|
Research
Publications
MA515
Archived Lectures:
MA415
MA526
MA626
MA614
MA506
MA238
MA502
MA201
DMS
UAH
|
|
| |
MA 526 |
| Faculty: |
Prof.
S.S. Ravindran |
| Lecture Room: |
Madison Hall 301 |
| Lecture Time: |
MW 5:30p.m -- 6:50p.m. |
| Office Hours: |
MTW 3:00 - 5:00 p.m and by appointment. |
MA526:
Partial Differential Equations I
|
Applied Partial Differential Equations,
by Alan Jeffrey , 1st Edition;
Academic Press, 2003.
Additional References
1. Farlow, Stanley J. Partial Differential Equations for Scientists and
Engineers New York, NY: John Wiley, 1982.
2. Zachmanoglou, E.C. and Thoe, Dale W. Introduction to Partial
Differential Equations with Applications Mineola, NY: Dover, 1986.
3. Zauderer, Erich. Partial Differential Equations of Applied Mathemat
ics, New York, NY: John Wiley, 1983, 1989. Second Edition.
4. Haberman, Richard. Elementary Applied Partial Differential
Equations with Fourier Series and Boundary Value Problems,
Englewood Cliffs, NJ: Prentice Hall, 1987. Second Edition.
Introduction to the theory for solving partial differential equations. No graduate credit
given to students who have completed MA 506 for graduate credit. Topics include
second-order equations, reduction to canonical form, well-posedness, the classical
equations (wave, heat, and Laplace's) in one and several dimensions, separation of variables,
Fourier series, general eigenfunction expansions, Sturm-Liouville theory, first-order linear
and quasilinear equations, and shocks. Prerequisites: MA 238
(MA 506 is NOT a prerequisite.)
- Introduction to PDEs
- Linear and Nonlinear First-Order Equations and Shocks
- Classification of Equations and Reduction to Standard Forms
- Linear Wave Propagation in one and More Space Dimensions
- Fourier Series
- Background to Separation of Variables
- General Results for Linear Elliptic and Parabolic Equations
- Hyperbolic Systems, Riemann Invariants, Simple Waves and Compound
Riemann Problems
MA 238, ODE
Hourly examinations
There will be two in-class examinations during the semester.
These are scheduled for Oct. 13 and Nov 24.
Final examination
There will be a comprehensive final examination in December.
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 25% 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 |
| Two Mid-term Exams |
40% |
| Final Exam |
35% |
| Regular Assignments |
25% |
| 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 |
Dates |
Sections |
Comments |
| 1 |
08/30 to 09/03 |
1.1,1.2 |
.... |
| 2 |
09/05 to 09/10 |
1.3,1.5 |
....... |
| 3 |
09/13 to 09/17 |
2.1,2.2 |
... |
| 4 |
09/20 to 09/24 |
2.3,2.4 |
......... |
| 5 |
09/27 to 10/1 |
3.1,3.2 |
.... |
| 6 |
10/04 to 10/08 |
4.2 |
..... |
| 7 |
10/11 to 10/15 |
Review |
1st Midterm on 10/13 in class
|
| 8 |
10/18 to 10/22 |
4.3 |
.... |
| 9 |
10/25 to 10/29 |
4.3,5.1 |
.... |
| 10 |
11/1 to 11/5 |
5.2,5.3 |
.... |
| 11 |
11/8 to 11/12 |
6.1,6.2 |
.... |
| 12 |
11/15 to 11/19 |
6.3,7.1 |
.... |
| 13 |
11/22to 11/26 |
Review |
2nd Midterm on 11/22 in class
|
| 14 |
11/29 to 12/03 |
7.2 |
..... |
| 15 |
12/6 to 12/10 |
Review |
.....
|
| 16 |
12/13 to 12/17 |
Final Exam: 6:30-9:00 p.m., Dec. 13
|
.....
|
Note: This is an approximate syllabus only and because of differences in weekl
y schedules, some variations are to be
expected.
| Section |
Exercises |
| 1.1 |
1,2,3,4,5 |
| 1.2 |
1,2,4,5,6,10,11,12,13,14 |
| 1.3 |
1,2,3,4,5,6 |
| 1.5 |
- |
| 2.1 |
1-16 |
| 2.2 |
1,2,3,4,5,6,7,8 |
| 2.3 |
1-9 |
| 2.4 |
1-5 |
| 3.1 |
1,3-10 |
| 3.2 |
1,2,3,4,5 |
| 4.2 |
1,2,3 |
| 4.3 |
1,2,3 |
| 5.1 |
4,5,6,8,9 |
| 5.2 |
1-11 |
| 5.3 |
1-6 |
| 6.1 |
1-9 |
| 6.2 |
.............. |
| 6.3 |
1-17 |
| 7.1 |
.............. |
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.
FINAL EXAM
6:30-9:00 p.m., Dec. 13
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.
|
|
