Course documents:

- Course syllabus
- Notes, Part 1; please indicate typos and errors in the comments below.
- I found the exposition in Chapter 1 to be a bit confusing. Thus I wrote up a revised version, which you can download here: Chapter 1, revised version.
- Notes, Part 2(a) (chapters 5 and 6)
- Notes: Section 4.4 (revised) and Section 4.5 (revised)
- Notes: Chapter 7
- Notes: Chapter 8
- Notes: Notes Chapter 9 (updated)
- Chapter 10 is the midterm exam
- Notes: Chapter 11
- Notes: Chapter 12
- Notes: Appendix on Coordinates
- Notes: Chapter 13
- Notes: Chapter 14
- Paul’s version of the midterm essay
- Notes: Chapter 16
- Notes: Chapter17, part 1

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!

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

The last display on page 4 is garbage. Choosing both and to be , we obtain

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

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

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

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

Thanks!

One can also use “\to” in place of “\rightarrow”.

:)

Second function in equation (4.15) should have in place of

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

whoops nevermind I misread it.

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

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

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

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.

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

17.4 you write “if an only if”