Topics in Applied Mathematics (Special functions): Math 311
Spring 2008, MWF 12:40-1:30 p.m. in the CE 136
Announcements
Homework
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Homework 14, for practice only.
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Read Sections 14.9-14.10.
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Section 14.9 (p. 720), problems 1, 5, 7, 13, 15.
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Section 14.10B (p. 727), problems 3, 5, 9.
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Homework 13, due April 23.
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Read Sections 14.8-14.10.
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Section 14.8 (p. 712), problems 3, 5, 9, 22, 23, 31, 32.
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Homework 12, due April 16.
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Read Sections 14.7-14.8.
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Section 14.7 (p. 705), problems 2, 3, 5(a,b), 7, 8(a).
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Homework 11, due April 9.
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Read sections 14.6-14.7.
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Section 14.5 (p. 695), problems 9, 11, 12, 15, 20.
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Section 14.6 (p. 698), problems 3, 4, 7.
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Homework 10, due April 2.
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Read section 3.7.
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Section 3.7B (page 167), problems 3-5, 7, 8, 11, 12, 17.
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Homework 9, for practice only.
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Read sections 3.6-3.7.
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Section 3.6C (page 154), problems 2, 3, 8, 11, 13, 16, 19, 21.
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Section 3.7A (page 158), problems 2-5, 7, 8, 11, 13.
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Homework 8, due March 19.
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Homework 7, due March 5.
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Read sections 3.4-3.6.
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Section 3.4 (page 130), problems 5, 6, 9, 13, 17, 19, 20.
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Section 3.5B (page 137), problems 3, 8, 10, 13, 17, 27, 35, 40, 41.
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Homework 6, due February 27.
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Read sections 3.2-3.4.
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Section 3.2 (page 118), problems 8, 9, 11, 13, 20, 26. Optional problems 7, 10, 16, 17, 27.
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Section 3.3 (page 125), problems 6-8, 11, 15, 17, 20, 24. Optional problems 16, 27.
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Homework 5, due February 20.
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Read sections 3.1-3.3.
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Section 3.1 (page 110), problems 1, 4, 5, 8, 9, 10, 13, 19.
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Homework 4, for practice only.
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Read sections 2.5, 3.1.
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Section 2.5 (page 98), problems 5, 6, 8, 9, 11, 17, 18.
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Section 3.1 (page 110), problems 1, 4, 5, 8, 9, 10, 13, 19, 23.
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Homework 3, due February 6.
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Read sections 2.3-2.5.
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Section 2.2D (page 73), problems 2, 4, 10, 11. Note the errors in the formulation of problem 10 and the answer to problem 11.
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Section 2.3 (page 80), problems 6, 10, 17, 33, 39.
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Section 2.4 (page 86), problems 8, 9, 19, 21, 23.
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Homework 2, due January 30.
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Read sections 2.1-2.3.
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Section 1.4 (page 31), problems 8, 15, 18, 21, 23.
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Section 1.6 (page 42), problems 7, 9.
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Section 2.1A (page 51), problems 5, 9, 12.
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section 2.2C (page 69), problems 9, 13, 19, 24, 28.
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Homework 1, due January 23.
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Read Chapter 1.
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Section 1.1, problems 9, 12, 14.
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Section 1.2, problems 25, 30, 32.
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Section 1.3, problems 3, 5, 13, 14.
Professor: Michael Anshelevich, 326 Milner.
Office hours: MT 1:40-2:40 p.m., F 3-4, or by appointment.
Text: Williamson and Trotter, Multivariate Mathematics, 4th edition, Pearson Prentice Hall, 2004.
Prerequisites: Math 221, 251 or 253, MATH 308 or concurrent enrollment therein. In other words, vector calculus, calculus of several variables, multiple differentiation and integration. Later in the course, we will also use series and differential equations.
Course outline:
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Review of vectors (Chapter 1)
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Systems of linear equations, matrices, determinants (Chapter 2)
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Vector spaces, linear transformations and their properties (Chapter 3)
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Differential equations, Fourier series methods (Chapter 14)
Exams: We will have two in-class tests on February 13 and March 26. The final exam is on Monday, May 5, 10:30 a.m. - 12:30 p.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.
Homework: weekly, due on Wednesdays in class. Homework problems may appear on the exams and quizzes. 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.
Quizzes: There will be short quizzes in class, approximately one for every two homework assignments, announced in advance. The lowest score will be dropped.
Grading: Homework and quizzes 30%, each midterm test 20%, final 30%. A total score of 90% or more guarantees an A, a score of 80% or more a B, 70% or more a C, 60% or more a D.
Scholastic Dishonesty:
Cheating of any form is not acceptable and it will be dealt with harshly. In particular, copying work done by others, either in-class or out of class, is an act of scholastic dishonesty and it will be prosecuted to the full extent allowed by university policy. Collaboration on assignments is permitted for this course, however each student must write up their own solutions. For more information on university policies regarding scholastic dishonesty, see the University Student Rules.
Aggie Honor Code: "An Aggie does not lie, cheat, or steal or tolerate those who do."
Other important dates: January 18 (last day to add or drop a course), January 21 (holiday), March 10-14 (spring break), March 21 (reading day), April 1 (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."
Attendance: According to the University Student Rules, absence for three or more class days requires a University-approved excuse and documentation.
Keys to success: Attend class (of course :) 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.