MATH 372K (58085): Partial Differential Equations (PDEs) and Applications – Fall 24
General
Information
Instructor: Irene M. Gamba (gamba@math.utexas.edu)
Office hours: Thursdays 1 to 2pm
Lecture
Room: CPE 2.204 -
T-Th
11:00AM-12:30 pm
Required text:
Textbook: Applied Partial Differential Equations with Fourier Series
and Boundary Value Problems (5th Edition) (Featured Titles for Partial
Differential Equations) by Richard Haberman
(4th edition works as well)
Complementary textbook: Partial Differential Equations for Scientists and
Engineers (Dover Books on Mathematics) by Stanley J. Farlow
Description
Syllabus: Partial differential equations arise as
basic models of flows, diffusion, dispersion and vibrations. Topics include
first and second order partial differential equations and classification,
particularly the wave, diffusion, and potential equations, their origins in
applications and properties of solutions, characteristics, maximum principles,
Green's functions, self-adjoint operator, eigenvalue problems, Fourier and
general eigenfunction expansion methods. We will attempt to cover issues from
most of the first 12 chapters, with some sections skipped. Some material will
be covered from the complementary textbook. Use of
Matlab or Mathematica is encouraged on some assignments.
Prerequisites
M427K, with a grade of at least C. One of (linear algebra
courses) M311K or M340C or M341 or M346 and/or M361K or M365C is also
recommended.
Policies
Homework: Homework sets will be assigned weekly or
biweekly throughout the semester. It is acceptable for students to help each
other with the homework sets; however, each student must hand-write up and
submit their own work.
Exams: There will be
three midterm exams. The tentative dates are
Midterm Exam 1: Tuesday
October 15th - in class test.
Midterm
Exam 2: Tuesday December 5th
- in class test.
There is no Final exam for
this class
Course grading policy:
100
points from Homework + 300 points from Midterms (2 at 150 each)
The
highest possible cumulative grade from the midterms and homework is 400 pts. Your final grade will be calculated according
to the table, using your total cumulative score from the Homework and Midterms
above 340 A grade
from 330-339 A- grade
from 320-329 B+ grade
from 270-319 B grade
from 260-269 B- grade
from 250-259 C+ grade
from 200-249 C grade
from 190-199 C- grade
from 160-189 D grade
from below 160 F grade
In
the computation of the homework average, one homework grade (lowest) will be
dropped.
Exam policy: Books are not permitted during midterms. A valid photo ID
must be available to be checked at all exams. Make-up exams will not be given
so please remember the exam dates.
Exceptions will be
considered under extraordinary circumstances ONLY. This includes illness
or observance of a religious holiday (with 2 weeks advance notice).
Proper documentation (such as a doctor's note) is required in all illness cases.
Honor code: The core values of the
University of Texas at Austin are learning, discovery, freedom, leadership,
individual opportunity and responsibility. Each member of the university is
expected to uphold these values through integrity, honesty, trust, fairness and
respect toward.
Quantitative Reasoning
flag course:
This course carries the Quantitative Reasoning flag. Quantitative Reasoning courses are designed to equip you with skills
that are necessary for understanding the types of quantitative arguments you
will regularly encounter in your adult and professional life. You should
therefore expect a substantial portion of your grade to come from your use of
quantitative skills to analyze real-world problems.
Please,
make sure that cell phones are turned off.
The Registrar's
Calendar Links to an external site. notifies us that the main
drop deadline to include is Wednesday, November 20. This is the last day an
undergraduate student may, with the dean’s approval, withdraw from the
University or drop a class except for urgent and substantiated nonacademic
reasons. It is the last day an undergraduate student may change
registration in a class to or from the pass/fail basis.
CLASSROOM SAFETY AND COVID-19
To
help preserve our in-person learning environment, the university recommends the
following.
·
If
you develop COVID-19 symptoms or feel sick, stay home and contact the University Health
Services’
Links to an
external site. (BCCAL)
remains available as the primary tool to address questions or concerns from the
university community about COVID-19.
Students who test positive should
contact BCCAL.
Students Resources: The University of Texas at Austin provides upon request appropriate
academic accommodations for qualified students with disabilities. For more
information, contact the Office of the Dean of Students at 471-6259, 471-4641
TTY.