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{\bf Math 325: Differential Equations \hfill Syllabus \& Assignments
\hfill Fall 1996}
\halign{\strut\hfil #\ &&\quad#\hfil\cr
\week
Aug. 28 & 4.1 $n$th order linear equations & \#1 p.194:1--21odd\cr
     30 & 4.1--2 $n$th order linear equations\cr
\week
 Sep. 2 & 4.2 Homogeneous equations with constant coefficients
        & \#2 p.200:1--27odd\cr
      4 & 4.3 Undetermined coefficients & \#3 p.205:1--17odd\cr
      6 & 8.1 Euler method [{\sl Quiz 1}]& \#4 p.392:1,3,5\cr
\week
      9 & 8.2 Errors & \#5 p.398:1,3,5\cr
     11 & 8.4 Runge-Kutta & \#6 p.409:1,3,5\cr
     13 & 6.1 Definition of Laplace transform
        & \#7 p.279: 1,3,5--8,11--14,26,27\cr
\week
     16 & 6.2 Solution of initial value problems & \#8 p.289:1--23odd\cr
     18 & 6.2--3 Solution of initial value problems\cr
     20 & 6.3--4 Step functions [{\sl Quiz 2}]& \#9 p.296:1--23odd\cr
        & {\sl Computer Assignment 1}\cr
\week
     23 & 6.4 Discontinuous forcing functions & \#10 p.303:1--13odd\cr
     25 & {\sl Review}\cr
     26 & {\bf Exam I}\cr
     27 & 6.5 Impulse functions & \#11 p.307:1--11odd\cr
\week
     30 & 6.6 Convolution integral & \#12 p.313 1--19odd\cr
Oct.  2 & 7.1 Intro to systems of 1st order equations & \#13 p.322:1--11odd\cr
      4 & 7.2 Matrices & \#14 p.332:1,3,11,13,23,25\cr
\week
      7 & 7.3 Linear systems/independence\cr
      9 & 7.3 Eigenvalues/vectors
        & \#15 p.343:1,5,7,9,12,13,15,17,21,23,25a\cr
     11 & 7.4 Basic Theory of 1st order systems
        & \#16 p.349:6,7\cr
\week
     14 & 7.5 Homogeneous systems, constant coefficients\cr
     16 & 7.5 Homogeneous systems, constant coefficients [{\sl Quiz 3}]
        & \#17 p.356:1--9odd, 17, 19\cr
     18 & 7.6 Complex eigenvalues  & \#18 p.364:1--9odd\cr
        & {\sl Computer Assignment 2}\cr
\week
  19--27& {\sl Fall Break}\cr
\week
     28 & 7.7 Repeated eigenvalues & \#19 p.371:1--9odd\cr
     30 & {\sl Review}\cr
     31 & {\bf Exam II}\cr
Nov.  1 & 7.8 Fundamental matrices & \#20 p.378:1--9odd\cr
\week
      4 & 7.9 Nonhomogeneous linear systems (variation of parameters)
        & \#21 p.385:1--7odd, 15\cr
      6 & 9.1--2 Autonomous systems & \#22 p.437:1--15odd\cr
      8 & 9.1--2 Phase plane: linear systems, Mma [{\sl Quiz 4}]
        & \#23 p.446:1--7\cr
\week
     11 & 9.3 Almost linear systems & \#24 p.456:1--15odd\cr
     13 & 9.3 Almost linear systems, Mma\cr 
     15 & 9.3 Pendulum, Mma\cr
\week
     18 & 9.4 Competing Species, Mma & \#25 p.471:1--5\cr
     20 & 9.5 Predator-Prey  & \#26 p.480:1--5\cr
     22 & 10.1 Separation of variables, heat conduction [{\sl Quiz 5}] 
        & \#27 p.518:1--11odd  \cr
\week
     25 & 10.1 Separation of variables, heat conduction\cr
     27 & 10.2--4 Fourier series (summary) & \#28 p.526:1, 5, 9, 15, 17, 21\cr
        & {\sl Computer Assignment 3}\cr
     29 & {\sl Thanksgiving}\cr
\week
Dec.  2 & {\sl Review}\cr
        & \#29 p.533:1--7odd \cr
      3 & {\bf Exam III}\cr
      4 & 10.5 Heat equation: non-homogeneous boundary conditions
        & \#30 p.550:2,3,5\cr
      6 & 10.6 Wave equation & \#31 p.559:1,4,5\cr
\week
      9 & 10.6 Wave equation\cr
     11 & {\sl Review}\cr
\week
Dec. 19 & {\bf Final Exam} Thursday, 1:45--3:45, NIEU 127\cr
}	

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