Ordinary and Partial Differential Equations

First- and second-order equations; special functions; Laplace transform solutions; higher order equations; Fourier series; partial differential equations.

Week 1 (8/21 - 8/25)

Monday Wednesday Thursday Friday
  • Numerical Solutions
  • Notes

Week 2 (8/28 - 9/1)

Monday Wednesday Thursday Friday
  • Linear First-Order DEs
  • Notes

Week 3 (9/4 - 9/8)

Monday Wednesday Thursday Friday
  • Labor Day
  • Transforming to exact DEs
  • Notes
  • Existence and Uniqueness of Solutions
  • Notes
  • Modeling First-Order DEs
  • Notes

Week 4 (9/11 - 9/15)

Monday Wednesday Thursday Friday
  • Systems of First-Order DEs
  • Notes
  • Exam 1

Week 5 (9/18 - 9/22)

Monday Wednesday Thursday Friday
  • The Characteristic Equation
  • Notes

Week 6 (9/25 - 9/29)

Monday Wednesday Thursday Friday
  • Non-Homogeneous DEs
  • Notes
  • Undetermined Coefficients
  • Notes
  • Variation of Parameters
  • Notes

Week 7 (10/2 - 10/6)

Monday Wednesday Thursday Friday
  • Variation of Parameters
  • Notes
  • Modeling Second-Order DEs
  • Notes
  • The Wronskian and Characteristic Equation
  • Notes

Week 8 (10/9 - 10/13)

Monday Wednesday Thursday Friday
  • Undetermined Coefficients
  • Notes
  • Variation of Parameters
  • Notes
  • Exam 2

Week 9 (10/16 - 10/20)

Monday Wednesday Thursday Friday
  • The Laplace Transform
  • Notes
  • Inverse Laplace Transform
  • Notes
  • Initial Value Problems
  • Notes
  • Unit Step Functions
  • Notes

Week 10 (10/23 - 10/27)

Monday Wednesday Thursday Friday
  • Discontinuous Forcing Functions
  • Notes
  • Groups: Laplace (Inverse) Transforms
  • Notes
  • Groups: Unit Step Functions
  • Notes
  • Groups: Initial Value Problems
  • Notes

Week 11 (10/30 - 11/3)

Monday Wednesday Thursday Friday
  • Series Solution near Ordinary Point
  • Notes

Week 12 (11/6 - 11/10)

Monday Wednesday Thursday Friday
  • Series Solution near Ordinary Point
  • Notes
  • Exam 3

Week 13 (11/13 - 11/17)

Monday Wednesday Thursday Friday
  • Two-Point Boundary Value Problem
  • Notes
  • Boundary Value Problems and Orthogonal Functions
  • Notes
  • Fourier Series (examples)
  • Notes

Week 14 (11/20 - 11/24)

Monday Wednesday Thursday Friday
  • Thanksgiving Break
  • Thanksgiving Break
  • Thanksgiving Break
  • Thanksgiving Break

Week 15 (11/27 - 12/1)

Monday Wednesday Thursday Friday
  • Fourier Series (convergence)
  • Notes
  • Fourier Series (even and odd)
  • Notes
  • The Heat Equation
  • Notes
  • The Heat Equation
  • Notes

Week 16 (12/4 - 12/8)

Monday Wednesday Thursday Friday
  • The Heat Equation
  • Notes
  • Exam 4 and Final Review
  • Notes
  • Exam 4