MATH 372K (54325):  Partial Differential Equations (PDEs) and Applications – Fall18

General Information

Instructor: Irene M. Gamba (gamba@math.utexas.edu) 471-7150

Office hrs: TBA

Lecture Room: CPE 2.210,  T-TH 11:00 – 12:15pm,

 

TA: Clark Pennie (cpennie@math.utexas.edu ),

TA Office hours and informal discussion section:  Wednesdays 5-6:30pm - Room TBA  

 

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

Course webpage: http://www.ma.utexas.edu/users/gamba/F18/F18-m372.htm

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 may be required or encourage 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. 

 

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.

Policies

Homeworks: 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 write up and submit their own work. Computers can be found in the Undergraduate Computer Lab, RLM 7.122.

Exams: There will be three midterm exams. The tentative dates are

Midterm Exam 1:  Tuesday October 16th - in class test.

Midterm Exam 2:  Tuesday Nov 6th - in class test.

Midterm Exam 3:  Thursday November 29th -  in class test.

There is no Final exam for this class

      Course grading policy

100 points Homework
300 points Midterms (3 at 100 each)

Your highest possible cumulative grade from the midterms and homework is 400 pts.
Your final grade will be calculated according to the following table, using your total cumulative points from the Homework and three Midterms

above 330 A grade
from 320-329 A-  grade
from 310-319 B+  grade
from 260-309 B   grade
from 250-259 B-  grade
from 240-249 C+  grade
from 190-239 C   grade
from 180-189 C-  grade
from 140-179 D   grade
from below 140 F  grade

In the computation of the homework average, one homework grade (lowest) will be dropped. All homework assignments need to be turned in, even the last one.

 

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 appropriate 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 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

                         Please, make sure that cell phones are turned off.

Students with disabilities: 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.