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\begin{document}
\small\rm
\begin{center}\large\bf Differential Equations and Linear Algebra \\
\small\sf Tentative Due Dates Spring 2015 \\
\small\sf 2280-10 12:55 PM in LCB 219 \\[2ex]
\end{center}

Questions: 801-581-6879, Office: 113 JWB.
 Email \ggustafemail{}
%{\tt ggustaf@math.utah.edu}.

% About 136 problems

%\footnotesize\rm
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\def\bx#1{\fbox{\bf #1}}
\begin{alltt}
HW 1, Due Week 2
\BF{1.1}: 1, 4, 5, 6, 9, 15, 19, 27, 29, 30, 32, 33, 34
    Reading. Required background. Nothing graded from 1.1.
\BF{1.2}: 1, \bx{2}, \bx{4}, 5, \bx{6}, 7, 9, \bx{10}, 13, 15, 16, 18,
    21, 22, 24, 26, 29, 31, 32, 33, 35, 40, 41
\BF{1.3}: 2, 3, 5, 6,\bx{8}, 10, 11, 13, \bx{14}, 23, 25, 26, 33
    Print: \href{http://www.math.utah.edu/~gustafso/exercise1.3-8-EdwardsPenney.jpg}{Exercise 1.3-8 image at 200\%}
\BF{1.4}: 2, 3, 4, \bx{6}, 9, \bx{12}, 13, \bx{18}, 19, 20, 21, \bx{22}, \bx{26}, 36,
    41, 42, 45, 46, 49, 51, 56, 59
\end{alltt}
\begin{alltt}
\BF{Computer Lab 1}, Due Week 3:
\href{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL1-intro-S2015.pdf}{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL1-intro-S2015.pdf}
HW 2, Due Week 3
\BF{1.5}: 1, 7, \bx{8}, \bx{10}, 13, \bx{18}, \bx{20}, 21, 23, 24, 33,
\bx{34}, 36, 39
\BF{3.7}: 1, 2, \bx{4}, 7 [LC and RC circuits, LRC after 3.6]
\BF{2.1}: 1, 3, 4, 6, \bx{8}, 10, 12, \bx{16}, 22, 23, 33, 37
\BF{2.2}: 5, 7, 8, 9, \bx{10}, 11, 15, 17, \bx{18}
\BF{2.3}: 2, 3, 9, \bx{10}, 13, 14, 17, 18, 19, \bx{20}, \bx{22}, 24, 25
\end{alltt}
\begin{alltt}
HW 3, Due Week 4, as a maple/matlab/mathematica computer project:
\href{http://www.math.utah.edu/~gustafso/s2015/2280/numericalDEproject-S2015.pdf}{http://www.math.utah.edu/~gustafso/s2015/2280/numericalDEproject-S2015.pdf}
\BF{2.4}: 2, 3, 4,\bx{6}, 10, 12, 17 Euler's method
\BF{2.5}: 3, 4, 5, \bx{6}, 10, 12 Improved Euler or Heun
\BF{2.6}: 3, 4, 5, \bx{6}, 10, 12 Runge-Kutta, RK4
\end{alltt}
\begin{alltt}
HW 4, Due Week 5
\BF{3.1}: 1, 6, 10, 27, 33, \bx{34}, \bx{36}, 37, \bx{38}, 39, \bx{40}, 41, \bx{42}, 43, \bx{46}, \bx{48}, 53
\BF{3.2}: 1, 2, 5, 8, 11,13, 16, \bx{18}, 19, 20, 21, \bx{22}, 23, 25, 26
\BF{3.3}: 3, 7, \bx{8}, 9, \bx{10}, 11, \bx{16}, 17, 23, 27, 31, \bx{32}, 37, 40
\BF{3.4}: 3, 4, 5, 6, 10, 11, 15, 17, 19, \bx{20}, 21, 33, \bx{34}
\end{alltt}
\begin{alltt}
HW 5, Due Week 6
\BF{3.5}: 2, 3, 5, \bx{6}, 10, 11, \bx{12}, 19, 21, \bx{22}, 25, 27, 29, 31, 34, 39,
  43, 45, 47, 51, 52, \bx{54}, 57, \bx{58}, 59
\BF{3.6}: 3, \bx{4}, 5, 7, \bx{8}, 9, \bx{11}, 13, 15, 17, \bx{18}, 20, 21, 22
\BF{3.7}: 1, 2, 4, 7, \bx{12}, 15, \bx{18}, 19 [LRC circuits]
\BF{Computer Lab 2, Newton Cooling},  Due Week 6. Choose one project.
\href{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL2-freezing-pipes-S2015.pdf}{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL2-freezing-pipes-S2015.pdf}
\href{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL2-swamp-cooler-S2015.pdf}{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL2-swamp-cooler-S2015.pdf}
\end{alltt}
\begin{alltt}
HW 6, Due Week 7
\BF{7.1}: 1, 3, 7, 9, 11, 13, 17, \bx{18}, 19, \bx{22}, 23, 27, \bx{28}, 29, 31, 40
\BF{7.2}: 3, 7, 9, \bx{10}, 15, \bx{16}, 17, 19, \bx{20}, 21, 23, \bx{24}, 35, 37
\BF{7.3}: 3, \bx{6}, 7, 9, \bx{12}, 13, 17, \bx{18}, 20, 23, 27, 28, 29, 30, 32, 34, 37
\end{alltt}
 % 7.4; convolution, s-derivative theorem, s-integral theorem
 % 7.5; unit step, pulse, ramp, second shift theorem, spring-mass, circuits, periodic function theorem
 % 7.6; Dirac impulse, hammer hit model, unit impulse response, unit step response
\begin{alltt}
 HW 7, Due Week 8
\BF{7.4}: \bx{2}, 3, 9, 13, 15, 17, \bx{22}, 23, 26, 27, 29, 30, \bx{36}, 37
\BF{7.5}: 3, \bx{4}, 7, 9, 11, 13, \bx{14}, 21, \bx{22}, 25, 27, \bx{28}, 31, 33, 34, 37
\end{alltt}
