.
(3) The final exam and final project will be handed out on
the last day of class. They are both due 5:00pm of Wednesday, December 20 of
2006. Put your paper in the box if I am not in the office.
(4) I will still hold office hour until Wednesday, Dec 20. The
time and place are the same. You can also make appointment if the schedule does
not fit you.
P.S: Here is the grading scale I am using:
97% and up A+; 94  96% A; 91  93% A; 88  90% B+; 85  87% B; 82  84% B; 79  81% C+
76  78% C; 73  75% C; 69  72% D+; 65  68% D; 60  64% D; below 60% F
Day 
Topics 

Homework 
08/29 
Introduction to ODEs 
Manual Chapter 1,2 
Sec 1.3, #2,8,17,21, Solution 
08/31 
ODEs and their solutions 

Sec 2.1, #2,6,7,10,13,14,Solution 
09/05 
Solutions to separable equations 
Manual Chapter 3 Page 2835 
Sec 2.2 #3,10,15,22, Manual Page 25 #3,4,8, Solution 
09/07 
Linear equations 

Sec 2.4 #2,7,13,37, Manual Chapter 3, #2,6, Solution, Handout1 
09/12 
Mixing problems, Existence and uniqueness 

Sec 2.5 #1,6, Manual Chapter 2, #19,36, Solution 
09/14 
Existence and uniqueness, Dependence on initial conditions 


09/19 
Autonomous equations and stability 
Manual Chapter 3 
Sec 2.9 #2,9,20,26(use dfield6 as your numerical solver), Solution 
09/21 
Modeling 
Page 124126 of the book 
Sec 3.1 #2,12, Sec 3.3 #3,5,7, Solution 
09/26 
Numerical methods  Euler's method 
Manual Chapter 4 
Sec 6.1 #2,4, Solution 
09/28 
RungeKutta methods 
Manual Chapter 5 
Sec 6.2 #2,20, Manual Chapter 5 #2 (download eul,rk2,rk4 from http://math.rice.edu/~dfield/), Solution 
10/03 
Vectors and matrices 
Manual Chapter 6, 8 (Page 105118), 11(Page 154164) 
Section 7.1 #34,36,42,44,51,53, Solution 
10/05 
Solving systems of linear equations 

Section 7.3 #14,16,17,23,24, Manual Chapter 8 #9, Solution, Here are the first midterm and its solution 
10/10 
Homogeneous and inhomogeneous systems 

Sec 7.4 #4,6,8,24, Solution 
10/12 
Bases of a subspace 

No homework 
10/19 
Bases of a subspace (continued) 

Sec 7.5 #4,9,13,22,29, Solution 
10/24 
Determinants Introduction to systems 
Manual Chapter 11 
Sec 7.7 #7,12,26,36 Sec 8.1 #7,12,13, Solution 
10/26 
Linear
systems of ODEs 
Manual Chapter 13, P212217 
Sec 8.4 #4,6,14,21, Sec 8.5 #2,13,16,17,19,23 
10/31 
Planar systems of ODEs 

Sec 9.1 #10,12,21,23, Solution 
11/02 
Planar systems of ODEs (continued) 

Sec 9.2 #4,23,24,37,38,44, Solution 
11/07 
Higher dimensional systems 

Sec 9.5 #7,21,27,40,48, Solution 
11/09 
The exponential of a matrix 

Sec 9.6 #3,18,19,26,28,35,41, Solution 
11/14 
Higher order linear equations 

Sec 9.8 #10,15,25,28, 31,40. Solution. Here are the second midterm and its solution 
11/16 
2^{nd} order equations Undetermined coefficients 

Sec 4.3 #2,10,18,21,22,24, Sec 4.5 #2,6,17,19,25, Solution 
11/21 
Inhomogeneous systems and equations 

Sec 4.6 #3,5, Sec 9.9 #1,7, Solution 
11/28 
The linearization of nonlinear systems 
Manual Chapter 7 
Sec 10.1 #2,4, Solution 
11/30 
Long term behavior of nonlinear systems 
Manual Chapter 8 Page 114118 
Sec 10.2 #4,6,11, Solution 
12/05 
Invariant sets and the use of nullclines 

Sec 10.3 #2,3,8, Solution 
12/07 
Final Review 

Final exam, Solution, Final project, guidelines of project 