MATH 3243

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MATH 3243
Differential Equations I

§1.1 Definitions and Terminology
§1.2 Uniqueness of Solutions to First Order IVP
§1.3 Differential Equations and Mathematical Models
§2.1 Graphical Solutions to First Order ODE: Slope Fields
§2.2 Separable Differential Equations
§2.3 First Order Linear Differential Equations
§2.4 First Order Exact Differential Equations
§2.5 Substitution Techniques
§2.6 Euler's Method
§3.1 First Order Linear Models
§3.2 First Order Non-Linear Model
§4.1 Higher Order Linear ODEs
§4.2 Reduction of Order
§4.3 Linear Homogeneous ODE with Constant Coefficients
§4.6 The Method of Variation of Parameters
§7.1 The Laplace Transform: Basic Results
§7.2 The Inverse Laplace Transform
§7.3 Shifting Theorems
§7.4 Further Operational Properties of Laplace Transform
§7.5 Laplace Transform of the Dirac Function
§8.1 Linear Systems of First Order ODEs
§8.2 Homogeneous Linear Systems of First Order ODEs
§8.3 Non-Homogeneous Linear Systems of First Order ODEs
§8.4 Exponential Matrix

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Last updated:October 16, 2022