\documentclass[a4paper,10pt]{article}
%opening
\title{Math 3150-001: Partial Differential Equations for Engineers\\
Spring 2012 }
\author{Instructor: Andrej Cherkaev, JWB 225, 581-6822, cherk@math.utah.edu.}
\date{Time and Place: M., W., 10:45-11:35, WEB L102 }
\begin{document}
\maketitle

Partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several independent variables and their partial derivatives with respect to those variables. PDEs are used to formulate, and thus aid the solution of problems involving functions of several variables.

PDEs are for example used to describe the propagation of sound or heat, electrostatics, electrodynamics, fluid flow, and elasticity. These seemingly distinct physical phenomena can be formalized identically (in terms of PDEs), which shows that they are governed by the same underlying dynamic. PDEs find their generalization in stochastic partial differential equations. Just as ordinary differential equations often model dynamical systems, partial differential equations often model multidimensional systems. 

{\it Wikipedia: Partial differential equation}

~

{\bf Text}: Partial Differential Equations with Fourier Series and Boundary Value Problems by
Nakhle Asmar, Prentice-Hall, 2005; Second Edition.
Sections: 1.1, 1.2; 2.1 - 2.4; 3.1 - 2.9; 4.1 - 4.4; 7.1 - 7.4 

{\bf Office Hours}: F 10:00-12:00 pm,  or by appoitment.

{\bf Tutoring Center}: Free tutoring is available in the T. Benny Rushing Mathematics Center,
located between JWB and LCB. 

{\bf Prerequisite}: Calculus series, ODE, Linear Algebra.

~

{\bf Grading:} The course grade will be based on weekly homework (40\%), three midterm exams
(30\%), and a final comprehensive exam (30\%).

\begin{itemize}
 \item 
 Homework: weekly assignments will be posted on the web each WEdnesday and they will
be collected after one week. No late homework will be accepted, unless requested and
approved in advance, in extreme circumstances.
 \item 
 Midterms: there will be three 50 minute midterm exams. Under special circumstances, arrangements
can be made to take the exam at an earlier time, but no makeup exam will be given.
 \item 
 Final Exam: Thursday, May 3, 2012 10:30 am – 12:30 pm. The final exam is a
comprehensive exam, covering all materials in the semester.
 \item 
 Exam Policies: All the midterm and final exams will be closed books. You are allowed
to bring an index card with your own handwritten notes. Laptops, PDAs, and wireless 
devices are not allowed in exams.
\end{itemize}


\begin{table}
\caption{Syllabus}
\begin{tabular}{lll}
1 & 1.1-1.2 & Introduction \cr
2 & 2.1-2.2  & Periodic Functions and Fourier Series \cr
3  & 2.3-2.4  & More on Fourier Series \cr
4  & 3.1  & Examples in Physics and Engineering, Midterm 1 \cr
5  & 3.2-3.3  & One Dimensional Wave Equation \cr
6  & 3.4  & D{'}Alembert Method \cr
7  & 3.5-3.6  & One Dimensional Heat Equation\cr
8   & 3.7  & Two Dimensional Equations, Midterm 2\cr
9  & 3.8-3.9  & Laplace’s and Poisson’s Equations\cr
10 &  & Spring Break\cr
11  & 4.1-4.2  & Circular Coordinate and Vibration\cr
12  & 4.3-4.4  & Laplace’s Equation in Circular Regions\cr
13  & 4.4  & Laplace’s Equation in Circular Regions, Midterm \cr
14  & 7.1  & Fourier Integral Representation \cr
15  & 7.2-7.3  & Fourier Transform \cr
16  & 7.4-7.5  & Heat Kernel and Poisson Integral Formula \cr
\end{tabular}

\end{table}

{\bf Homework}

\begin{itemize}
\item
HW1.
Section 1.2: Problems 5, 11, 16. Section 2.1: Problems 2, 9, 12, 14, 19.

\item
HW2.
Section 2.2: Problems 5, 11, 15. Section 2.3: Problems 4, 17. (You may
use Maple) 
\end{itemize}
\end{document}
