Math 305, Spring 2016

Course documents:

Announcements

  • Office Hours: Monday, Wednesday 1:00-3:00 pm
  • No class March 4
  • The Festival of Scholars Coordinating Committee writes:
    The Festival of Scholars is a campus-wide celebration of student work. It is an opportunity to discuss research, to exhibit, perform, or appreciate art, and to cross disciplinary boundaries. The Festival will be held on Friday, April 15, 2016. Classes will be cancelled on that day, but you are still required to participate in the Festival, either by presenting your work or attending presentations by your fellow students.

Homework assignments

  • Exercises 1.1, 1.2, 1.3 due Tuesday 26 January. Chapter 1 homework solutions
  • Exercises 2.1, 2.2, 2.3, 2.5, 2.6 due Monday 1 February
  • Exercises 3.1, 3.2, 3.6, 4.2, 4.3 due Friday 5 February Monday 8 February
  • Exercises 5.1, 5.2 (only check addition and scaling), 5.3, 5.4, 5.5, 5.8, 5.9 due Friday 12 February Wednesday 17 February
  • Exercises 6.2 and 6.11 are due Wednesday 17 February
  • Exercises 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9, 6.10 due Friday 19 February
  • Exercise 7.8 due Friday 26 February
  • Exercises 11.9, 11.12, 11.14, 13.3, 13.6, 13.8 due Friday 18 March.
  • Exercise 14.6 due Friday 1 April
  • All exercises from section 14.2 due Friday 8 April.
  • Exercises 17.1, 17.2, 17.3, 17.4 due Monday 18 April.

Some code you might enjoy

u0[x_] := Piecewise[{{x - 4, 4 < x < 5}, {6 - x, 5 < x < 6}}]
u[t_, x_] := u0[x + t]
Manipulate[
 Plot[u[t, x] - u[t, -x], {x, 0, 10}, 
 PlotRange -> {-2.1, 2.1}], {t, 0, 20}]

Enjoy these PhET simulations!

Wave on a String

Click to Run
Normal Modes

Click to Run
Fourier: Making Waves

Click to Run
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16 Responses to Math 305, Spring 2016

  1. Paul says:

    Typo in Exercise 1.1(1). The second instance of \alpha_1 should be \alpha_2.

  2. The last display on page 4 is garbage. Choosing both \alpha_1 and \alpha_2 to be 1, we obtain

    \displaystyle \mathbf{u} = \begin{pmatrix} 2\cos(\omega t) \\ -2\omega \sin(\omega t)\end{pmatrix}

  3. Emily says:

    Minor typo in the last sentence before Important Point 1.2 – complege should be complete.

  4. Emily says:

    Last sentence on Ex 1.1 – “Use these eigenvalues and eigenvectors to show *how to* obtain the scaling solutions (1.9) to (1.5).”

  5. Lars says:

    Ex 3.1 Dumb typo: last sentence should read “spatial shape being manipulated in time” instead of “spatial shape begin manipulated in time”.

  6. Lars says:

    Ex. 3.1 $\phi_1 : \mathbb{R} \rightarrow R$ should be $\phi_1 : \mathbb{R} \rightarrow \mathbb{R}$.

  7. Paul says:

    Second function in equation (4.15) should have x+t in place of x-t

  8. Lars says:

    Halfway down page 28: “Thus the functions…”, but you only define one function. I think you also meant to define $\phi_{-k}(x) = e^{-i\frac{\pi k}{L}x}$

  9. Emily says:

    Near the top of page 129 you write ” 1D-Dirichlet-dnergy-problem” which should be ” 1D-Dirichlet-energy-problem”. Just a baby typo.

  10. Karlie says:

    Exercise A4 in the appendix has three partial u partial x’s

  11. Emily says:

    In Exercise 14.6 (3) you refer to the “IBVP given by (??)”

  12. Emily says:

    14.11 (1) the x in the first term should have an exponent of (n+1) and in 14.11 (2) I’m pretty sure it should be negative.

  13. Emily says:

    The first bullet point on page 192 in Ch 17 I think should say square brackets rather than round brackets

  14. Emily says:

    17.4 you write “if an only if”

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