MATH 348 - Fall 2015
Be yourself; everyone else is taken.
Instructor: John Lund
Office Wilson 2-230
TEXT: Partial Differential Equations and Boundary value Problems, Nakhlé Asmar.
Has a blue cover and the ISBN number is 0-13-958620-2
References Texts: A lot of material can be found in your math 274 text Fundamentals of Differential Equations, by Nagle, Saff and Snider (NSS) or Advanced
Engineering Mathematics by Zill and Cullen, 3rd edition (ZC).
1. A review of second order Ordinary Differential Equations (ODEs). pages 508
- 514 Exercises 3,7,15,21,23 which are discussed in Chaptes 2 and 3 of Z/C.
Just a little of first order and a fair amount of second order. Existence and
uniqueness, linear dependence and independence, homogenous solutions, the
Wronskian, non-homogeneous solutions, reduction of order, second order linear
equations (with constant coefficients).
2. Series solutions of ODEs. Power series solutions, singular points, and the
method of Frobenius. Two examples: The Bessel and Legendre differential
equations.
3. Fourier Series. Orthogonality, Fourier Series and the half-range (cosine and
sine) expansions.
4. Introduction to the heat equation.
There will be four homework assignments (total of 100 points) and four 50 point
written tests at (more or less) equal time intervals. Your final grade will be based on
300 points. Below is the grading scale.
Homework I
Homework II
Homework III
Homework IV
Four Tests
Grade Calculation
Possible
Points
20
30
25
25
50 per Test=200
Your
Grade
H1
H2
H3
H4
FS
4
X
Course Average is given by
Hj + F S
j=1
300
Course
GPA
%
100 − 94
4
93 − 88
3.7
87 − 84
3.3
83 − 78
3
77 − 74
2.7
73 − 68
2
67 − 60
1
59 − 0
0
Grade
A
AB+
B
C+
C
D
F