Exams
Quizzes
Assignments
With the exception of the #5, all assignments had an online, computational component through Webwork.
- Fall 2015 Assignment 1 Supplement
- Fall 2015 Assignment 2 Supplement
- Fall 2015 Assignment 3 Supplement
- Fall 2015 Assignment 4 Supplement
- Fall 2015 Assignment 5
- Separable Equations; The One-Valve Brine Problem
- Linear Equations; Integrating Factors
- More on Integrating Factors
- RC and RL Circuits (flawed)
- Second Order Equations and Mass-Spring Oscillator; Linear Independence of Solutions
- More on Linear Dependence
- The Wronskian; The Heat Equation in One Spatial and One Temporal Variable
- Continuing the Heat Equation: Complex Solutions and Relation Between Trig and Exponential Functions
- Finishing the Heat Equation; Inhomogeneous Equations; Variation of Parameters
- Variation of Parameters for Second Order Inhomogeneous Equations
- Solving the Mass-Spring Oscillator; Shortcut for Variation of Parameters
- More on Variation of Parameters
- Solving Second Order Linear Equations; Cauchy-Euler Equations
- Time-Independent Heat Equation in Two Spatial and One Temporal Variables; Polar Coordinates; Back to Circuits (fix)
- RLC Circuits
- The Two-Valve Brine Problem
- The Laplace Transform: Definition, Examples, and Basic Properties
- Exponential Order; Applying the Laplace Transform; Inverse Laplace Transform
- More on Inverse Laplace Transform; Solving the Two-Valve Brine Problem; The Laplace Transform and Derivatives
- The Laplace Transform and Periodic Functions
- Impulse and the Dirac Delta "Function"; Mass-Spring Problems with Impulse
- Heat Equation in Three Spatial and One Temporal Variable; Reductions and Cylindrical Coordinates; Series Solutions to Differential Equations
- More on Series Solutions: Solving for Coefficients
- More on Series Solutions: The Ratio Test, Bessel Functions, and Differentiation and Integration of Series
- Example of Series Solution
- Finishing Series Solutions: Analyticity, Ordinary and Singular Points; Regular and Irregular Singular Points
Notes
These notes are from my iPad using Goodnotes.
