Source: http://mlwright.org/teaching/math230f18/
Timestamp: 2019-04-22 14:10:21+00:00

Document:
From the textbook, read §1.1 and §1.2, up to the heading "Missing Solutions" on page 27. Complete the reading questions on Moodle before class on Monday.
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.
Read §1.4 and complete the reading questions on Moodle.
Read this article and §1.6 in the tetbook. Then complete the reading questions on Moodle.
This week: begin work on Lab 1.
Read §1.7 and complete the reading questions on Moodle..
Read §1.8. Especially note the Linearity Principle and the Extended Linearity Principle..
Watch the video The Integrating Factor Method. Then read §1.9.
Finish Lab 1. You may submit your lab report on Moodle in PDF format or print it and place it in the homework box by 4pm Wednesday.
The next homework appears below. Because the lab is due Wednesday, this homework is due Friday.
Re-read the subsection Comparing the Methods of Solution for Linear Equations (p. 131–132). Then read §2.1, and complete the reading questions on Moodle.
Read §2.2. Take note of how vector fields can be used to visualize the behavior of solutions to systems of differential equations.
If possible, bring a computer with Mathematica to class on Monday.
Read §2.4 and complete the reading questions on Moodle.
Familiarize yourself with Lab 2: Bifurcation Plane, which is due on October 19.
The exam will consist of a short take-home portion and an in-class portion.
For the take-home portion, you may (and should) use Mathematica or other technology.
You may not use Mathematica or similar technology on the in-class exam. Calculators will be permitted, but probably not very helpful. The in-class exam will focus on conceptual understanding. It will involve basic calculus and some arithmetic, but not tedious arithmetic.
Read §3.1, and complete the reading questions on Moodle.
Fall break! No class Monday, October 15.
Finish Lab 2 (bifurcation plane). You may either submit your lab report on Moodle in PDF format or place it in the homework box by 4pm Friday.
The next homework includes exercises from §3.1 and §3.2. Because the lab is due Friday, the next homework is due Monday.
Read §3.4, and complete the reading questions on Moodle.
For review of linear systems, complete the Linear System Summary worksheet. This will give you a catalog containing the form of the solution and the phase portrait for all 2x2 linear systems of differential equations.
Extra credit opportunity: Attend the MSCS Colloquium by Minah Oh (Monday, Oct. 29, 3:30pm, in RNS 310) and answer these two questions on Moodle.
Start working on Lab 3.
Read §3.7 and complete the reading questions on Moodle.
Finish Lab 3 (linear systems).
Re-read §4.3. Understand that a forcing frequency very close to the natural frequency produces a large-amplitude forced response.
Study for the exam: see below for suggested review problems.
For the take-home portion, you may use Mathematica or other technology.
Extra credit opportunity: Attend the MSCS Research Seminar by Jasper Weinburd (Friday, Nov. 16, 3:40pm, in RNS 204) and answer these two questions on Moodle.
Extra credit opportunity: Attend the MSCS Colloquium by Wako Bungula (Monday, Nov. 19, 3:30pm, in RNS 310) and answer these two questions on Moodle.
Read §5.3 and complete the reading questions on Moodle. Pay special attention to the story on pages 490–493. Come to class knowing what is a conserved quantity and a Hamiltonian system.
Take a look at Lab 4.
Read §7.1. Note how we can quantify the error in approximating a solution using Euler's method.
Read §7.2. How can Euler's method be improved?
Read §7.3. Note that the Runge-Kutta is more sophisticated than Improved Euler's method.
Bring a computer with Mathematica to class next time, if possible.
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.
Final Exam Information: The final exam will consist of a short take-home portion and an in-class exam.
The take-home problems will be distributed on the last day of class and due at the final exam period. You may use technology and other course resources, but you may not talk to people (other than the professor) about these problems.
The exam will cover the all sections of the textbook that we have studied, with emphasis on the last third of the course.
For the in-class exam, calculators will be permitted, but probably not very helpful, and certainly not necessary. Mathematica and internet-capable devices will not be permitted.

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