MTH 415/515  COURSE INFORMATION 
SPRING 2008 
Catalog Description: Partial Differential Equations. 3 hrs. Elementary partial differential equations. Heat Equation, Lapaces's Equation, separation of variables, Fourier series, vibrating strings, eigenvalue problems, finite differences, Bessel functions, Legendre polynomials. (PR: MTH 331 and MTH 335)
Course Objectives:
Required Materials: Haberman, Richard. Applied Partial Differential Equations, With Fourier Series and Boundary Value Problems. Fourth Edition. Pearson/Prentice Hall. 2004. ISBN 0130652431.
Instructor: Dr. J. Silver
Office: SH 717
Telephone: 6963044
Email: silver@marshall.edu
Website: http://users.marshall.edu/~silver
Office Hours: 2:003:00 p.m. MWF;  10:00  11:00 a.m. TR 
Grading Policy: Grades will be figured on a percentage basis. There will be three chapter exams. The homework average will be counted as a chapter exam. Homework is due no later than 4 PM on the day it is due (usually two class days after assignment). The lowest six homework grades will be dropped. No excuses are accepted for late homework.
90  100% = A  80  89% = B  70  79% = C  60  69% = D  0  59% = F 
Attendance Policy: Attendance will be taken daily by collecting homework. Borderline grades will be determined by class attendance.
Exams: Tests will be given as scheduled in the syllabus.
If it is necessary to change the date of an exam, two class day's notification will be
given. If you are unable to take an exam due to unavoidable circumstances (e.g. illness,
death in the family, accidents), you must contact me prior to the exam time and furnish
written verification of the excuse in order to take a makeup test.
JAN 15  1.1 & 1.2 Heat in a OneDimensional Rod  
JAN 17  1.3 Boundary Conditions; 1.4 Equilibrium Temperature Distribution  
JAN 22  1.5 Derivation of the Heat Equation; 2.1 Separation of Variables  
JAN 24  2.2 Linearity; 2.3 Heat Equation, Zero
Temperatures


JAN 29  2.3 cont.  
JAN 31  2.4 Examples with the Heat Equation  
FEB 5  2.5 Laplace's Equation  
FEB 7  3.1, 3.2 Convergence Theorems  
FEB 12  3.3 Fourier Cosine and Sine Series  
FEB 14  Exam 1  
FEB 19  3.4 Differentiation of Fourier Series  
FEB 21  3.5 Integration; 4.1 & 4.2 Vertically Vibrating String  
FEB 26  4.3 Boundary Conditions on a String; 4.4 Vibrating String with Fixed Ends  
FEB 28  4.4 Vibrating Membrane; 5.1 Sturm Liouville Problems  
MAR 4  5.2 Heat Flow Examples; 5.3 Eigenvalue Problems  
MAR 6  5.4 Nonuniform Rod; 5.5 SelfAdjoint Operators  
MAR 11  5.6 Rayleigh Quotient; 5.6 Nonuniform String  
MAR 13  5.7 Boundary Conditions of the Third Kind  
MAR 18  5.9 Asymptotic Behavior; 6.1 Finite Differences  
MAR 20  Exam 2  
MAR 2224  Spring Vacation  
APR 1  6.2 Truncated Taylor Series; 6.3 Partial Differences  
APR 3  6.3 Fouriervon Neumann, Nonhomogeneity  
APR 8  6.4 2D Heat Equation; 6.5 Wave Equation  
APR 10  6.6 Finite Differences & Laplace's Equation; 6.7 Finite Element Method  
APR 15  7.1 & 7.2 Separation of Variables in 3D  
APR 17  7.3 Vibrating Rectangular Membrane; 7.4 Eigenvalue Theorems  
APR 22  7.5 Multidimensions; 7.6 Rayleigh Quotient in 3D  
APR 24  7.7 Vibrating Circular Membrane  
APR 29  7.8 Bessel Functions; 7.9 Circular Cylinders  
MAY 1  7.10 Spherical Problems, Legendre Polynomials  
MAY 8  Final Exam, Thursday, 10:15  12:15 AM 