Introduction
Concepts of Differential Equations
Basic Definition and Terminology
Differential Equations as Mathematical Model


First Order Differential Equations
Separable Variables
Linear Differential Equations
Homogeneous Differential Equations
Exact Differential Equations
Reduction to Separation of Variables
Bernoulli Differential Equations


Applications of First Order Differential Equations
Growth and Decay Problems
Cooling/Warming Problem
Mixture Problems
Electric Circuits


Higher Order Differential Equations
Introduction to Higher Order DE, Superposition Principle, Linear Dependence and Linear Independence
Reduction of Order
Homogeneous Linear Equations with Constant Coefficients
Non-Homogeneous Linear Equation with Constant Coefficients: Method of Undetermined Coefficients.
Non-Homogeneous Linear Equation with Variable Coefficient: Method of Variation of Parameters


Applications of Second Order Differential Equations
Spring-mass Systems
Electric Circuits

Q1 : Requirement to enroll this course.
A1 : Calculus II