WEEK

DATES

TOPICS

1

2-8 October 2023

Introduction, Separable Equations

2

9-15 October 2023

Homogeneous Equations, Linear Eqns.

3

16-22 October 2023

Bernoulli Eqns., Exact Eqns.

4

23-29 October 2023

Integrating Factors, Eqns. of the form y'=G(ax+by)

5

30 October-5 November 2023

Equations with linear coefficients, Riccati Eqns.,

6

6-12 November 2023

Homogeneous Liner Eqns, Reduction of Order,

7

13-19 November 2023

The method of undetermined coefficients,

8

20-26 November 2023

The method of variation of parameters, Cauchy-Euler Eqns.

9

27 November-3 December 2023

Laplace Transforms, Inverse Laplace Transforms, Solving Initial Value Problems

10

4-10 December 2023

Unit Step Function, Convolution,

11

11-17 December 2023

Power Series Method (around ordinary point)

12

18-24 December 2023

Power series method (continued),

13

25-31 December 2023

Fourier Series, Fourier Cosine-Sine series

14

1-7 January 2024

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

The Heat Equation