MATH 372K (54950):  Partial Differential Equations (PDEs) and Applications – Spring 23

General Information

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

Office hrs: TBA
Lecture Room:  CPE 2.212  -   T-Th 11:00AM-12:30 pm   

Course webpage: http://www.ma.utexas.edu/users/gamba/S23/S23-m372K.html

 

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

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.

 

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

Midterm Exam 1:  Thursday March 9th - in class test.

Midterm Exam 2:  Thursday April 20th -  in class test.

There is no Final exam for this class

Course grading policy:

100 points Homework  + 300 points Midterms ( 2 at 150 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 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 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.

 

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.

 

CLASSROOM SAFETY AND COVID-19

To help preserve our in-person learning environment, the university recommends the following.

·       Adhere to university mask guidance. Masks are strongly recommended, but optional, inside university buildings for vaccinated and unvaccinated individuals, except when alone in a private office or single-occupant cubicle.

·       Vaccinations are widely available, free and not billed to health insurance. The vaccine will help protect against the transmission of the virus to others and reduce serious symptoms in those who are vaccinated.

·       Proactive Community Testing remains an important part of the university’s efforts to protect our community. Tests are fast and free.

·       The university has determined that all students coming to campus for the fall semester must receive a viral COVID-19 test in their local community within 72 hours prior to arrival in Austin for move in. If they already reside in Austin, they must test within 72 hours of moving into the residence where they will reside for the academic semester. Finally, individuals who are already living in the residence in Austin where they will reside this academic semester should test within 72 hours (3 days) prior to the start of class on Aug. 25.

·       We encourage the use of the Protect Texas App each day prior to coming to campus. 

·       If you develop COVID-19 symptoms or feel sick, stay home and contact the University Health Services’ Nurse Advice Line at 512-475-6877. If you need to be absent from class, contact Student Emergency Services and they will notify your professors. In addition, to help understand what to do if you have been had close contact with someone who tested positive for COVID-19, see this University Health Services link.

·       Behavior Concerns and COVID-19 Advice Line (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 or self-report (if tested off campus) to University Health Services. Visit Protect Texas Together for more information.

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.