MATH-2215 Differential Equations Summer

Summer

Course Material

01 Book

02 Week 1 Introduction to Differential Equations. First-Order Differential Equations. Modeling With First-Order Differential Equations.

03 Week 2 Higher-Order Differential Equations. Undetermined Coefficients- Superposition Approach.

04 Week 3 Undetermined Coefficients- Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination.

05 Week 4 Nonlinear Differential Equations. Modeling with Higher-Order Differential Equations: Linear Models: Initial-Value Problems, Boundary-Value Problems.

06 Week 5 Nonlinear Models. Series Solutions of Linear Equations.

07 Week 6 Systems of Linear First-Order Differential Equations. Homogeneous Linear Systems. Nonhomogeneous Linear Systems.

08 Week 7 Matrix Exponential. Numerical Solutions of Ordinary Differential Equations. Euler Methods.

09 Week 8 Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems.

10 Week 9 Final terms