MATH 462, PARTIAL DIFFERENTIAL EQUATIONS FOR SCIENTISTS AND ENGINEERS
SPRING, 2009
Instructor:
Konstantina Trivisa:
 Office: 3307 Mathematics Bldg
 Phone: (301) 4056865
 Office Hours: (Spring 2009)
Tuesday, Thursday 9:3010:20am.
 Email:
trivisa@math.umd.edu
Introduction to the subject of partial differential equations: first order equations (linear and nonlinear), heat equation, wave equation, and Laplace equation. Examples of nonlinear equations of each type. Qualitative properties of solutions. Method of characteristics for hyperbolic problems. Solution of initial boundary value problems using separation of variables and eigenfunction expansions. Some numerical methods.
Prerequisites:
MATH 241 and MATH 246
Main Text:

Walter Strauss
Partial Differential Equations  An introduction (Second Edition)
Class Times: Tuesday and Thursday: 11:00am  12:15pm.
Location: MTH B0429
Final Exam: Thursday May 14, 2009 8:0010:00am
Miterm 1: Thursday, March 12, 2009 (in class)
Miterm 2: Tuesday, April 28, 2009 (in class)
 COURSE OUTLINE (Tentative):
 First order equations
 Diffusion (heat equation) in one space variable
 The wave equation on the line
 Heat and wave equations in higher dimensions
 Laplace equation
 Epilogue: classification of second order linear equations
Homework and Quizzes: Homework will be assigned once a
week. There will be given approximately ten homeworks
during the semester from which only the best eight homeworks
will count towards your grade.
Grading (approximate):
 Homework: 20%
 Midterms I & II: 40%
 Final: 40%