Syllabus

MAGN 514
Applied Mathematics I
Fall 1994
263 Green Center 9:30-10:45 TTh

Instructor: Erik Van Vleck
Office: Stratton 216
Office Hours: TTh 11:00-12:00 and 4:00-5:00
Text: Bender and Orszag, Advanced Mathematical Methods for Scientists
and Engineers

Grades:
Various Individual and Group Assignments (50)
1 Midterm Exam (30)
1 Final Project or Take Home Exam (20)

Important Dates:
Midterm (in class) on Thursday, November 17, 1994
Final project or take home exam due Tuesday, December 13, 1994 at 12 noon


Assignments due at the beginning of class.
NO LATE ASSIGNMENTS ACCEPTED UNDER ANY CIRCUMSTANCES



COURSE ANNOUNCEMENT

MAGN 514
Applied Mathematics I
Fall 1994, Green Center 263, 9:30-10:45 TTh

Instructor: Erik Van Vleck
Office: Stratton 216, X3553
Text: Bender and Orszag, Advanced Mathematical Methods
for Scientists and Engineers

OUTLINE

Introduction to linear and nonlinear ordinary differential equations
(ODEs)

Approximate solutions to linear and nonlinear ODEs

singular points

asymptotic relations and power series

phase-space interpretation

Perturbation Theory

regular and singular perturbation

Rayleigh-Schrodinger theory

matched asymptotic expansions

Boundary Layer Theory

inner, outer and intermediate limits

internal layers

WKB Theory

approximation of dissipative and dispersive phenomena

WKB approximation to Green's functions

tunneling

higher-order WKB approximations