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Math 307C: Introduction to Differential Equations

10.30-11.20 MWF, GLD 435

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Announcements:
Final Exam: Monday, 17 March, 8.30am (Solutions)
Sample Finals: 1 | 2 (by Andrey Novoseltsev)

Supplementary Materials:
PDF Syllabus
Discussion Board (requires login with NetID)
Online Direction Field Plotter
Online Euler's Method Applet
Euler's Method with MATLAB
Sample Midterms with Solutions: 1 | 2
Complex Numbers, review by Ed Curtis

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Instructor: Luke Gutzwiller
E-mail: gutzwill@math.washington.edu
Office: ART 336

Office Hours:

Homework
Lecture Schedule

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Homework will be due (almost) every week on Wednesday. Assignments will be posted on the web. If you can't make it to class for whatever reason, you can leave your homework in my mailbox, which is in the Math Lounge in Padelford. The Lounge closes at 5. Only a few problems--possibly three--from each homework set will be graded; of course, I won't tell you which ones beforehand. That would spoil the fun.

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This course begins a three-quarter sequence covering linear algebra and differential equations, two very practical branches of mathematics used extensively throughout the sciences, engineering, computation, economics, and many other fields. Math 307 begins the study of ordinary differential equations. Students will likely have seen them before during their introductory calculus course; we will treat them in far more detail and learn many new tricks to solve them. The focus is on practical problem-solving rather than theory; students need only a background in basic calculus, but should be ready to do a lot of integration.

The textbook is Differential Equations and Boundary Value Problems, 8th Edition by Boyce and DiPrima. The book, and our lectures, will avoid most of the theoretical argumentation and proof to focus on hands-on techniques for solving problems motivated by the sciences and engineering. We will cover chapters 2, 3, and 6 of the book.

I will try to keep a schedule online here to keep track of what I cover in lecture each day.

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Final grades for the course will be based on a weighted average of one's percentage grades on the quarter's assignments. There will be weekly homework assignments worth a total of 10% of your overall grade. There will also be short, weekly quizzes most Fridays. The first week's quiz will be a calculus review, while later quiz questions will be taken from the homework turned in that week. These quizzes will count for 30% of your overall grade. There will also be one midterm and a final exam, worth 30% of your overall grade each. There will be no quiz the week of the midterm. Grades on individual exams or whatnot will not be curved, but your final, total grades for the course will be determined by a piecewise linear curve based on the overall performance of the class.

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The exams and quizzes will of course be closed-book. You may bring one 8.5x11" sheet of notes to the midterm and to the final. Feel free to use both sides if you like. You may not use notes on the quizzes. You may use a scientific or a graphing calculator if you wish. You will be required to show all your work to get full credit.

You may not make up a missed exam unless you have an extremely good excuse, like a medical emergency, funeral, or fire. If you know in advance that you will have to miss one, try to contact me at least one week beforehand to request a makeup. I may or may not grant you one, depending on the circumstances. If you miss an exam due to a sudden emergency, contact me as soon afterwards as possible. I may ask you for some kind of written confirmation, such as a doctor's note.

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