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{\bf Math 325: Differential Equations \hfill Syllabus
\hfill Fall 1997}
\halign{\strut\hfil #\ &&\quad#\hfil\cr
\week
Aug. 27 & 4.1 $n$th order linear equations & \cr
     29 & 4.1--2 $n$th order linear equations\cr
\week
 Sep. 1 & 4.2 Homogeneous equations with constant coefficients
        & \cr
      3 & 4.3 Undetermined coefficients & \cr
      5 & 8.1 Euler method & \cr
\week
      8 & 8.2 Errors & \cr
     10 & 8.4 Runge-Kutta & \cr
     12 & 6.1 Definition of Laplace transform
        & \cr
\week
     15 & 6.2 Solution of initial value problems & \cr
     17 & 6.2--3 Solution of initial value problems\cr
     19 & 6.3--4 Step functions & \cr
        & {\sl Computer Assignment 1}\cr
\week
     22 & {\sl Review}\cr
     23 & {\bf Exam I}\cr
     24 & 6.4 Discontinuous forcing functions & \cr
     26 & 6.5 Impulse functions & \cr
\week
     29 & 6.6 Convolution integral & \cr
Oct.  1 & 7.1 Intro to systems of 1st order equations & \cr
      3 & 7.2 Matrices & \cr
\week
      6 & 7.3 Linear systems/independence\cr
      8 & 7.3 Eigenvalues/vectors
        & \cr
     10 & 7.4 Basic Theory of 1st order systems
        & \cr
\week
     13 & 7.5 Homogeneous systems, constant coefficients\cr
     15 & 7.5 Homogeneous systems, constant coefficients 
        & \cr
     17 & 7.6 Complex eigenvalues  & \cr
        & {\sl Computer Assignment 2}\cr
\week
  18--26& {\sl Fall Break}\cr
\week
     27 & {\sl Review}\cr
     28 & {\bf Exam II}\cr
     29 & 7.7 Repeated eigenvalues & \cr
     31 & 7.8 Fundamental matrices & \cr
\week
Nov.  3 & 7.9 Nonhomogeneous linear systems (variation of parameters)
        & \cr
      5 & 9.1--2 Autonomous systems & \cr
      7 & 9.1--2 Phase plane: linear systems 
        & \cr
\week
     10 & 9.3 Almost linear systems & \cr
     12 & 9.3 Almost linear systems\cr 
     14 & 9.3 Pendulum\cr
\week
     17 & 9.4 Competing Species & \cr
     19 & 9.5 Predator-Prey  & \cr
     21 & 10.1 Separation of variables, heat conduction  
        & \cr
        & {\sl Computer Assignment 3}\cr
\week
     24 & {\sl Review}\cr
     25 & {\bf Exam III}\cr
     26 & 10.1 Separation of variables, heat conduction
        & \cr
     28 & {\sl Thanksgiving}\cr
\week
Dec.  1 & 10.2--4 Fourier series (summary) 
        & \cr
      3 & 10.5 Heat equation: non-homogeneous boundary conditions
        & \cr
      5 & 10.6 Wave equation & \cr
\week
      8 & 10.6 Wave equation\cr
     10 & {\sl Review}\cr
\week
Dec. 19 & {\bf Final Exam} Friday, 1:45--3:45\cr
}	

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