Calculus IV with Applications MAT 303 Summer Session I

First Week: Chapter 1: First-Order Differential Equations
    

•  Defining Differential Equations
• Modeling
• Separable Equations and Linear First-Order Equations
• Substitution Methods and Exact Equations
• Direction Fields and Using Computer Environments

Second Week: Chapter 2: Mathematical Models and Numerical Methods (Except 2.6)


• Models
• Equilibrium Solutions and Stability
• Euler's Method and Improved Euler's Method

• Second-Order Linear Equations
• Homogenous Equations
• Non Homogenous Equations
• Applications                 

• Laplace Transform and its inverse
• Solving Initial Value Problems
• Operations on Transforms
• Periodic and Piecewise Continuous Inputs; Delta Functions               

Reference :

• Differential Equations and Boundary Value Problems: Computing and Modeling, by Edwards and Penney, Prentice Hall (1996).