 % 4.1; first order system, brine cascade, spring-mass system, electrical network, Picard theorem
 % 5.1; matrix systems u'=F(u), u'=Au+g(t), superposition, vector-matrix Picard theorem
 % 4.2; Ziebur method (Example 4.2-1), Elimination method, Cayley-Hamilton theorem.
 % 4.3; RK4 numerical algorithm for systems.
 % 4.3 == 7.6 in EP 2250
\begin{alltt}
 HW 8, Due Week 9
 \BF{7.6}: 2, 5, 6, \bx{7}, \bx{8}, 11, \bx{12}, 18, 21, \bx{22} [impulses and Laplace]
 \BF{4.1}: 1, 3, 2, 5, 7, \bx{8}, 11, 12, 15, 17, \bx{20}, 21, 24, 26
 \BF{4.2}: 7, \bx{12}, 27; A Laplace or Cayley-Hamilton-Ziebur solution is acceptable.
 \BF{4.3}: 7, \bx{9}, 21;
 See RK4 for systems
 \href{http://www.math.utah.edu/~gustafso/s2015/2280/numericalVectorMethods.pdf}{http://www.math.utah.edu/~gustafso/s2015/2280/numericalVectorMethods.pdf}
\end{alltt}
 % 5.1, matrix systems, examples, picard, superposition
 % 5.2, system theory, eigenvalue method
 % 5.3, second order systems
\begin{alltt}
HW 9, Due Week 11 after Spring Break (Week 10, no classes)
\BF{5.1}: \bx{16}, 17, \bx{20}, \bx{22}, \bx{24}, 25, \bx{28}
\BF{5.2}: \bx{8}, 11, 13, \bx{20}, 21, 27, 29, \bx{30}, 31, 35, 39, 43, 45, 49
\BF{5.3}: \bx{6}, 9, 13, 19, \bx{24}, 27
\BF{Computer Lab 3, Laplace}
\href{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL3-laplace-S2015.pdf}{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL3-laplace-S2015.pdf}
\end{alltt}
\begin{alltt}
HW 10 does not exist. Spring Break.
No Quiz 10. No Lab 10.
\end{alltt}
 % 5.4; Jordan form, chain algorithm, railway cars
 % 5.5; matrix exponential, Putzer algorithm, fundamental solution
 % 5.6; vector-matrix variation of parameters, 3-tank brine cascade
\begin{alltt}
HW 11, due Week 12
 \BF{5.4}: 1, 7, \bx{11} , \bx{29}
 \BF{5.5}: 1, 3, \bx{4}, 11, \bx{12},  23,  \bx{38}
 \BF{5.6}: 1, 13, \bx{15}, 19,  \bx{23}
\end{alltt}
 % 6.1; equilibria, stability.
 % 6.2; phase portraits for non-linear systems, Paste Theorem
 % 6.3; populations and ecological models, predator-prey, competition, survival, extinction
\begin{alltt}
HW 12, due Week 13
 \BF{6.1}: 3, \bx{4}, 5, 7, \bx{8}, 11, 15, 17, \bx{18}
 \BF{6.2}: \bx{2}, 5, 7, 9, \bx{12}, 13, 17, 19, 21, \bx{22}, 23, 29
 \BF{6.3}: 5, 7, \bx{8}, \bx{9}, \bx{10}, 11, 18, 19
\end{alltt}
 % 6.4; nonlinear mechanical systems, hard and soft springs, nonlinear pendulum,
 % 6.5; chaos, period doubling, pitchfork bifurcation, York-Li, Feigenbaum. Examples: Duffing, Lorenz, Roessler
\begin{alltt}
 HW 13, due Week 14
 \BF{6.4}: 1, 3, \bx{4}, \bx{8}, 9, 10, 11, 13, 14
 \BF{Computer Lab 4, Resonance}
  \href{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL4-resonance-S2015.pdf}{http://www.math.utah.edu/~gustafso/s2015/2280/2280mapleL4-resonance-S2015.pdf}
\end{alltt}
 % 9.1; periodic time signals, Fourier series, Gibbs overshoot, signal reconstruction from sampling, mpg music
 % 9.2; Fourier-Dirichlet convergence theorem, Fourier coefficients, signal approximation, graphical intuition
 % 9.3; Even and odd signals, Fourier sine and cosine series, differentiation and integration of Fourier series
 % 9.4; Steady-state periodic solution, observables, damping effects, mechanical and electrical forcing effects
\begin{alltt}
 HW 14, due Week 15
 \BF{9.1}: \bx{6}, 7, \bx{10}, \bx{13}, 15, 17, 20, \bx{24}, 30
 \BF{9.2}: 2, \bx{8}, 9, \bx{20}
 \BF{9.3}: 1, \bx{4}, 9, \bx{17}, \bx{20}
 \BF{9.4}: \bx{1}, 7, \bx{9}, 13
\end{alltt}
 % 9.5; heat conduction, boundary value problem, superposition, separation of variables solution
 % 9.5; ice-pack ends, insulated ends, Dirichlet problem, Neuman problem, Robin problem
 % 9.6; string vibrations, infinite wave d'Alembert solution, finite wave separation of variables solution
\begin{alltt}
 HW 15, due by 6pm Tuesday May 5 under the door JWB 113
 \BF{9.5}: 1, 2, \bx{3}, \bx{7}, \bx{9}
 \BF{9.6}: 1,  \bx{5}
\end{alltt}
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