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 Reading 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 28-35 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 Sec 2.7 #1,2,9,26,30, Solution, Handout2 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 124-126 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 Runge-Kutta 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 105-118), 11(Page 154-164) 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 Properties of Linear Systems Manual Chapter 13, P212-217 Sec 8.4 #4,6,14,21, Sec 8.5 #2,13,16,17,19,23 Solution 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 2nd 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 114-118 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