Topics in Applied Mathematics (Special functions): Math 311
Fall 2009, MWF 11:30-12:20 in BLOC 161
Announcements
Homework
-
Homework 10, due December 2.
-
Read Chapters 2 and 6 of Spiegel.
-
Chapter 2, problems 50, 52, 53, 58(a), 67. In problem 58(a), it is not stated explicitly but is implied that you are looking for a solution which is a bounded function. Also be careful with the answer in that problem. In problem 67, the logarithmic term comes from the solution of the separated equation for lambda equal to zero.
-
Chapter 6, problems 36, 40, 44.
-
Homework 9, due November 18.
-
Read Chapter 2 of Spiegel.
-
Chapter 2, problems 34-38,
39, 40-41.
-
Solutions.
-
Homework 8, due November 11.
-
Read section 6.3 of Leon, Chapter 1 of Spiegel.
-
Section 6.3, problems 1(a,c,e), 2(a,c),
2(e), 6, 7, 11, 20.
-
Chapter 1, problems 27, 28, 32, 34, 35, 43(a-d),
43(e-g).
-
Solutions.
-
The second exam was on Friday, October 30, and covered all the material from homework assignments 4-7. The mean was 68%. Here are the answers. Here is a practice exam and solutions to it.
-
Homework 7, due October 28.
-
Read sections 5.5-5.6, 6.1-6.3.
-
Section 5.5, problems 12, 21(i), 27.
-
Section 5.6, problems 1(a), 3, 4, 5, 7.
-
Section 6.1, problems 1(a, c, e, g, i), 8, 9, 10.
-
Solutions.
-
Homework 6, due October 21.
-
Read sections 5.3-5.6.
-
Section 5.3, problems 1(a), 2, 5, 6.
-
Section 5.4, problems 2, 7, 8.
-
Section 5.5, problems 1, 3, 4, 6, 8.
-
Solutions.
-
Homework 5, due October 14.
-
Read sections 3.6, 5.1-5.3.
-
Section 3.6, problems 1(a), 2(a,c), 4(a-c), 8.
-
Section 5.1, problems 3(a-c), 4, 6, 8(a,b), 9, 13.
-
Section 5.2, problems 1, 2, 4, 6, 9.
-
Solutions.
-
Homework 4, due October 7.
-
Read sections 3.3-3.6.
-
Section 3.3, problems 1(a-c), 2(a-c), 5, 6(a,c), 7(b), 8.
-
Section 3.4, problems 1(a-c), 3, 4, 5, 6(b), 14(a,b).
-
Section 3.5, problems 1, 2, 3(a).
-
Solutions.
-
The first exam was on Friday, September 25. The mean was 87; here are the solutions. The exam covered Sections 1.1-1.4, 2.1-2.2, 3.2 of the textbook. Here is a practice exam and the solutions to it.
-
Homework 3, due September 23.
-
Read sections 2.2, 3.1-3.2.
-
Section 2.2, problems 1-4, 7.
-
Section 3.2, problems 1(a,b), 2(a,b), 3(a,d), 4(a-c), 6(a-c), 9(a,b), 10(a-c), 12, 14(a,b).
-
Solutions.
-
Homework 2, due September 16.
-
Read sections 1.3, 2.1-2.2.
-
Section 1.3, problems 12, 13(a), 14(a,b), 15, 16, 20, 26.
-
Section 1.4, problem 10(a, c, e, g).
-
Section 2.1, problems 1, 2, 3(a, c, e, g), 4, 6.
-
Solutions.
-
Homework 1, due September 9.
-
Read sections 1.1-1.3.
-
Section 1.1, problems 1(a,c), 4, 7.
-
Section 1.2, problems 1, 2(a,b,d), 3(a,b,d), 5(a,b,c,e,j), 17, 20(b).
-
Section 1.3, problems 1(a,c,e,g), 2, 4, 8(a,c), 10.
-
Solutions.
Professor: Michael Anshelevich, 326 Milner.
Office hours: M 1:50-2:40, TTh 11:10-12:10, or by appointment.
Text: Leon, Linear Algebra with Applications, 7th edition, Prentice Hall, ISBN 0131857851, and Spiegel, Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems, 1st edition, McGraw Hill, ISBN 0070602190.
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:
-
Matrices and systems of linear equations (Chapter 1 of Leon).
-
Vector spaces (Chapter 3 of Leon).
-
Inner products and orthogonality (Chapter 5 of Leon).
-
Eigenvalues and eigenvectors (Selected from Chapter 6 of Leon).
-
Bessel functions, Fourier series, and the heat equation (selected topics from Spiegel).
Exams: We will have two in-class tests on Fridays, September 25 and October 30. The final exam is on Wednesday, December 16, 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 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: September 4 (last day to add or drop a course), November 6 (last day for a Q-drop), November 26--27 (Thanksgiving).
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.