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          Partial Differential Equations II          

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DMS

UAH

       

UAH, Spring Semester

  MA 626
Faculty:  Prof. S.S. Ravindran
Lecture Room: Madison Hall 301
Lecture Time: TR 12:45p.m -- 2:05p.m.
Office Hours: TRF 3:00 - 5:00 p.m and by appointment.

 

 

Text I: Partial Differential Equations by Tyn Myint-U and L. Debnath , Prentice Hall, 1988.

Text II: Applied Partial Differential Equations, by Alan Jeffrey , 1st Edition; Academic Press, 2003.

Additional References

1. Zachmanoglou, E.C. and Thoe, Dale W. Introduction to Partial Differential Equations with Applications Mineola, NY: Dover, 1986.
2. Zauderer, Erich. Partial Differential Equations of Applied Mathemat ics, New York, NY: John Wiley, 1983, 1989. Second Edition.
3. Mark Pinsky, Partial Differential Equations and Boundary Value Problems and Applications
4. Walter Strauss, Partial Differential Equations an Introduction.

 

Theory for solving partial differential equations. Topics include maximum principle; existence, uniqueness and well-posedness of solutions; Greens functions and its applications to BVPs; variational method, Rayleigh-Ritz method and Galerkin method; systems of hyperbolic conservation laws, Riemann invariants and simple waves.

 

MA 526, PDE I

 

Hourly examinations

    There will be an in-class examinations during the semester. This is scheduled for March 15.

Final examination

    There will be a comprehensive final examination in May 1.

Make-ups

    No make-up tests will be given, and no accommodations will be made for a missed assignments. If you miss a test due to a documented illness, family emergency or other extreme circumstance, the weight of your remaining grades will be adjusted to compensate provided I receive a written excuse within a reasonable amount of time after the missed test.

Calculators

    No programmable or Graphic calculators are allowed in the tests. Only basic calculators are allowed. If the calculator costs more than $15, you are buying the wrong calculator.

Assignments

    Regular homework will be assigned weekly in your lecture sessions. Your cumulative regular assignment scores will make up 35% of the final course grade. Your assignment must be neatly written with appropriate discussions and stapled. Do not fold it or include it in envelope. Hand-in assignments are due at the beginning of the class period on the due date. Assignments that are not picked up in class the day I return them will be kept in my office. Please stop by to pick up your old assignments.

Practice Assignments

    Practice homework will be written on blackboard at the end of each section. These are for practice only and will not be collected or graded. If you have questions about them you may work with your classmates, ask me for assistance, and/or ask some questions during class. (We will not have time to answer all the questions in class.)

Course grading

    Each student's grade will be based on the individual grades from exams and assignments. The approximate percentage weights are as follows:

      Grade Weights

      Item Approx.
      Weight
      Mid-term Exam 30%
      Final Exam 35%
      Regular Assignments 35%
      Total 100%

      Grading Scale

      A 90.0 - 100%
      B 80.0 - 89%
      C 70.0 - 79%
      D 60.0 - 69%
      F Below 59.0%

    The grades will not be curved. That is, there is no quota for the number of A's, B's, etc. that will be given for the course.

 


Week Sections Comments
1 8.1,8.2,8.3 ....
2 8.4,10.1,10.2 .......
3 10.3,10.4 ...
4 10.5,10.6,10.7 .......
5 10.8,10.9 ....
6 13.1,13.2 .....
7 13.3, 13.4 ......
8 13.5,13.6 ....
9 13.7 ......
10 13.8,13.9 Midterm Exam on 03/15 in class

Week Sections Comments
11 ..... Spring Break
12 8.1,8.2 .....
13 8.3,8.4 ...
14 8.5,4.6 .......
15 Review ....
16 ..... Final Exam : 11:30-2:00 p.m., May 1 in class
Note: This is an approximate syllabus only and because of differences in weekl y schedules, some variations are to be expected.

 

Section Exercises
8.1 1,2,3,4,5
8.2 1,2,4,5,6,10,11,12,13,14
8.3 1,2,3,4,5,6
8.4 -
10.1-10.9 2,3,5,6,7,8,9,10,11,12,13,14,15
13.1-13.5 1,3,5,7,9,11,12,14,15

 

Section Exercises
8.1
8.2 1,2,3,4,5
8.3 1,2,3,4
8.4 1,2,3,4
8.4 1,2,3,4,5
You should try to read the chapter sections before class on the day indicated. Homework will be assigned weekly in the class, but not collected. You should consider the homework assignments as a minimal exercise. If you don't feel confident after doing the given homework, please do some additional exercises in the textbook. The more exercises you do, the better off you will be. If you have questions about them you may work with your classmates, ask me for assistance, and/or ask some questions during class. (We will not have time to answer all the questions in class.)

A free PDF viewer is available for most computer systems from clicking on the the icon shown below.

  • Old Midterm PDF File

  • Old Final PDF File New

 

Announcements

FINAL EXAM
11:30-2:00 p.m., May 1

 

Class attendance, preparation, and participation are required. Learning this course is not a spectator sport. Students having difficulties should seek assistance from the instructor. Students are encouraged to work together on problems that will not be graded. Students are expected to be honest and ethical at all times. Students with disabilities needing academic accommodations should 1) register with and provide documentation to the Student Development Services Office, and 2) bring a letter to the instructor from SDSO indicating you need academic accommodations. This should be done within the first week of class.

Links to access your grades etc

Student web to obtain grades etc.

Faculty web to post grades etc.