This
version was revised on March 18, 2010.
Section
2
(CRN
32601) 
Section
1
(CRN
30066) 

Instructor 
Craig Sutton 
Meifang Chu 
Lecture
Time/Room 
MWF
12:30

1:35
Kemeny 007 
MWF
10:0011:05
Kemeny 105 
Xhour 
Tuesdays
13:0013:50 
Thursdays
12:0012:50 
Office
hours 
Wednesdays
14:0015:00 Thursdays 14:0015:30 
Thursdays
13:0014:20 Fridays 13:0514:20 
Office 
321
Kemeny 
245
Wilder 
Tel 
6461059 
6462971 
Email 
craig.sutton@dartmouth.edu 
meifang.chu@dartmouth.edu 
Chapter 1 & 2 
First Order Differential Equations 
Introduction,
direction
fields
and
classification of differential equations Introduction to matrix algera Linear and nonlinear equations; integrating factors; separable and exact equations Existence and uniqueness Theorem Euler method Autonomous equations and population dynamics 

Chapter 3 
Second Order Linear
Equations 
Homogeneous
equations Fundamental solutions, linear independence, the Wronskian Roots of the characteristic equation Nonhomogeneous equations Variation of parameters 

Chapter 4 
Higher Order Linear Equations 
General
theory
of nth order linear equations Homogeneous equations The method of undertermined coefficients Variation of parameters 

Chapter 5 
Series Solutions of Second Order Linear Equations 
Review of
power series, Series solutions: ordinary points Series solutions: regular singular points Bessel's equation 

Chapter
7

Systems of First Order Linear Equations 
Systems of first order linear equations Review matrices and linear algebra Eigen values, eigen vectors Homogeneous linear systems Complex eigenvalues Degenerate eigenvalues 

Chapter
9 
Nonlinear Differential
Equations and Stability 
Phase portraits of linear systems Autonomous systems and stability Almost linear systems 

Chapter
10 
Partial
Differential
Equations
and
Fourier
Series

Boundary
value problems and Fourier Series Fourier convergence theorem, even and odd functions Separation of variables, the heat equation More heat conduction problems The wave equation Laplace's equation 