1. First-order Differential Equations Chapter 1-2 ---7 lectures + 1 exam;
2. Linear equations of second  order. Chapter 3--- 7 lectures + 1 exam;
3.  Linear equations of higher order. Chapter 4 --- 3 lectures;
4. Linear Systems of Differential Equations. Chapter 7--- 5 lectures +1 exam;
5. Numerical Methods. Chapter 8 --- 2 lectures;
6. Nonlinear Systems and Stability. Chapter 9---3  lectures;
Total = 27 Lectures  +  3  in-class exams.

Week 1   08-12  January
01/09 ---  Overview,  some basic ODE models and solutions;  Reading: 1.1-1.3;
01/11 ---  Linear first-order equations. Reading: 2.1
Week 2   15-19   January
01/16 --- Separable equations; Reading: 2.2;
01/18 --- Modeling with first-order equations; Reading: 2.3
Week 3  22-26   January
01/23 ---   Linear vs nonlinear equations;  Reading 2.4-2.5;
01/25 ---  Exact equation and integrating factors;  Reading: 2.6;
Week 4  29 January -02 February
01/30 ---  The existence and uniqueness theorem; Reading 2.8.  
02/01 ---  Review + Exam 1
Week 5    05-09  February 
02/06 ---  Homogeneous equations with constant Coefficients; Reading: 3.1;
02/08 ---  Solution structure; Reading: 3.2-3.3;
Week 6  12 --16   February
02/13 ---  Characteristic equation and case study;  Reading 3.4-3.5
02/15 ---   Method of undetermined coefficients; Reading: 3.6;
Week 7   19--23  February 
02/20 --- Variation of Parameters;  Reading: 3.7; 
02/22 --- Applications. Reading: 3.8-3.9
Week 8   26 February -- 02 March   (the first half semester ends on March 03)
02/27 --- Review
03/01 --- Exam 2
Week 9  05 - 09  March (second half semester begins)
03/06 --- General theory of nth order linear equations  Reading 4.1
03/08 --- Homogeneous equations with constant coefficients Reading 4.2-4.3

*** Spring Break 12-16  March, classes recessed ***

Week  10  19--23  March  
03/20 --- Construction of solutions Reading 4.3-4.4  
03/22 ---  Review of matrixes; Reading 7.1-7.3; 
Week 11   26-30  March
03/27 ---  Solution Structure of first order linear equations; Reading 7.4;
03/29 ---  The eigenvalue method for homogeneous systems; Reading 7.5-7.6
Week 12  02-- 06 April 
04/03--- Continued  Reading 7.6-7.7
04/05 --- Repeated eigenvalues Reading 7.8
Week 13  09--13  April
04/10 ---  Exam 3
04/12 --- Non-homogeneous linear systems;  Reading 7.9.
Week 14  16--20 April
04/17 ---   Review of Chapter 7 --- first order linear system
04/19 ---   Equilibrium solutions and stability; Reading 9.1.-9.2.
Week 15  23 -- 27  April
04/24 ---  Phase plane analysis; Reading 9.2-9.4
04/26 --- Review
Final Week  30 April -- 04   May