Math 307L — Autumn 2019

Here is a list of final exam study topics. The final exam is cumulative, so expect about half of it to be from the first two sections of the class (i.e. the material from the two midterms). You should be in good shape if you review those midterms and can do the type of problems on them.


Here are the solutions to the Laplace transform worksheet. The final exam will be on Tuesday, December 10, 2:30 – 4:20 pm in our usual lecture room CHL 015. I will have office hours as usual on Friday afternoon, and also Monday afternoon, 1:30 – 4:00.


Here are lecture notes on the Laplace transform of piecewise defined and delayed signals, and solving IVP's with such terms as driving forces. You can ignore the "Advanced example" at the end if you want; it is there for those who want to see an example of the power of the Laplace transform for solving ODE's. Some of the examples are long, but you should be able to understand at each step how we go from line to the next, even if keeping track of the entire example is a bit too much. On the exam, like the homework, I will focus on doing single steps in the process, or maybe a simple problem start to finish.


Here is a link to a brief review of the partial fraction method. You can also find videos online at the Khan Academy. We will do plenty of examples in the coming days that illustrate the problems that will arise on the final exam.


Here are solutions to the second midterm. The median score was 45, or about 4 points higher than the first midterm. The mean was 42, or about 3 points higher than the first midterm. So the grade comments from the first midterm are still about right, considering that we still have a final exam to go.


Here are the practice quiz solutions. See you Friday!


Here is a study sheet for the second midterm. The exam will be given in our usual lecture room on Friday, November 15.
Here is an archive of practice exams . Not all of these problems were covered, so I don't expect you to be able to do all of them.
On Wednesday there will be a review for the exam. I will give a practice quiz on undetermined coefficients so you can test your knowledge.
My office hours will be shifted next week. I have a seminar at my usual office hours, so I will hold office hours Wednesday 5:00 – 6:00 pm, and also Thursday afternoon, 1:00 – 3:30 pm.


Here are solutions to the first midterm. The median score was 41. This exam counts for just 25% of your total score for the class, but if it were predictive of the rest of the quarter then a 39 would equate to 3.0, a score of 50 to 4.0, and a score of 28 to 2.0. In particular, I am concerned that students who got below 27 points on this midterm may be at risk of not passing the class, and should consider coming by office hours to talk about their performance.


Your first midterm will be this Wednesday, October 16.

Some general rules:

  • No note sheets allowed.
  • No calculators allowed.
  • You just need to bring a pen or pencil; your answers will be written on the exam that I hand out.
  • The exam will cover sections 1.1, 1.2, 2.1, 2.2, 2.3, 2.5.
  • You should know how to set up mixing models, interest rate problems, and population growth models. Know how to find equilibrium values of autonomous equations, and whether they are stable or unstable.
  • I will hold office hours Tuesday afternoon, 1:00 – 3:30 pm.
  • Archive of practice exams . Not all of these problems were covered, so I don't expect you to be able to do all of them.

Welcome to Math 307L!

My name is Hart Smith and I will be your instructor for Math 307L this quarter. I hope you had a pleasant summer break and are eager for the school year to begin. Please check out the Main 307 Webpage for an approximate syllabus, information on webassign, and the Religious Accommodation policy. I will be using this webpage to post updates to the syllabus, practice problems, and useful links, so check it regularly!

Differential equations (DE) are a highly applicable branch of mathematics. They are used in a variety of fields in science and engineering. This course studies ordinary differential equations, which concern functions of just one variable like in single-variable calculus.

This course relies heavily on integral calculus and I want all of you to be adequately prepared. Here are some practice problems and solutions:

I highly suggest that you go over these techniques. Your first homework will be due on Friday, September 27 (2nd day of class), and covers these techniques and other review topics. You will be using these techniques throughout the quarter.

If you have any questions, please email me at hfsmith (at) . I will also have office hours this week (and every week of the class).

See you in class on Wednesday, September 25!