Instructor: Christian Rudnick
Office: C-113 Padelford Hall
E-mail:
rudnickc@math.washington.edu
Shared Office Hours:
You can attend the following office hours, all of which take place in the math study center conference room:
M 12:30- 1:30 Austin Roberts
M 3:30- 4:30 Peter Caday
M 5:00- 6:00 Wai Tong "Louis" Fan
T 1:00- 3:00 Mary Radcliffe
T 3:30- 5:30 Lindsay Erickson
W 11:30-12:30 Austin Roberts
Th 11:30-12:30 Huy Tran
Th 12:30- 2:30 Christian Rudnick
F 10:30-11:30 Peter Caday
F 11:30-12:30 Huy Tran
Announcements:
[03/20/13] These are the course grades.
[03/16/13] Here are the solutions to the third worksheet.
[03/15/13] Here is worksheet 3. I'll post solutions tomorrow.
[03/13/13] Here are worksheet 2 and solutions. The important things to keep in mind are: (1) Follow the order we discussed in class: First determine the solution to the homogeneous equation, then determine the particular solutions of the nonhomogeneous equation, and finally use the initial conditions. (2) If the forcing term is a sum of functions, it suffices to determine the particular solution for each term seaparately and then add them. (3) If your guess for the particular solution of the nonhomogeneous equation is a solution of the homogeneous equation, multiply by "t".
[03/12/13] These are the notes you will be given for the final exam.
[03/11/13] Here are worksheet 1 and solutions. Wednesday's worksheet will be less tedious. Nothing that tedious will be on the final exam, yet somewhat tedious calculations do come up (e.g. partial fractions, method of undetermined coefficients) on finals, so it is a good thing to practice. Tedious computations set aside, today hopefully reminded you how to determine and classify equilibrium solutions and how to determine properties of autonomous equations without expicitly solving them; in particular, remember to use the chain rule first when you compute the second derivative. I primarily added parts (d) and (e) to keep fast students entertained. You sould, however, review how to use and when to use separation of variables and integrating factors.
[03/07/13] I updated the Laplace transform notes: They now include the all the material, I corrected an actual mistake on page 23 and avoid the use of two different terms and notations for characteristic functions.
[03/04/13] This is the note sheet for quiz 5.
[03/03/13] I made small changes in problems 7 and 8 of homework 8, both non-starred.
[02/23/13] I had to make a change to homework 7: I replaced problem 5 (starred). The reason is that the problem that I had previously assigned (3.8.10) cannot be done with the table of Laplace transforms in the book.
[02/12/13] I corrected a (minor) mistake in the solution to the third problem of the practice midterm. In observance of the upcoming midterm, I will give extended office hours on Thursday from 11:30-3:30.
[02/09/13] As announced, I have posted a new version of homework 6.
[02/08/13] Here are the practice midterm and the solutions. Remember that the practice midterm is supposed to give you an idea about the length and difficulty of the midterm. It does not necessarily mean that you will get a similar type of questions on the midterm.
[02/06/13] I set up an exam archive where you can find all the old quizzes, midterms, and finals as well as the practice versions and solutions that I gave for Math307. From now on, I will not stop making announcements on how to study for upcoming quizzes, etc. For every test you can find practice versions on that site.
[02/04/13] These are the notes you will be given for the midterm. If you feel that some formula is missing, let me know and I'll consider adding it.
[02/02/13] We will not have a quiz on February 11 since it is the week of the midterm. I corrected that statement in the fifth homework. Concerning the midterm: It will cover everything we have done up to Friday, February 1. This includes homeworks 1 to 5. There are three main differential equations (Separable equations, linear equations, and homogeneous constant coefficient second order equations) and four main applications (Motion, mixing problems including systems, interests, and population dynamics). Most likely, the midterm will consist of three story problems: An easy one (40%), one of medium difficulty (40%) and a hard one (20%).
[02/01/13] Here are the old quizzes from Winter 2012 (Solutions) and Spring 2012 (Solutions).
[01/31/13] As mentioned before, I fixed a typo on the answer to problem 4 of homework 4, a starred problem.
[01/30/13] I fixed several mistakes on problem 4 of homework 5. Moreover, I replaced problem 3 in homework 4 by a problem from Stewart, the book for the calculus series. Both problems are not starred.
