Math 133A (Spring 2018)

This website will contain all course material for the Spring 2018 section of “Math 133A: Ordinary Differential Equations” as taught by Matthew D. Johnston at San Jose State University.

Green sheet:

• Available here

Lectures:

• MW 12:00-1:15 p.m., location: Sci 142

Instructor Office Hours (DH 339):

• TuTh 10:30 a.m. – 12:00 p.m.
• By appointment or on Piazza

TA Office hours:

• M 9:00-10:15 a.m. (MH 221)
• M 1:30-2:45 p.m. (MH 425)
• W 1:30-2:45 p.m. (MH 425)
• W 6:00-7:15 p.m. (MH 425)

Textbook:

• Elementary Differential Equations, Boyce and DiPrima, Wiley, 10th edition, 2012 (ISBN: 978-0470458310) (suggested only, lecture notes provided below)

Grade Breakdown:

• WebAssign Homework: 20%
• Term Tests: 20% (times two)
• Final Exam: 40%

Piazza Course Discussion:

• Piazza Sign-up
• Course Home Page
• Auto-enroll with sjsu.edu email account
• Other email accounts, contact instructor

Computer Code:

• Forward Euler Method (Matlab file) (Python file)
• Runge-Kutta Method (Matlab file) (Python file)
• Online applet (our methods: Euler(O1), standard RK4(O4))

WebAssign Homework:

• WebAssign LogIn
• WebAssign Manual
• WebAssign Technical Support
• Course code: sjsu 2676 4029

Term Tests:

• February 28 (in class)
  • Version 1 (solutions)
  • Version 2 (solutions)
  • Sample test 1 (solutions)
  • Sample test 2 (solutions)
  • Sample test 3 (solutions)
  • Sample test 4 (solutions)
• April 16 (in class)
  • Version 1 (solutions)
  • Version 2 (solutions)
  • Study sheet (solutions)
  • Sample test 1 (solutions)
  • Sample test 2 (solutions)
  • Sample test 3 (solutions)
  • Sample test 4 (solutions) (errata)

Final Exam

• Wednesday, May 16: 9:45 a.m. – 12:00 p.m. (in Sci 142)
  • STUDY SESSION: Tuesday, May 15: 9:00 – 10:15 a.m. (in MH 324)
  • Study sheet (solutions)
  • Sample exam 1 (solutions)
  • Sample exam 2 (solutions)
  • Sample exam 3 (solutions)
  • Sample exam 4 (solutions)

Lectures (click link for lecture notes)

• Jan. 24 – Differential Equations, Solutions
• Jan. 29 – Slope Fields, Initial Value Problems
• Jan. 31 – Existence and Uniqueness
• Feb. 5 – Separable DEs
• Feb. 7 – First-Order Linear DEs
• Feb. 12 – Substitution Methods (Homogeneous & Bernoulli)
• Feb. 14 – Exact DEs
• Feb. 19 – Applications: Inflow/Outflow Models
• Feb. 21 – Numerical Methods (Forward Euler & Runge-Kutta)
• Feb. 26 – Second-Order Linear DEs (Homogeneous)
• Feb. 28 – Term Test I
• Mar. 5 – Applications: Harmonic Oscillator, Damped Pendulum
• Mar. 7 – Second-Order Linear DEs (Nonhomogeneous)
• Mar. 12 – Method of Undetermined Coefficients
• Mar. 14 – Applications: Resonance
• Mar. 19 – Power Series Review
• Mar. 21 – Power Series Methods
• Mar. 26 – 30 – Spring break!
• Apr. 2 – Laplace Transforms
• Apr. 4 – Inverse Laplace Transforms
• Apr. 9 – Discontinuous Forcing Functions
• Apr. 11 – Impulse Functions
• Apr. 16 – Term Test II
• Apr. 18 – Review of Linear Algebra: Matrices
• Apr. 23 – Review of Linear Algebra: Determinants and Inverses
• Apr. 25 – Review of Linear Algebra: Eigenvalues/vectors
• Apr. 30 – Systems of DEs, Vector Fields
• May 2 – Solutions of Systems of DEs
• May 7 -Fundamental Matrices
• May 9 -Nonhomogeneous Solutions
• May 14 – Final Exam Review!