Matthew L. Wright
Assistant Professor, St. Olaf College

Differential Equations

Math 230 ⋅ Fall 2018

Prof. Wright's office hours: Mon. 1–2, Tues. 10–11, Wed. 2–3, Thurs 10–11, Fri. 1–2, whenever the door is open, or by appointment in RMS 405

Help sessions: Tuesdays 9–10pm and Thursdays 7:30–8:30pm in Tomson 186

Jump to today
Friday
September 7
Introduction
Modeling with differential equations
Do the following before next class:
Monday
September 10
Separation of variables
Do the following before next class:
  • Finish reading §1.2.
  • Homework 1: §1.1 exercises 3, 5, 17; and §1.2 exercises #1, 3, 5, 8, 15, 17, 25, 28. This is due in the homework box (RMS 3rd floor, near the fireplace) at 4pm Wednesday.
  • Read this article and §1.3 in the textbook. Then complete the reading questions on Moodle.
  • If possible, bring a computer with Mathematica to class on Wednesday.
Wednesday
September 12
Slope fields
Do the following before next class:
Friday
September 14
Euler's method
Do the following before next class:
  • Homework 3: §1.3 exercises 18, 19 and §1.4 exercises #1, 3, 5, 6, 11. (Due 4pm Monday in the homework box.)
  • Watch the video Existence and Uniqueness. Also read §1.5, at least through page 67.
Monday
September 17
Existence and uniqueness
Do the following before next class:
  • Read this article and §1.6 in the tetbook. Then complete the reading questions on Moodle.
  • Homework 4: §1.5 exercises #2, 3, 5–8, 9ab, 11, 13. (Due 4pm Wednesday.)
  • This week: begin work on Lab 1.
Wednesday
September 19
Phase line
Do the following before next class:
  • Read §1.7 and complete the reading questions on Moodle..
  • Homework 5: §1.5 exercise 12 and §1.6 exercises 1, 4, 7, 10, 13, 16, 19, 31, 32, 33, 34. (Due 4pm Friday.)
  • Work on Lab 1.
Friday
September 21
Bifurcations
Do the following before next class:
  • Read §1.8. Especially note the Linearity Principle and the Extended Linearity Principle..
  • Homework 6: §1.6 exercises 28, 37 and §1.7, exercises 4, 8, 9, 11, 12, 13. (Due 4pm Monday.)
  • Work on Lab 1.
Monday
September 24
Linear equations
Do the following before next class:
Wednesday
September 26
Integrating factor
Lab 1
due today
Do the following before next class:
Friday
September 28
Systems of differential equations
Do the following before next class:
Monday
October 1
Geometry of systems
Do the following before next class:
Wednesday
October 3
Damped harmonic oscillation
Do the following before next class:
Friday
October 5
Additional analytic methods
Do the following before next class:
Monday
October 8
topics in Chapter 2
Study for the exam! Consider the following problems for review (not to be collected):
Wednesday
October 10
Exam 1
  • This exam will cover Chapter 1 and the first four sections of Chapter 2.
  • More information will be posted here.
exam
Do the following before next class:
Friday
October 12
Linear systems, linearity principle
Fall break! No class Monday, October 16.
Do the following before next class:
Wednesday
October 17
Linear systems and straight-line solutions
Do the following before next class:
Friday
October 19
Linear systems with real eigenvalues
Lab 2
due today
Do the following before next class:
This weekend, the help session will be Sunday, 1–2pm in RNS 206.
Monday
October 22
Linear systems with complex eigenvalues
Do the following before next class:
Wednesday
October 24
Linear systems with repeated eigenvalues
Do the following before next class:
Friday
October 26
Linear systems with zero eigenvalues
Linear system summary
Do the following before next class:
Monday
October 29
Second-order linear systems
Do the following before next class:
Wednesday
October 31
Trace-determinant plane
Do the following before next class:
Friday
November 2
Forced harmonic oscillation
Do the following before next class:
Monday
November 5
Sinusoidal forcing
Do the following before next class:
Wednesday
November 7
Undamped forcing
Do the following before next class:
Friday
November 9
Resonance and beats
Lab 3
due today
Do the following before next class:
Monday
November 12
Review
Study for the exam! Consider the following problems for review (not to be collected):
Wednesday
November 14
Exam 2
  • This exam will cover Chapter 3, sections 1 through 7, and the first three sections of Chapter 4.
  • More information will be posted here.
exam
Do the following before next class:
Friday
November 16
Nonlinear systems: equilibrium point analysis
Do the following before next class:
Monday
November 19
Qualitative analysis
Thanksgiving break! No class Wednesday, Nov. 22 or Friday, Nov. 24.
Do the following before next class:
Monday
November 26
Qualitative analysis
Do the following before next class:
Wednesday
November 28
Hamiltonian systems
Do the following before next class:
Friday
November 30
Laplace transforms
Do the following before next class:
Monday
December 3
Laplace tranforms, discontinuous functions
Do the following before next class:
Wednesday
December 5
Laplace transforms of second-order equations
Do the following before next class:
Friday
December 7
Delta functions and impulse forcing
Lab 4
due today
Do the following before next class:
Monday
December 10
Review
Final Exam Information: The final exam will consist of a take-home problem and an in-class exam.
Friday
December 14
Final exam for Math 230A
9:00 – 11:00am
exam
Tuesday
December 18
Final exam for Math 230B
9:00 – 11:00am
exam