Math 307H, Introduction to Differential Equations, Spring 2012


Instructor: Christian Rudnick

Office: C-113 Padelford Hall
Email: rudnickc@math.washington.edu
Office Hours: Tuesday 12-1pm, Friday 12:20-1:20pm, in my office.

Announcements:

[7/1/2012] Here is the distribution of the course grades.
[5/28/2012] Here are the solutions to practice final and the solutions to last quarter's practice final. Finally, here are two practice problems for the final. They are non-standard. If there is time, I will go over one (or both) this week.
[5/26/2012] The practice final is an adapted version of last quarter's final. The notesheet will be the same one that you will be given for the final. If there is any formula that you would like to have on it, let me know and I will consider it. Last quarter's practice final is really bad. The problems are too tedious. I just posted it for completeness. I will post solutions soon.
[5/22/2012] Here are the notes for the jetpack example. As it turns out, the velocity is indeed negative at all times: The jetpack does not provide enough force to lift us. Not intended, but probably not unrealistic either.
[5/20/2012] I just uploaded the last homework. Note that there are two problems due, 3b and 4. The sixth and last quiz will be written on Friday, May 25, on problem 1 from homework 7. You will be allowed the same notes as on quiz 5. Every quiz will count equally into the total quiz grade, no matter how many points could be attained.
[5/12/2012] We will write the fifth quiz on Friday, May 18, from 2:10-2:20 during lecture. It will be based on problem 1 from homework 6. You will be allowed the following notes.
[5/10/2012] Here are notes for most of what we did on Monday and Wednesday. I'd appreciate if you would let me know about mistakes. Finally, please don't forget that you may note use the theorem for homework 5. You need to do those problems from scratch using the Laplace transform.
[5/7/2012] This weeks quiz is candeled, and the new homework due date is Friday, May 11, 2:30 pm sharp since I have to leave UW around 2:30. Wednesday office hours are canceled, and Friday office hours are moved to 9:40-10:20. From next week on, my office hours will be as follows: Tuesday, 12-1pm, and Friday, 12:20-1:20pm.
[4/30/2012] I will go over (parts) of these two problems on Wednesday.
[4/30/2012] Here are the solutions to the practice midterm. On Thursday, I'll give office hours from 4-9pm in my office. On Wedndesday, I will go over two problems in class that I will post soon.
[4/28/2012] Here is the practice midterm. The note sheet included will be the same that you will get for the test. If anyone thinks that I should include another formula on the note sheet, let me know and I will consider it. I will post solutions on Monday. You can also have a look at last quarters midterm, its solutions, as well as last quarters practice midterm, and its solutions. Last quarter, the midterm was only on the first three weeks of class because one week of class was canceled due to snow. One more comment on what will be covered on the midterm: You will need to know how to integrate functions using integration by parts, basic substitution, partial fraction decomposition, and the table of integrals provided. You will not need more complicated substitution methods like inverse trig substitutions.
[4/26/2012] The midterm will take place next Friday, May 4, during class time, 1:30-2:20, in our regular class room, Communications 230. You need to know how to set up differential equations for population dynamics, motion, heat transfer, mixing problems, and electrical circuits. Also, you will need to know how to solve separable equations, how to use the integrating factor method and the Laplace transform, and how to analyze solutions to autonomous equtions without explicitely solving them (i.e. finding and classifying equilibrium solutions, determining where the solutions are increasing, decreasing, concave, and convex). I will not ask you to prove properties of the Laplace transform on the midterm, but I might do that on the final.
[4/25/2012] Here are my notes on the Laplace transform. Anything before the LRC circuit example on page 13 is relevant for the midterm. There are also old notes on first order differential equations and Laplace transform from last quarter. The order of the material is quite different from ours, and sometimes I had a different emphasis .
[4/22/2012] Quiz 4 will take place on Friday, April 27. It will cover problem 1 from the fourth homework. The quiz will include this note sheet.
[4/17/2012] You will write the third quiz on Friday, April 20. It will be on problem 1 from the third homework. The quiz will include the same note sheet as last week. Remember that from now on we will make appropriate seating arrangments for the quiz.
[4/9/2012] There have been some issues with the homework, most likely due to the fact that a quarter of the class handed in unstapled homework. From now on, I will only accept stapled homework.
[4/9/2012] Some students attend classes across campus before our class and have trouble to get to the Communications building in time. That is why starting this Friday, April 13, we will have the quiz during the last ten minutes of class, from 2:10-2:20.
[4/8/2012] We will have the second quiz on Friday, April 13 (oops). It will be on problem 1 from the second homework. The quiz will include this note sheet which contains a table of integrals and a unit circle. Here are the quiz and solutions from last quarter.
[4/1/2012] Remember that we will have the first quiz on Friday, and that it will be on the material from problem 1 on the first homework. Here are the quiz and solutions from last quarter.
[3/21/2012] Hey there. Here is the syllabus for the course. I taught Math 307 last quarter, you might want to have a look at the class webpage from that course.

Homework:

  • Homework 1, due April 4, 4:00pm. Grades.
  • Homework 2, due April 11, 4:00pm. Grades.
  • Homework 3, due April 18, 4:00pm. Grades.
  • Homework 4, due April 25, 4:00pm. Grades.
  • Homework 5, due May 9, 4:00pm May 11, 2:30pm. Grades.
  • Homework 6, due May 16, 4:00pm. Grades.
  • Homework 7, due May 23, 4:00pm. Grades.
  • Homework 8, due May 30, 4:00pm Grades.

    Tests:

    In the grade distribution, N denotes the number of students that took the test, M the mean score, and Md the median score.

  • Quiz 1, solutions, and grades.
  • Quiz 2, solutions, and grades.
  • Quiz 3, solutions, and grades.
  • Quiz 4, solutions, and grades.
  • Midterm, solutions, and grades.
  • Quiz 5, solutions, and grades.
  • Quiz 6, solutions, and grades.
  • Final, solutions, and grades.

    Ressources:

  • WolframAlpha, an online computing system. Can integrate and solve differential equations, and is therefore a valuable tool to check your work and look for mistakes.
  • Other than my office hours, you can get help at the Center for Learning and Undergraduate Enrichment (CLUE) which provides help for a variety of math courses, including Math 307.
  • When preparing for an exam, you can have a look at the webpages previously taught courses at the math department's class archive. Many instructors upload the exams they gave during the course.
  • Here is a link to a list of trigonometric identities on Wikipedia.

    About the course:

  • Syllabus
  • Math 307 Materials Website
  • Grades (Catalyst)
  • Click here to write me an anonymous email to suggest improvements to the course.