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• Book
• Week 1 Introduction to Differential Equations. First-Order Differential Equations. Modeling With First-Order Differential Equations.
• Week 2 Higher-Order Differential Equations. Undetermined Coefficients- Superposition Approach.
• Week 3 Undetermined Coefficients- Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination.
• Week 4 Nonlinear Differential Equations. Modeling with Higher-Order Differential Equations: Linear Models: Initial-Value Problems, Boundary-Value Problems.
• Week 5 Nonlinear Models. Series Solutions of Linear Equations.
• Week 6 Systems of Linear First-Order Differential Equations. Homogeneous Linear Systems. Nonhomogeneous Linear Systems.
• Week 7 Matrix Exponential. Numerical Solutions of Ordinary Differential Equations. Euler Methods.
• Week 8 Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems.
• Week 9 Final terms