Methods and Applications of Partial Differential Equations: Math 602
Fall 2005, MWF 10:20-11:10 a.m. in CHEN 111
Announcements
- The final exam was Tuesday, December 13, 8-10 a.m., It has now been graded, and the results are available on WebCT. You can also see your course grade there; or if you prefer, you can email me to get it. I cannot give you the exam back at this point, but you are welcome to come by Thursday to take a look at it; please email me first. Otherwise, have a good break.
Homework
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Homework 13, for practice only.
- Read sections 7.3-7.4.
- Section 7.3, problems 1(a,b), 3, 7(a), 9, 13.
- Section 7.4, problems 2, 8, 11, 13.
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Homework 12, due Friday, December 2.
- Read Chapter 7.
- Section 7.1, problems 1(a), 3(a,b), 4.
- Section 7.2, problems 1, 2, 3, 4, 10. I suggest that you also read the statements of problems 13-18.
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Homework 11, due November 23.
- Read sections 6.3-6.4.
- Section 6.3, problems 1(a,c,e), 3(a,c), 4, 6, 9, 10.
- Section 6.4, problems 1, 3, 4, 6.
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Homework 10, due November 16.
- Read sections 6.1-6.3.
- Section 6.1, problems 1, 4, 5.
- Section 6.2, problems 2, 3, 4, 5, 7.
- The second midterm exam was Monday, November 7. It has now been graded, and the results are available on WebCT.
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Homework 9, due November 2.
- Read sections 5.2-5.3.
- Section 5.2, problems 1(a,b,c,d), 2, 4, 5, 7, 10.
- Section 5.3, problems 2, 4(a), 6, 7, 9. Do not do problem 11.
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Homework 8, due October 26.
- Read sections 4.4, 5.1-5.2.
- Section 4.4, problems 1, 2(a), 6, 7(b,c,e). Do not do problem 4.
- Section 5.1, problems 1(a,b), 2(a), 4, 6.
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Homework 7, due October 19.
- Read sections 4.2-4.4.
- Section 4.2, problems 1, 3, 6, 11, 15.
- Section 4.3, problems 3, 4(a,b), 6, 8, 12. You do not have to do problem 11.
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Homework 6, due October 12.
- Read sections 4.1-4.2.
- Section 4.1, problems 1, 2(a), 3, 4(a), 5(b), 6, 9.
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The first midterm exam was Monday, October 3. It has now been graded, and the results are available on WebCT.
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Homework 5, for practice only.
- Read sections 3.3-3.4.
- Section 3.3, problems 5, 7.
- Section 3.4, problems 3, 7.
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Homework 4, due September 28.
- Read sections 3.1-3.3.
- Section 3.1, problem 6 (a,b,c).
- Section 3.2, problems 1, 2, 3, 5, 6, 8.
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Homework 3, due September 21.
- Read sections 2.2, 3.1, 3.2.
- Section 2.2, problems 1, 2(a,b), 4, 5.
- Section 3.1, problems 1, 2, 3, 5, 9.
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Homework 2, due September 14.
- Read sections 1.3, 2.1-2.2.
- Section 1.3, problems 1(a,b), 2(b), 4(b), 8(a).
- Section 2.1, problems 1(a,b,c), 2(b), 6, 7, 8, 11, 13.
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Homework 1, due September 7.
- Read sections 1.1-1.3.
- Section 1.1, problems 1(a,g), 5, 6(b,e).
- Section 1.2, problems 1(a,c,d), 2(c), 4(a), 5, 8, 12, 13.
Syllabus
Professor: Michael Anshelevich, 326 Milner.
Office hours: M 11:20-12:20, TF 2-3.
Text: Bleecker and Scordas, Basic Partial Differential Equations, International Press, 2003.
Prerequisites: Math 601 or Math 308 and 407. In other words, ordinary differential equations, linear algebra, vector analysis and complex variables.
Course outline:
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Review of ODEs. Generalities of PDEs (Chapter 1)
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First-order linear PDEs (Chapter 2)
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First main equation: the heat equation (Chapter 3)
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Fourier series, general Sturm-Liouville theory (Chapter 4)
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Second main equation: the wave equation (Chapter 5)
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Third main equation: Laplace's equation (Chapter 6)
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Fourier transform methods (Chapter 7)
Exams: We will have two in-class tests on October 3 and November 7. The final exam is on Tuesday, December 13, 8-10 a.m. If, under completely exceptional circumstances, you need to miss one of the tests, a make-up exam will be given. Only University-approved excuses will be accepted, and you have to let me know preferably in advance, and no later than 2 days after the exam. The exams are closed book, closed notes, and calculators are not permitted. You should bring your ID to all tests.
Aggie Honor Code: "An Aggie does not lie, cheat, or steal or tolerate those who do."
Homework: weekly, due on Wednesdays in class. You are encouraged to work together, but straight copying of homework is not allowed. Late homework will not be accepted, but the lowest homework score will be dropped.
Grading: Homework 30%, each midterm test 20%, final 30%.
Other important dates: September 2 (last day to add or drop a course), November 4 (last day for a Q-drop).
Students with disabilities: Come talk to me no later than the first week of classes. "The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe that you have a disability requiring an accommodation, please contact the Department of Student Life, Services for Students with Disabilities, in Room 126 of the Koldus Building or call 845-1637."
Keys to success: Solve all the homework problems, well before the exams. Spend more than seven hours per week working on the problems. Form study groups to discuss the course material and homework problems. Read ahead in the text.
All printed handouts and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.