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)

August 21

- 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.

August 24

- 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.

August 26

Bonus video: John Urschel-NFL Math Whiz

- 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.

- 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).

August 31

- 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!)

- 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.

September 4

*Meet in RML 115 — masks required!*

- 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.

- 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

- 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.

- 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.

- 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.

September 16

due at 4pm

Bonus video: Moon Duchin: "Political Geometry"

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

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

September 21

**Exam 1**

- Read §3.1, and complete the reading questions on Moodle.

September 23

Bonus video: How Not to Be Wrong: The Power of Mathematical Thinking - with Jordan Ellenberg

- Read §3.2 and complete the reading questions on Moodle.
- Begin Homework 7 (due Monday).
- Take a look at Lab 2, which is due on October 9.

September 25

- Read §3.3 and complete the reading questions on Moodle.
- Finish Homework 7 (due Monday).

- Read §3.4 and complete the reading questions on Moodle.
- Begin Homework 8 (due Friday).
- If you want to know more about Euler's formula, watch this video by 3Blue1Brown.

September 30

Bonus video: Talitha Washington — Big Ideas in STEM Innovation

- Review the problems and solutions from class (see notes posted after class).
- Read §3.5. Note what types of phase portraits can occur for linear systems with repeated (real) eigenvalue or zero eigenvalues. There are no reading questions today.
- Finish Homework 8 (due Friday).

- Review the problems and solutions from class (see notes posted after class).
- Review §3.3 through §3.5. Note the different types of phase portraits that can occur for linear systems, and how they are determined by the eigenvalues of the matrix of coefficients.
- Begin Homework 9 (due Wednesday).
- Work on Lab 2, due on October 9.

October 5

- Read §3.6 and complete the reading questions on Moodle.
- Finish Homework 9 (due Wednesday).
- Work on Lab 2 (due Friday). If you have questions about the lab, talk with Prof. Wright.

Bonus: Why is Mathematics Useful, and Applied Dynamical Systems Vol. 2 — Robert Ghrist

- Read §3.7 and complete the reading questions on Moodle.
- Finish Lab 2.

- Read §4.1 and complete the reading questions on Moodle. Take special note of the
*Extended Linearity Principle*. - Begin Homework 10 (due Wednesday).

October 12

- Read §4.2. Focus on the qualitative analysis and phase portraits. We will discuss "complexification" in class. There are no reading questions for Wednesday.
- Finish Homework 10 (due Wednesday).

Bonus video: Dr. Erika Camacho on *Horizonte* and LATMATH: Erika Camacho - "Modeling Photoreceptor Death and Rescue"

Extra credit opportunity: attend Explore MSCS on Thursday, Oct. 15, 4:00–5:00pm to earn 2 extra-credit points for your homework grade.

- Read §4.3 and complete the reading questions on Moodle.
- Begin Homework 11 (due Monday).

October 16

- Review §4.1–4.3.
- Finish Homework 11 (due Monday).
- Read the Exam 2 Information. Talk with Prof. Wright if you have any questions.

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

October 21

**Exam 2**

October 23

Bonus video: Francis Su — Mathematics for Human Flourishing

- Read §5.1 and complete the reading questions on Moodle.
- Begin Homework 12 (due Wednesday).

October 26

MSCS Colloquium: Monday, 3:15–4:15pm

- Read §5.2. Notice how analysis of equilibrium points and nullclines can provide a lot of qualitative information about solutions to systems of differential equations, even if you can't write down formulas for the solutions.
- Finish Homework 12 (due Wednesday).

- Read §5.3 and complete the reading questions on Moodle.
- Begin Homework 13 (due Monday).
- Take a look at Lab 3.

October 30

- Review §5.1–5.3.
- Finish Homework 13 (due Monday).

MSCS Colloquium: Monday, 3:30–4:30pm

- Read §7.1 and complete the reading questions on Moodle.
- Begin Homework 14 (due Friday).
- Start work on Lab 3.

November 4

- Read §7.2. There are no reading questions on Moodle for Friday, but as you read, answer the question: How is the improved Euler's method similar to the trapezoid rule from calculus?
- Finish Homework 14 (due Friday).
- Start work on Lab 3.
- Bring a computer with
*Mathematica*to class next time, if possible.

- Read §7.3. Note that the Runge-Kutta is more sophisticated than Improved Euler's method.
- Begin Homework 15 (due Wednesday).
- Start work on Lab 3, if you haven't done so already.
- If possible, bring a computer with Mathematica to class on Monday.

November 9

MSCS Colloquium: "Sharing Secrets" on Monday, November 9, 3:30–4:30pm

- Read Appendix B: Power Series (pages 742–748). Pay special attention to the examples, observing how power series can be used to find solutions to differential equations.
- Finish Homework 15 (due Wednesday).
- Work on Lab 3.

- Re-read Appendix B: Power Series (pages 742–748).
- Finish Lab 3.
- Begin Homework 16 (due Monday).

- Finish Homework 16 (due Monday).
- Review the final exam information (below).

Bonus: Living Proof: Stories of Resilience Along the Mathematical Journey

November 19

9:00 – 11:00am