Spring 2009

Instructor : Dr. Ashwin Vaidya

Schedule : Mon, Wed, Fri: 11:00-11:50 am.

Classroom : Phillips 367

Text : Advanced Engineering Mathematics (9th Ed.) by E. Kreyszig and Quick Introduction to Tensor Analysis by R.A. Sharipov.

Course Content :Chapters 12-17 of text book and Chapters 1-3 of Notes.

Link to Notes on Tensors Quick Introduction to Tensor Analysis

Office Hours : 336 Phillips, T, Th, 11am-12:30pm (or by appointment).

Email: : avaidya@email.unc.edu (Please say "math 529" in the subject heading of your email otherwise I may not read your mail.)

Grading: :Grades will be based upon 2 tests during the term and the final exam. The final total will be calculated according to the following formula: 2 Tests (Each 25%) + (25%) Final Exam + (25%) homework. The letter grades will be based on the following scheme: A:92-100, A-:90-92, B+: 88-90, B: 80-88, B-:78-80, C+: 75-78, C: 70-75, C-: 65:70, D:55-65, F: less than 55. The letter grades will be based upon the final total score of the student which may or may not be curved and is left to the instructors discretion. A grade of 'I' will not be given to avoid a grade 'F' or for additional study time. All exam schedules will be strictly adhered to.

Homeworks

• Hw1 (Due Wednesday, January 28, 2009): 1.1,1.3-1.7 (Solutions to HW 1)
• Hw2 (Due Friday February 6, 2009): 2.1-2.4, 3.3,3.4 (Solutions to HW 2)
• HW3 (Due Friday February 20, 2009)....(Solutions to HW 3)
• Hw4: Textbook problems Section 12.3# 14a,c,d, 15. Section 12.4# 3,10. Extra Problem: Derive the 3d Laplace's equation in spherical coordinates.(Due Wednesday March 18, 2009)...(Solutions to HW 4)
• Hw5: Textbook problems Section 12.9: #3,5,12.10: #3, 13.2: #4, 20, 21, 24, 27(Due Monday March 30, 2009)...(Solutions to HW 5)

Exams

• The first test and solutions can be found here: Test 1 ( Solutions)
• The second test is a take home exam and will be posted here on Friday April 3rd and due the following Monday in class.
• The final exam will be held in our usual classroom on Monday, May 4th, 2009 between Noon and 3pm.

Exam Policy: : No makeup exams will be given normally unless under extenuating circumstances. A missed test may be excused upon valid proof of absence. A valid missed test will be replaced by the final exam score . Please plan your activities and trips in such a way that it does not coincide with the tests. The dates for the exams are given below so please make sure to keep up your attendance. In case of any absences the student is responsible to obtain the notes for the class from a fellow classmate.

Additional Useful Links

• Some Brief Notes on PDE's

• MIT's open source notes on PDE's

Mathematica Tutorial Links

• A Brief Introduction to Mathematica

• Mathematica Documentation

• Mathematica Tutorial

Honor Code: The academic honor code system of UNC is based on the premise that each student has the responsibility 1) to uphold the highest academic standards in the student's own work 2) to refuse to tolerate violations of academic integrity and the university community 3) to foster a high sense of integrity and social responsibility as part of the university community. Please note that any violation of the academic honor code will not be tolerated in class. Specifically any kind of plagiarism or cheating in examinations will be rigorously pusued by the instructor.