MATH 307J: Introduction to Differential Equations

Instructor: David Clancy

Email address: djclancy@uw.edu

Office Hours: I’ll have two hours (TBD) of normal office hours each week. If there’s enough people asking about particular HW problems, I’ll record a solution video and upload it. The solutions will be more-or-less step-by-step solutions.

Office Hours Location: There will be a zoom link posted on Canvas (class restricted link).

Useful External Resources (included roughly in the order they are used in class)

I’ve written some notes and extra problems here

Some more problems from a different instructor are here

• Slope field plotter: https://homepages.bluffton.edu/~nesterd/apps/slopefields.html
• The Euler’s method notebook that I used in class. (I think mostly useful for the function called Euler in the code). here
• Paul’s math notes for autonomous differential equations. here
• Paul’s math notes for partial fractions: here
• Desmos graphing tool for damped harmonic oscillators: here
  • Can be used to visualize how changing various physical properties of the graph (e.g. damping constant, mass, forcing frequency) affects the behaviour of the solution.

    Calendar/Course Overview

I’m guessing that a lot of your instructors are overloading you with work or material right now. That is not my intention. Following social distancing guidelines means that we have to have online lectures, which is not the best scenario for learning the material and the goal of college courses should be to learn the material. I’ll try to provide as many resources as possible, and hope that it doesn’t overwhelm you.

This course is just during the Fall 2020 term and is being held online. The lecture videos are pre-recorded and will be available here http://faculty.washington.edu/heathml/307/. We will mostly be following the schedule there. Some videos are not included as of yet, but they should be updated before the corresponding class meeting on the topic. The calendar is included below, but I don’t include the lecture notes associated with the videos. I’ve included only the Panopto recording link, but a youtube link can be found on the previously linked page.

Week:	Monday	Wednesday	Friday
Week 1: Sept. 30-Oct.2	9/28: No Class, quarter hasn’t begun	09/30: L1	10/02: L2
Week 2: Oct. 5-Oct. 9	10/5: L3	10/7: L4	10/9: L5
Week 3: Oct. 12-Oct 16	10/12: L6	10/14: L7	10/16: Quiz 1 L8
Week 4: Oct. 19-Oct.23	10/19: L9, Additional video (~15 min) on autonomous ODEs here	10/21: Complex Number Review	10/23: L10
Week 5: Oct. 26-Oct. 30	10/26: L11	10/28: L12 - this video is on solving 2nd order ODEs iteratively (~25 minutes). Watch this video as well (~30 minutes), but don’t focus on the spring-mass interpretations that much.	10/30: Quiz 2 L13
Week 6: Nov 2 - Nov. 6	11/2: L14	11/4: L15	11/6: L16
Week 7: Nov 9- Nov. 13	11/9: L17	11/11: No Class, Veterans’ Day	11/13: Quiz 3 L18 Short correct (~2min) video
Week 8: Nov. 16 - Nov. 20	11/16: L19 Partial Fraction Review	11/18: L20	11/20: L21
Week 9: Nov. 23 - Nov. 27	11/23: L22	11/25: Quiz 4 L23	11/27: No Class, Thanksgiving
Week 10: Nov. 30-Dec. 4	11/30: L24 - Some help with Laplace transforms	12/2: L25	12/4: Video Solving a general ODE with convolutions.
Week 11: Dec. 7 - Dec. 11	12/7: Video This is the Dirac delta function again, but in a context of solving ODEs with convolutions.	12/9: No video: class is only review	12/11: Quiz 5 No material

The last two weeks are a little jumbled, and there may be some overlap with the videos.