Welcome to Differential Equations! For course info and policies, please see the syllabus. For grades, log into Moodle. If you need help or have questions, please contact Prof. Wright.

**Prof. Wright's office hours:** Mon. 11–12, Tues. 1:30–2:30, Wed. 10:30–11:30, Thurs. 10–11, Fri. 12:30–1:30 (see Moodle for the Zoom link)

**Help sessions:** Tuesdays 7–8pm (see Moodle for the Meet link)

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Today

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Friday

August 21

August 21

Introduction; modeling with differential equations

Do the following before next class:

- Read the syllabus, then complete the Syllabus Quiz (on Moodle).
- Watch this video:
*What are differential equations?* - From the textbook, read §1.1 and §1.2, at least up to the heading "Missing Solutions" on page 27. Complete the reading questions on Moodle before class on Monday.

Monday

August 24

August 24

Separation of variables

Do the following before next class:

- Finish reading §1.2, if you haven't done so already. Review the solutions to the problems from class (see the notes which will be posted after class).
- Read
*The Secret to Raising Smart Kids*by Carol Dweck and §1.3 in the textbook. Then complete the reading questions on Moodle. - Begin Homework 1 (due 4pm Friday).
- If possible, install Mathematica on your computer. We'll use it in class on Wednesday. See this help page for installation information.

Wednesday

August 26

August 26

Slope fields

Bonus video: John Urschel-NFL Math Whiz

Do the following before next class:

- Finish Homework 1 (due 4pm Friday).
- Read §1.4 and complete the reading questions on Moodle.
- If possible, install Mathematica on your computer. We
*will*use it in class on Friday. See this help page for installation information.

Do the following before next class:

- Watch the video Existence and Uniqueness. Also read §1.5, at least through page 67. (There are no reading questions for Monday.)
- Begin Homework 2 (due 4pm Wednesday).

Monday

August 31

August 31

Existence and uniqueness

Do the following before next class:

- Review the problems and solutions from class (see notes posted after class).
- Finish Homework 2 (due 4pm Wednesday).
- Read §1.6 in the textbook and complete the reading questions on Moodle.
*This week:*begin work on Lab 1: Euler's Method, due September 9.

Bonus video: Hannah Fry — Beautiful equations: how insects walk on water and galaxies form (the Navier-Stokes equations are differential equations!)

Do the following before next class:

- Review the problems and solutions from class (see notes posted after class).
- Read §1.7 and complete the reading questions on Moodle..
- Begin Homework 3 (due 4pm Monday).
- Work on Lab 1.

Friday

September 4

September 4

Bifurcations

*Meet in RML 115 — masks required!*Do the following before next class:

- Review the problems and solutions from class (see notes posted after class).
- Finish Homework 3 (due 4pm Monday).
- Read §1.8 in the text, paying close attention to the
*Linearity Principle* - Work on Lab 1.

Do the following before next class:

- Please complete the Week 3 Survey. Responses are voluntary and anonymous.
- Watch the video The Integrating Factor Method. Then read §1.9 in the textbook.
- Finish Lab 1 and submit your lab report to the Lab 1 assignment on Moodle.
- Begin Homework 4 (due 4pm Friday).

Bonus video: Yitang Zhang: An Unlikely Math Star Rises

Do the following before next class:

- Please complete the Week 3 Survey, if you haven't done so already. Responses are voluntary and anonymous.
- Re-read the subsection
*Comparing the Methods of Solution for Linear Equations*(p. 131–132). - Read §2.1 and complete the reading questions on Moodle.
- Finish Homework 4 (due 4pm Friday).
- If possible, bring a computer with Mathematica to class on Friday.

Do the following before next class:

- Read §2.2. Take note of how vector fields can be used to visualize the behavior of solutions to systems of differential equations. (There are no reading questions today.)
- Begin Homework 5 (due Wednesday).
- If possible, bring a computer with Mathematica to class on Monday.

Monday

September 14

September 14

Harmonic oscillation; Systems of differential equations

Do the following before next class:

- Read §2.3 and complete the reading questions on Moodle.
- Finish Homework 5 (due Wednesday).
- Review the Exam 1 Information. Talk with Prof. Wright if you have any questions.

Wednesday

September 16

September 16

Damped harmonic oscillation; Systems of differential equations

Homework 5

due at 4pm

due at 4pm

Bonus video: Moon Duchin: "Political Geometry"

Do the following before next class:

- Complete Homework 6 (due Friday).
- Study for the exam. Talk with Prof. Wright if you have any questions.

Do the following before next class:

- Complete the take-home exam problems.
- Study for the exam. Talk with Prof. Wright if you have any questions.

Monday

September 21

September 21

**Exam 1**

Do the following before next class:

- to be announced

Wednesday

September 23

September 23

Linear systems, linearity principle

Do the following before next class:

- to be announced

Friday

September 25

September 25

Linear systems and straight-line solutions

Do the following before next class:

- to be announced

Monday

September 28

September 28

Linear systems with real eigenvalues

Do the following before next class:

- to be announced

Wednesday

September 30

September 30

Linear systems with complex eigenvalues

Do the following before next class:

- to be announced

Friday

October 2

October 2

Linear systems with repeated eigenvalues

Do the following before next class:

- to be announced

Monday

October 5

October 5

Linear systems with zero eigenvalues

Linear system summary

Linear system summary

Do the following before next class:

- to be announced

Wednesday

October 7

October 7

Second-order linear systems

Do the following before next class:

- to be announced

Friday

October 9

October 9

Trace-determinant plane

Do the following before next class:

- to be announced

Monday

October 12

October 12

Forced harmonic oscillation

Do the following before next class:

- to be announced

Wednesday

October 14

October 14

Undamped forcing

Do the following before next class:

- to be announced

Friday

October 16

October 16

Resonance and beats

Do the following before next class:

- to be announced

Monday

October 19

October 19

to be determined

Do the following before next class:

- to be announced

Wednesday

October 21

October 21

**Exam 2**

Do the following before next class:

- to be announced

Friday

October 23

October 23

Nonlinear systems: equilibrium point analysis

Do the following before next class:

- To be announced

Monday

October 26

October 26

Nonlinear systems: nullclines

Do the following before next class:

- to be announced

Wednesday

October 28

October 28

Nonlinear systems: bifurcations

Do the following before next class:

- to be announced

Friday

October 30

October 30

Nonlinear systems: qualitative analysis

Do the following before next class:

- to be announced

Monday

November 2

November 2

To be determined

Do the following before next class:

- to be announced

Wednesday

November 4

November 4

Revisiting Euler's Method: Quantifying Numerical Error

Do the following before next class:

- to be announced

Friday

November 6

November 6

Improving Euler's Method

Do the following before next class:

- to be announced

Monday

November 9

November 9

Runge-Kutta Method

Do the following before next class:

- to be announced

Wednesday

November 11

November 11

Power Series Solutions

Do the following before next class:

- to be announced

Friday

November 13

November 13

Power Series Solutions

Do the following before next class:

- to be announced

Monday

November 16

November 16

Power Series Solutions

Final Exam Information: The final exam will consist of a short take-home portion and an in-class exam.

Thursday

November 19

November 19

Final exam

9:00 – 11:00am

9:00 – 11:00am