Math 133A (Fall 2015)

This website will contain all course material for the Fall 2015 section of “Math 133A: Ordinary Differential Equations” as taught by Matthew D. Johnston at San Jose State University.

Course News:

  • 12/01: Assignment #11 has been posted and is available here. It is due in class on Dec. 8 and will be graded for completion only.
  • 12/02: The study guide for the final exam has been posted and is available here. The answer key is available here.
  • 12/07: The final exam review session will be held on Wednesday, December 9 from 1-3 in DH 303.

Green sheet:

Lectures:

  • TTh, 1:30-2:45 p.m., location: Sci 142

Instructor Office Hours:

  • Tu: 3-4, W: 1-3, Th: 3-4

Textbook

  • Blanchard, Devaney, and Hall, Differential Equations, 3rd or 4th edition

Grade Breakdown

  • Quizzes/Homework: 20%
  • Term Tests: 20% (x two)
  • Final Exam: 40%

Piazza Course Discussion:

Computer Code:

Assignments

Term Tests

Final Exam

Lectures

  • Lecture 1 (Aug. 20) (lecture notes) (1.1 – Introduction)
  • Lecture 2-3 (Aug. 25, 27) (lecture notes) (1.2, 1.3, 1.5 – Slope Fields, Solutions)
  • Lecture 3-4 (Aug. 27, Sept. 1) (lecture notes) (1.2, 1.8 – Separable and Linear First-Order DEs)
  • Lecture 5 (Sept. 1, 3) (lecture notes) (1.9 – Substitution Methods)
  • Lecture 6 (Sept. 8) (lecture notes) (no text – Exact DEs)
  • Lecture 7 (Sept. 10) (lecture notes) (1.4, 7.1, 7.3 – Numerical Methods)
  • Lecture 8 (Sept. 15) (lecture notes) (1.8, 1.9 – Applications: Inflow/Outflow Models)
  • Lecture 9 (Sept. 17) (lecture notes) (no text – Applications: Chemical Reactions)
  • Lecture 10 (Sept. 22) (lecture notes) (no text – Review of Linear Algebra: Determinants and Inverses)
  • Lecture 11-12 (Sept. 24 & 29) (lecture notes) (no text – Review of Linear Algebra: Eigenvalues and Eigenvectors)
  • Oct. 1 – Term Test I
  • Lecture 13 (Oct. 6) (lecture notes) (2.1, 2.2 – 2D Systems of DEs)
  • Lecture 14 (Oct. 8) (lecture notes) (3.1, 3.2 – Linear 2D Systems of DEs)
  • Lecture 15 (Oct. 13) (lecture notes) (3.3, 3.4, 3.5 – Complex and Repeated Eigenvalues)
  • Lecture 16 (Oct. 15) (lecture notes) (no text – Fundamental Matrices)
  • Lecture 17 (Oct. 20) (lecture notes) (no text – Nonhomogeneous Systems)
  • Lecture 18-19 (Oct. 22 & 27) (lecture notes) (3.6 – Second-Order Linear DEs)
  • Lecture 20 (Oct. 29) (lecture notes) (4.1 – Forced Second-Order Linear DEs)
  • Lecture 21-22 (Nov. 3 & 5) (lecture notes) (4.2 – Method of Undetermined Coefficients)
  • Lecture 23 (Nov. 10) (lecture notes) (4.3 – Applications, Resonance)
  • Lecture 24 (Nov. 12) (lecture notes) (6.1 – Laplace Transform Method)
  • Lecture 25 (Nov. 17) (lecture notes) (partial fractions review) (6.1 – Inverse Laplace Transform)
  • Nov. 19 – Term Test II
  • Lecture 26 (Nov. 24) (lecture notes) (6.2, 6.3 – Initial Value Problems)
  • Lecture 27 (Dec. 1) (lecture notes) (6.2, 6.3 – Discontinuous Forcing)
  • Lecture 28 (Dec. 3) (lecture notes) (6.4 – Impulse Functions)
  • Final Exam Review