Outline:

1. We should start with uniqueness and dependence of initial conditions of ordinary differential equations. Then we will introduce a few important concepts and interesting theory in differential equations.

Objective:

We aim to broaden students's insight by introduing various kinds of important and interesting topics in differential equations.

Textbook:

1. Ordinary Differential Equations with Applications (2nd Edition) (Series on Applied Mathematics) 2nd Edition by Sze-Bi Hsu
2. Second Order Differential Equations: Special Functions and Their Classification 2010th Edition by Gerhard Kristensson