MAT 22B Summer Session I 2021



Syllabus


Lecture Notes

  1. Introduction to Differential Equations
  2. Integrating Factors and Separable Equations
  3. Modeling, Linear vs Nonlinear Equations, and Autonomous Differential Equations
  4. Autonomous Equations continued, Exact equations, and Euler's method
  5. Existence and Uniqueness, Picard Iterates, and Difference Equations
  6. Into to Second Order Differential Equations and the Wronskian
  7. Complex roots, repeated roots, and reduction of order
  8. Nonhomogeneous equation, Method of Undetermined Coefficients, and Variation of Parameters
  9. Mechanical vibrations and periodic forcing
  10. The Laplace transform and initial value problem
  11. Intro to Systems of ODEs and linear algebra review
  12. Basic theory and solving systems of ODEs
  13. Complex eigenvalues and the Fundamental Matrix
  14. Repeated eigenvalues and nonhomogeneous systems
  15. Final Review Session

Lecture Recordings


Problem Sets


Group Work


Exams