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:

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:

Grade Breakdown:

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

Piazza Course Discussion:

Computer Code:

WebAssign Homework:

Term Tests:

Final Exam

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!
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