MATH 602: Methods and Applications of Partial Differential Equations

SECTION: 601

SPRING'17

General information

• Instructor: Dr. Prabir Daripa
• Office: Blocker 629D daripa@math.tamu.edu
• Lecture: TR 11:10 am - 12:25 pm
• Classroom: Bloc 163
• Office Hours: 1:00 pm - 3:00 pm on days I lecture and/or by appointment
• URL of this Handout: /~prabir.daripa/courses/math602-601.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 or 5th ed., Pearson Prentice-Hall.

Prerequisites:

MATH 601 or MATH 308 and 407.

Course Syllabus:

• ODE: Brief Review
• Fourier Series
• 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 Formation and Shock Waves.
• Advanced Topics (Time Permitting)

Homework page:

Daily homework assignments will be posted here. Every evening, you should look at the homework page for new homework assignment if any. I WILL not email the assigned homework.
Homework will be collected on Tuesdays (starting second week of classes) before the start of lecture on that day. I will assign several problems, only some 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.
If you do not do your homework completely and correctly on time, you are not likely to do terribly well in the course. Also note - if I or my grader can not read your work (or find it EASILY), do not expect much partial credit. Your work needs to be organized, identified, and complete.
There is a TA for this course whose name, office hour, office number and email address will be announced in class and through howdy portal by email.

First and Last day of class:

• First Day: January 17th (It is a Tuesday)
• Last Day: May 02nd (It is a Tuesday)

Exam Schedule:

• Midterm (March 7th (It is a Tuesday), 11:10 am - 12:25 pm in the classroom Blocker 163): The exam will be based on material taught up until February 28th (inclusive)
• Final (May 04th (It is a Thursday), 3:00 am - 5:00 pm in the classroom Blocker 163): The final exam will be based on material taught up until April 27th (inclusive)

Grading Policy:

• Your grade will be based on homeworks, one mid-term, final exam and a class project. The homework will count for 15% of your grade, mid term 25%, final exam for 40% and project 20%.
• Your MINIMUM grade will be A, B, C, or D, for averages of 90%, 80%, 65%, or 50%, respectively.

Make-up Policy:

• I will give make-ups (or satisfactory equivalents) only in cases authorized under TAMU Regulations

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.

Copying Course Materials:

• "All printed hand-outs and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor."

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:

• It is absolutely mandatory that you come to the class on time and do not leave early. Attendance will be taken and will be complete within 10 minutes of the start of the class, i.e., by 11:20 am. You will be marked absent for that day after the attendance has been taken even if you show up later. If for any unsual circumstance, you need special provision which falls outside the boundaries of these rules, please provide official documents at least 48 hours in advance and also talk to me in person. In order for you to be considered to have perfect attendance, you will be allowed at most three absences from class in addition to the University authorized absences. Only perfect class attendees will be considered for any grade inflation due to any kind of curve I may give at the end of the semester before giving final letter grade.

Disruptive behavior

• Please be aware there are special actions that may be taken which falls under University rules for disruptive behavior in class. It is upto my discretion what constitutes a disruptive behavior and I will explain this in class. One example: Walking in and/or out of class during my lecture constitues an example of disruptive behavior. This means you can not walk in my class after I started lecturing unless you have some urgent need or medical reasons in which case you should preferably sit in the back of the classroom and also let me know before the start of the class! Another example: talking to your fellow students in class while I am lecturing. If you need to, raise hand and take my permission before you do this. Using cell phone/phones, calculators or reading newspaper or any other course-unrelated materials in class without my authorization are some other examples of disruptive behavior.

Academic Integrity:

• Aggie Honor Code: "An Aggie does not lie, cheat, or steal or tolerate those who do."

Other information.

ADA Statement: 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, Disability Services Office, in Room B116 of Cain Hall or call 862-4570.

Aggie Honor Statement: An Aggie does not lie, cheat, or steal or tolerate those who do. Upon accepting admission to Texas A&M University, a student immediately assumes a commitment to uphold the Honor Code, to accept responsibility for learning, and to follow the philosophy and rules of the Honor System. Students will be required to state their commitment on examinations, research papers, and other academic work. Ignorance of the rules does not exclude any member of the TAMU community from the requirements or the processes of the Honor System. For additional information please visit: http://www.tamu.edu/aggiehonor/

Last updated:

• Date: 01-05-2017
• Time: 3:27 pm