Month 
Date 
Topic 
Sections 


FirstOrder Ordinary Differential Equations
(Chapter I)


January 
25 
Introduction 
0.1  0.3, 1.1  1.2 

30 
Linear Equations (homogeneous) 
2.1  2.5 
February 
1 
Separable Equations 
3.1  3.4


6 
General Theory / Graphical Methods / Applications 
3.3  3.4, 4.1  4.2, 5, 6 

8 
Applications 
6 

13 
Numerical methods 
7 

15 
Quiz 1 / Numerical methods 
7.27.3 

20 
HigherOrder Linear Ordinary Differential Equations  Introduction
/
Homogeneous Equations: General Methods and Theory
(Chapter II)

(part II started) 1.1  1.3, 2.1  2.4


22 
Homogeneous Equations: General Methods and Theory 
2.1  2.6 

27 
Homogeneous Equations: General Methods and Theory / Linear Algebra review 
2.1  2.7, 3.13.3 

March 
1 
Quiz 2 /
Homogeneous Equations with Constant
Coefficients 
4.1  4.2


6 
Homogeneous Equations: General Methods and Theory 
2.1  2.6, 3.1


8 
Midterm



13 
Homogeneous Equations with Constant
Coefficients

4.1  4.2 

15 
Quiz 3 /
(Non)Homogeneous Equations with Constant Coefficients)

(4.24.5, 5.1  5.2) 

27 
Nonhomogeneous Equations with Constant
Coefficients 
5.1  5.2 

29 
Quiz 4 / Nonhomogeneous Equations with Constant
Coefficients  undetermined coefficients 
6.2 
April 
3 
Nonhomogeneous Equations with Constant/Variable
Coefficients 
6.26.4, 7.1  7.2 

5 
Midterm



10 
Green function for higher order nonhomogeneous Equations with Variable Coefficients

6.4, 7.3, 7.6 

12 
Quiz 5 / Application: Mechanical Vibrations / Laplace transform
Laplace transform

8.1  8.2, 9.1 
9.1  9.5, (started part III) III.1 

17 
Linear Systems: Matrix Exponential / Linear Systems: Eigen Methods

13 

19 
Linear Systems: Eigen Methods / Linear Systems: General Methods and
Theory

1  3, 

24 
Linear Systems

4  5 

26 
Eigen Methods / Linear Systems: General Methods and
Theory

45 
May 
1 
Linear Systems

45 

3 
 7 

8 
review 
Chapters I,II,III 


10 
review 
Chapters I,II,III 


12 
Final exam 
