Start exploring! Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review. Project 1: Diving Deception Pass. Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review. Project 2: Harvesting Natural Resources. Linear Models. Nonlinear Models. Modeling with Systems of Differential Equations.
Chapter 3 in Review. Project 3: Swimming the Salmon River. Linear Differential Equations: Basic Theory. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients- Superposition Approach. Undetermined Coefficients- Annihilator Approach.
Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Equations by Elimination. Nonlinear Differential Equations. Chapter 4 in Review. Project 4: Bungee Jumping. Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Chapter 5 in Review. Project 5: The Collapse of Galloping Gertie. Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review.
Project 6: Defeating Tamarisk. Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Click here to sign up.
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