MATH 602: Methods and Applications of Partial Differential Equations

SECTION: 200

SUMMER-II'08

General information

• Instructor: Dr. Prabir Daripa
• Office: Blocker 629D
• Phone No.: 845-1204 (I can't give grades over phone!)
• Lecture: MTWRF 10:00 - 11:35 am
• Classroom: Bloc 153
• Office Hours: MTWR 1:00 am - 2:00 pm and by appointment
• URL of this information: /~prabir.daripa/courses/math602-summer08.html

Course Description

Classification of linear partial differential equations of the second order; Fourier series, orthogonal functions, applications to partial differential equations; special functions, Sturm-Liouville theory, application to boundary value problems; introduction to Green’s functions; finite Fourier transforms.

Text Books

• (Required) Richard Haberman, Applied Partial Diffferential Equations, 4th ed., Pearson Prentice-Hall, 2004.

Syllabus

• Brief digression of ODE (scalar first and second order ode with constant coefficients) and Linear Algebra (Inner product space, orthonormal basis, Approximaition by projection, Orthogonalization)
• Fourier Series
• Special Functions and Orthogonal Polynomials
• Sturm-Liouville Problems
• Three Fundamental Equations of Classical Physics
• The Method of Separation of Variables
• The Method Eigenfunction Expansions
• The Method of Fourier and Laplace Transformations
• The Method of Green's Functions
• Sccond Order Linear PDEs and its Classification
• The Method of Characteristics
• Singularity formations and Shock Waves.
• Advanced Topics (Time Permitting)

• Prerequisites: MATH 601 or MATH 308 and 407.

Homeworks

• Homework will be assigned each class meeting and collected the following day for grading before the start of lecture on daily basis. I will assign several problems, only one of which will be graded. Late homework will not be accepted. However, if, for a legitimate reason you miss an assignment, I will simply drop the grade from your score.

Exam Schedule:

• Your grade will be based on homeworks, one mid-term and a final exam. The homework will count for 15% of your grade, mid term 35% and final exam for 50%.

Grading Policy:

• Your letter grade for the semester will be A, B, C, or D, for averages of minimum 90%, 80%, 70%, or 60%, respectively.

Make-up Policy:

• I will give make-ups (or satisfactory equivalents) only in cases authorized under TAMU Regulations. In borderline cases, I will decide whether or not the excuse is authorized. Also, if you miss a test, contact me as soon as possible. For University Regulations. See
  http://student-rules.tamu.edu and in particular
  http://student-rules.tamu.edu/rule7.htm
  

Bluebooks and Scantrons:

• I need two 8 sheet bluebooks (11" by 8.5") from everyone before the first exam, preferably by the end of first week of classes. Do not write your name on these. I will hand these out for use during the exams.

Cheating

• I take this very seriously, and will prosecute any case that I think I can prove. Scholastic dishonesty procedures will be rigorously enforced.

Identification:

• You must have your ID with you at all exams and quizzes.

Attendance:

• Attendance is required and rolls may be taken. Please come to the class on time and do not leave early.

Disabilities:

• 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 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.

Aggie Honor Code:

• An Aggie does not lie, cheat, or steal or tolerate those who do.
  Students are advised to see Honor Council Rules and Procedures on the web http://www.tamu.edu/aggiehonor

Copyright Laws etc.

• All printed and web materials are protected by copyright laws.
  
  
• The handouts used in this course are copyrighted. By "handouts", I mean all materials generated for this class which include but are not limited to syllabi, quizzes, exams, lab problems, in-class materials, review sheets, and additional problem sets. Because these materials are copyrighted, you do not have the right to copy the handouts, unless I expressly grant permission.
  
  
• As commonly defined, plagiarism consists of passing off as one's own ideas, words, writings, etc., which belong to another. In accordance with this definition, you are committing plagiarism if you copy the work of another person and turn it as your own even if you should have the permission of that person. Plagiarism is one of the worst academic sins, for the plagiarist destroys the trust among colleagues without which research can not be safely communicated.
  
  
• If you have any questions regarding plagiarism, please consult issue of the Texas A&M University Student Rules, under section "Scholastic Dishonesty".

Last updated:

• Date: 05-27-2008
• Time: 10:05 am