MATH 380 Partial Differential Equations

Spring 2001

Professor: Sarah N.Ziesler

Office: Lewis 307

Office phone: (708) 524 6838

Home phone: (708) 358 1365

Email: ziessara@email.dom.edu

Office Hours: 9.00-10.20 MWF 1.30-3.00 W 11.00-1.00 R

Lectures: MF 2.30-3.20 R 10.00-10.50 in Le300

Text: Partial Differential Equations - an introduction by Walter A. Strauss, Wiley.

Chapters studied: 1,2,4,5,6

Prerequisites: Mathematics 270, Mathematics 280

Course Objectives: this course aims to provide an introduction to the theory of partial differential equations, by focusing on the wave equation, heat equation and Laplace's equation, under a variety of boundary conditions.

Major Topics

  1. First order equations
  2. Types of second order equations
  3. Initial and boundary conditions
  4. Wave equation
  5. Heat equation
  6. Separation of variables
  7. Fourier series
  8. Harmonic functions and Laplace's equation

Course Requirements: There will be a test at the end of each chapter. These tests will have equal value. Homework assignments will count for 20%. Each student will give a short presentation (details of the assignments will be discussed in class) during the semester. This presentation, along with attendance and class participation will count for 5% of the final grade.

Attendance: Attendance will be taken at the beginning of each class. Should you be unable to attend I expect you to call me and explain your absence. Unexplained absences or frequent lateness may affect your grade. More than 8 absences will result in a course grade of F.

 Examinations: There will be a test at the end of each chapter. Make-up exams will not be given except in extraordinary circumstances and with prior approval. To arrange for a make-up exam you must call me or see me before the scheduled examination. Missed examinations automatically result in a grade of 0.

Homework: Homework will be assigned at least once a week and, unless otherwise stated, will be due one week from the day that it is assigned. Late homework will be accepted for credit only if you obtain prior approval. No homework will be accepted more than 1 class period late.

Grading Scale:

90-100 A

80-89 B

70-79 C

60-69 D

Below 60 F

I may curve the grades at the end of the semester if it is to your benefit.