CS 560: Applied Partial Differential Equations

Section 01, Spring 2012

Course Information

Instructor: Dr. Adrian Vajiac

Office: VN 103, 545 W. Palm St.

Office hours: posted on personal webpage (see below), and by appointment.

Email and Webpage: avajiac@chapman.edu, http://www.chapman.edu/~avajiac

Text: Introduction to Partial Differential Equations: A computational approach, by A. Tveito, R. Winther, Springer-Verlag 1998,

Credits: 3

Prerequisites:

Math 210 Multivariable Calculus, Math 350 Differential Equations, or equivalent

Catalog Description:

Prerequisite, Math 210, Math 350 .  Students will learn how to solve certain types of Partial Differential Equations. They will study the general theory of PDEs, as well as methods of solving linear and non-linear PDEs. Students will also learn how to solve equations that come from the world of physics and other sciences.

Essential Equipment and Facilities:

Access to computer lab. Software: Matlab

Course Goals, Objectives and Content:

The purpose of the course is to familiarize students with the theory of partial differential equations. They will learn how to investigate different types of PDEs, as well as analyze the theory of general PDEs. They will learn to use appropriate mathematical notation and arguments.  Many of the results in the class are prototypes of more general results that apply in higher-dimensional situations. This class lays a foundation for fundamental research in mathematics, and through several practical applications students will see how the techniques of this course are used throughout mathematics and in other disciplines.  Applications and theoretical projects complement the lectures, providing some concrete hands-on examples of solutions with visual tools.

Homework: The homework consists of weekly written assignments. Each Homework is due on Mondays.

Final exam: The final exam (100 points) is comprehensive and is officially scheduled in the Chapman University Academic Calendar.

Important Note: As a general rule, there will be no make-up homework, no make-up tests.

Grading: Total 400 points, distributed as follows:

1. 1.Final Exam: 100 points 

2. 2.Homework: 300 points 

Tentative scale:

Chapman University’s Students with Disabilities Policy:
In compliance with ADA guidelines, students who have any condition, either permanent or temporary, that might affect their ability to perform in this class are encouraged to inform the instructor at the beginning of the term. The University, through the Disability Services Office, will work with the appropriate faculty member who is asked to provide the accommodations for a student in determining what accommodations are suitable based on the documentation and the individual student needs. The granting of any accommodation will not be retroactive and cannot jeopardize the academic standards or integrity of the course.

Academic Integrity: Students are assumed to be familiar with the Academic Integrity Code. Any violations of this code will be strictly dealt with in accordance with this code. You are responsible for all the information discussed in class and in the appropriate sections of the text, unless told otherwise.

Adrian Vajiac
Department of Math/CS
Chapman University.