• Most links are to Maple or to files in Adobe portable document format (name.pdf). Printing these files is a bit tricky because of differences between printer and screen resolution. It is usually a good idea to magnify the file before printing. Maple sheets are Maple notebooks in Maple 5.0 for the most part. Those with Maple 5.1 should find that the new version is fully backward compatible.
• Syllabus and first day handout link
• Homework due week 2 link here
• The Gibbs phenomenon explained electronic handout, new and improved.
• The homework. Section 1.5 # 2, 7,8 Section 1.6 # 1,2,3, 6.
• Link here to text of those hwk problems.
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• Link here to a Mathematica notebook on the Fourier transform.
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• Homework due Thursday Feb 10: Section 1.9 p 113 # 1ab, 2[these steps are fishy. Do not justify them. Instead, identify the logical weak spots and then see if you can find some reason to think that despite the gaps in the logic, the ultimate conclusion might nevertheless hold. This sort of thinking is called heuristic thinking, and though it's no substitute for a proof it's a start. Many proofs are found by thinking along heuristic lines to start with.] 4[same as with 2], 5, 6, 10, 11. AND p 118 section 1.10 problems 1,2, 5a.
• Heat diffusion notebook.
• Homework due Feb 24: p 142 # 6,7 p 147 # 1,3,6 and p 155 # 2,5, 9.
• Maple sheet on diffusion with one end insulated and the other exposed to the elements. here . The file has been stripped of its big graphic to make it easier to download; re-execute the sheet to get that "movie".
• Heat diffusion in a thickening wire. Maple sheet
• Homework for Mar 2: p 161 # 1,2,5 p 167 # 3,4,6,10 p 175 # 1,4,5,6,10.
• There is no homework for March 9. But, please read section 3.1. Also, bring a rubber band to class. Solutions to the exam are posted in the two links below: a text link and a Maple sheet. Please read these; one use of a test is as a review and study guide to the final. Text pdf version and Maple accompaniment .
• The open and closed pipe, and conservation of wave energy. flute sounds .
• Maple sheet illustrating how moving waves going in opposite directions add to a standing wave. Maple file .
• Maple sheet illustrating and calculating the first two vibration modes of an antenna. Antenna Maple sheet.
• Maple sheets illustrating two approaches and their limitations: formal solution by separation of variables and numerical approach by grid averaging .
• A harmonic function on a disk. And, the quirky integral from the Vigre pizza party. link here.
• Hwk p 267 # 1,3,6. p 271 # 3,4, 8. p 277 # 3, 4, 8.
• Exam THURSDAY April 13.
• Solutions to exam 2. Maple sheet < a href="dalembert.mws"> solution to problem 4.
• Mathematica notebook about potential in a slot and in a disk. Also, a link to freeware that lets you read this kind of file.
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• One point bonus on the next quiz for having read the link. And now homework: p 306 # 1,5. p 309 # 1, 3. p 314 # 1,2, 6, 9, 10.
• The Bessel functions Maple sheet.
• Bessel functions and circularly symmetric drum vibrations Maple file .
• p 327 # 1, 3, 4, 8.