WEEK

DATES

TOPICS

1

2-8 October 2023

Introduction, Existence and Uniqueness thm. for first order d.e.'s,

2

9-15 October 2023

Separable Equations, Homogeneous Equations, 

3

16-22 October 2023

Linear Eqns., Bernoulli Eqns., 

4

23-29 October 2023

Exact Eqns., Integrating Factors, 

5

30 October-5 November 2023

Eqns. of the form y'=G(ax+by), Equations with linear coefficients, 

6

6-12 November 2023

Riccati Eqns., Homogeneous Liner Eqns, 

7

13-19 November 2023

Reduction of Order,

MIDTERM 1

8

20-26 November 2023

The method of undetermined coefficients, The method of variation of parameters, 

9

27 November-3 December 2023

Cauchy-Euler Eqns., Laplace Transforms, 

10

4-10 December 2023

Inverse Laplace Transforms, Solving Initial Value Problems, 

11

11-17 December 2023

Unit Step Function, Convolution,

12

18-24 December 2023

Solving systems of linear differential equations using Laplace transform

MIDTERM 2

13

25-31 December 2023

Power Series Method (around ordinary point)

14

1-7 January 2024

January 1, 2024-Monday: New Year’s Day (No class)

Power series method (continued),