Math 321 - Differential Equations - Spring 2023

Class Information

Instructor: Tuan Pham
Class meetings: M, T, Th, F, 1:00-1:50 PM at Loso Hall 116
[Syllabus]   [Canvas]   [Class Schedule]   [Homework Schedule]  

Office Hours

Monday, Friday 10:00-11:45 PM, Tuesday, Thursday 2-3 PM, or by appointment at Loso Hall 225

Assignments

  • The list of homework problems is in the homework schedule link above.
  • Mathematica labs are to be turned in on Canvas (see class schedule above):
    [Lab 1]   [Lab 2]  

    • Lecture notes

  • Review for Final exam (Jun 9)
  • Lecture 36 (Jun 8): solve system of ODEs by matrix method
  • Lecture 35 (Jun 6): solve system of ODEs by substitution
  • Lecture 34 (Jun 5): linear system of ODEs; motivating example
  • Lecture 33 (Jun 2): Euler's numerical method (cont.)
  • Lecture 32 (Jun 1): Euler's numerical method
  • Lecture 31 (May 30): find coefficients by matching powers; recursive formula
  • Lecture 30 (May 26): find coefficients by successive differentiations
  • Lecture 29 (May 25): power series method
  • Lecture 28 (May 23): practice with Variation of Parameters method
  • Lecture 27 (May 22): Variation of Parameters method
  • Lecture 26 (May 19): periodic forcing; resonance with friction
  • Lecture 25 (May 18): periodic forcing; resonance without friction
  • Lecture 24 (May 16): method of undetermined coefficients (cont.); superposition principle
  • Lecture 23 (May 15): method of undetermined coefficients
  • Lecture 22 (May 12): mass-spring vibration with forcing
  • Lecture 21 (May 11): mass-spring vibration simulation
  • Lecture 20 (May 9): mass-spring vibration
  • Lecture 19 (May 8): characteristic equation with complex roots
  • Review for Midterm exam (May 5)
  • Lecture 18 (May 4): characteristic equation with double root; Quiz 2
  • Lecture 17 (May 2): method of characteristic equation
  • Lecture 16 (May 1): check linear independence; Wronskian
  • Lecture 15 (Apr 28): generating all solutions from two linearly independent solutions; Quiz 1
  • Lecture 14 (Apr 27): linear ODE of second order; motivating example
  • Lecture 13 (Apr 25): existence and uniqueness of solutions (cont.)
  • Lecture 12 (Apr 24): existence and uniqueness of solutions
  • Lecture 11 (Apr 21): carbon dating
  • Lecture 10 (Apr 20): Newton's law of cooling with periodic environment temperature
  • Lecture 9 (Apr 17): Newton's law of cooling; estimate the time of death
  • Lecture 8 (Apr 14): more practice with first order linear ODE
  • Lecture 7 (Apr 13): more practice with separable ODE; first order linear ODE
  • Lecture 6 (Apr 11): separable ODE
  • Lecture 5 (Apr 10): two examples of autonomous ODE (falling object and population models)
  • Lecture 4 (Apr 7): autonomous ODE of first order - qualitative approach
  • Lecture 3 (Apr 6): autonomous ODE of first order - some simple examples
  • Lecture 2 (Apr 4): classification of differential equations
  • Lecture 1 (Apr 3): introduction

    • Supplement materials

  • Solution to Problem 13.5 on page 127
  • An elementary introduction to the Wolfram language
  • Estimation of the time of death using Newton's law of cooling
  • Installing Mathematica with JupyterLab as interface
  • Using Mathematica on JupyterLab, sample lab report: pdf, ipynb
  • Using Mathematica on Wolfram Cloud, sample lab report: pdf, nb

    • Links

    EOU's Portal, Library, Learning Center, Writing Center, Testing Center
    This page was last modified on Saturday, Jun 24, 2023.