Course Material for EE1060: Differential Equations and Transform Techniques (Spring 2025)

Lecture Notes

The Lecture Notes is meant for quick reference and review. They do not serve as comprehensive sources and are based on the suggested textbooks and references. Students are strongly encouraged to consult these recommended textbooks and references as well.

Lec. (Date)	Topics Covered	Lecture Notes
1 (02/01)	Introduction Introduction to Differential Equations	Notes
2 (06/01)	Solution of Differential Equations Implicit and Explicit Solutions General Solution and Particular Solution	Notes
3 (08/01)	Linear Differential Equations General Solution and Particular Solution Linear and Nonlinear Differential Equations	Notes
4 (09/01)	First-order ordinary differential equations Separable ordinary differential equations Exact ordinary differential equations	Notes
5 (13/01)	First-order ordinary differential equations Integration Factor Approach	Notes
6 (16/01)	First-order ordinary differential equations Substitution Method Bernoulli Equation	Notes
7 (20/01)	Introduction to Numerical Methods Slope Fields and Isoclines Forward Euler Method and RK2 Method	Notes
8 (22/01)	Implicit Numerical Methods Backward Euler Method Trapezoidal Method	Notes