[01/25/13] Quiz 2 on Monday, January 28, is about linear equations and integrating factors. This old quiz is from Spring 2012 (Solutions), there was no quiz on that topic in Winter 2012. On a different note, regarding the homework: As explained in the syllabus, I don't grade the homework; I have a grader for that job. Next, please check if you got the correct solutions after attempting the homework. That way you are more likely to learn how to do the problem, and you avoid getting marked off. You can do the following things: The numerical solutions are in the back of the book, and a couple of books are available in Odegaard; go to office hours, we have the book, solutions, and knowledge; use www.wolframalpha.com to check your solutions; do the homework in groups and compare your solutions (recall, however, to do the write-up part individually). Finally, I won't attempt to hand out quizzes and homework simultaneously like I did today. As everyone could see, it was a mess. I will always give priority to handing out homework, but you can always get your quiz after class (also, during my office hours). I publish grades on Catalyst as soon as I have them, see the link below in the section "About the course".
[01/22/13] Here are the solutions to the quizzes from Winter 2012 and Spring 2012.
[01/14/13] As January 21 is Martin-Luther-King day, we will write Quiz 1 on January 23. Here are the quizzes I gave in Winter 2012 and Spring 2012. The front page will be the same as in Spring 2012.
[01/14/13] For problem 1 on the second homework, you don't need to determine the interval on which the solution is defined. I deleted that part from the homework since we did not cover that in lecture. You won't have to do that on the quiz either.
[01/13/13] I have corrected a typo on the second homework, the first problem in the review section changed from 2/(x^2+3x+4) to 2/(x^2+3x-4). The problem is not starred.
[12/21/12] Hey there. The syllabus for this course can be found below in the section "About the course". I have taught this course twice before, in Winter 2012 and Spring 2012. For the present course, I will teach the material similarly as in the Winter 2012, and the exams will be of the same type as those I gave in Spring 2012.
Topics:
[01/07/13-01/11/13] Motion and Separable Equations. Notes. Correponds roughly to the example "A Falling Object" in chapter 1, chapter 2.2 "Separable Equations", and example 4 "Escape Velocity" in chapter 2.3.
[01/11/13-01/16/13] Mixing Problems and Linear Equations. Notes. Corresponds roughly to examples 1 "Mixing" and 3 "Chemicals in a pond" in chapter 2.3, and chapter 2.1 "Linear Equations; Method of Integrating Factors".
[01/16/13-01/23/13] Population Dynamics and Equilibrium Solutions. Notes: part 1 and part 2. Corresponds to chapter 2.5 "Autonomous Equations and Population Dynamics".
[01/25/13-02/01/13] Systems and Second Order Equations. Notes. Includes, but is not limited to, chapters 3.1 "Homogeneous Equations with Constant Coefficients", 3.3 "Complex Roots of the Characteristic Equation", and 3.4 "Repeated Roots; Reduction of Order".
[02/04/13-02/20/13] Mechanical Vibrations and the Method of Undetermined Coefficients. Notes. Corresponds to chapter 3.5 "Nonhomogeneous Equations; Method of Undetermined Coefficients", the material on mechanical vibrations from 3.7 "Mechanical and Electrical Vibrations" and 3.8 "Forced Vibrations".
[02/22/13-03/08/13] Electrical Vibrations and Laplace Transform. Notes. Corresponds to chapter 6.1 "Definition of the Laplace transform", 6.2 "Solution of Initial Value Problems", the material on electrical vibrations from 3.7 "Mechanical and Electrical Vibrations", 6.3 "Step Functions", and 6.4 "Differential Equations with Discontinuous Forcing Functions".
Homework:
Homework 1, never due.
Homework 2, due Friday, January 18, 3pm. Answers. Grades.
Homework 3, due Friday, January 25, 3pm. Answers. Grades.
Homework 4, due Friday, February 1, 3pm. Answers. Grades.
Homework 5, due Friday, February 8, 3pm. Answers. Grades.
Homework 6, due Friday, February 22, 3pm. Answers. Grades.
Homework 7, due Friday, March 1, 3pm. Answers. Grades.
Homework 8, due Friday, March 8, 3pm. Answers. Grades.
Tests:
Quiz 1, solutions, and grades.
Quiz 2, solutions, and grades.
Quiz 3, solutions, and grades.
Midterm, solutions, and grades.
Quiz 4, solutions, and grades.
Quiz 5, 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 Math307.
When preparing for an exam, look at my exam archive. 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.
Regrade Request Form
About the course:
Syllabus
Math 307 Materials Website
Grades (Catalyst)
Click here to write me an anonymous email to suggest improvements to the course.
