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:**

- Available here

**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**

- Assignment 1 due Sept. 1 (in class)
- Assignment 2 due Sept. 8 (in class)
- Assignment 3 due Sept. 15 (in class)
- Assignment 4 due Sept. 24 (in class)
- Assignment 5 due Oct. 8 (in class)
- Assignment 6 due Oct. 15 (in class)
- Assignment 7 due Oct. 22 Oct. 27 (in class)
- Assignment 8 due Nov. 3 Nov. 5 (in class)
- Assignment 9 due Nov. 17 (in class)
- Assignment 10 due Dec. 1 (in class)
- Assignment 11 due Dec. 8 (in class) (completion graded only)

**Term Tests**

**October 1**(in class) (test – solutions) (sample test 1 – solutions) (sample test 2 – solutions)**November 19**(in class) (test – solution) (study sheet – solutions – vector field diagrams)

**Final Exam**

**December 10**, 12:15-2:30 p.m., Room: Sci 142 (study sheet – solutions)

**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**