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\title{Math 1b.  Lecture 28 \\
Qualitative Analysis of $dy/dt = f(y)$}

\author{T. Judson}

\date{Spring 2006}


\begin{document}

\maketitle


\section{Goals}

\begin{itemize}

\item
To understand and be able to find equilibrium solutions for autonomous differential equations.

\item
To understand and be able to determine the stability of equilibrium solutions for autonomous differential equations.

\item
To understand and be able to draw the phase line for an autonomous differential equation and be able to use this information to sketch solutions of equations of the form  $dy/dt = f(y)$.


\end{itemize} 







\section*{References}

\begin{itemize}

\item
\S 7.2 in 
James Stewart.
{\it Single Variable Calculus: Concepts \& Context}, third edition.
Brooks/Cole, Belmont CA, 2005.
ISBN 0--534--41022--7.

\item
\S 31.3 in
Robin J. Gottlieb. 
{\it Calculus: An Integrated Approach to Functions and Their Rates of Change}, preliminary edition. 
Addison Wesley, Boston, 2002.
ISBN 0--201--70929--5.


\end{itemize}



\section*{Notes}

\subsection*{April 21, 2006}



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