Week

Days

Topics

Pages

Assignment / Quizzes

1

Sep. 12-14

Introduction, Classification of DEs,
1^st order ODEs: Separable

1-10

2

Sep. 19-21

1^st order ODEs: Linear: constant coefficients, General solution,  Method of undetermined coefficients, Qualitative sketches

11-20

3

Sep. 26-28

1^st order ODEs: Various applications,

21-30

Assignment  1 due Sep. 26

Quiz 1: Sept. 28

4

Oct. 03-05

2^nd order linear DEs

31-43

Assignment 2 due Oct. 03

5

Oct. 10-12

Analysis of oscillator DEs in mechanical
and electrical systems

44-60

Assignment 3 due Oct. 10
Quiz 2: Oct. 12

6

Oct. 17-19

Series of solutions of DEs

61-64

Assignment 4 due Oct. 17

7

Oct. 24-26

Laplace transforms, simple functions, properties, inverse transforms

65-76

Assignment 5 due Oct. 24
Midterm: Oct. 26

8

Oct. 31-Nov 2

Solving DEs using Laplace transform, Convolution theorem

77-90

9

Nov.07-09

Application to Linear Time Invariant systems, Impulse response and unit-step response

91-102

Assignment 6 due Nov. 07

Quiz 3: Nov. 9

10

Nov.14-16

Linear vector DEs:  Solving using eigenvectors

103-114

Assignment 7 due Nov. 14

11

Nov.21-23

Solving vector DEs using Laplace transform

115-119

Assignment 8 due Nov. 21
Quiz 4: Nov. 23

12

Nov.28-30

Orbits of a vector DE in state space, solving inhomogeneous linear vector DEs

119-128

Assignment 9 due Nov. 29

13

Dec.05

Review

Assignment 10 due Dec. 05