The aftermath of Bell's tablet PC lectures
These are snapshots of the scribbled over remains of
what appears on the projector at the end of class when
the lecture is on a tablet PC.
- Lecture 1 on 01-09 and the
video
Bernoulli vs. Bernoulli
- Lecture 2 on 01-11 and the
video
Harpsichord problem
- Lecture 3 on 01-13 and the
video
and MAPLE
demo and
GIF
Fourier sine series
- Lecture 4 on 01-18 and the
video
Full Fourier series
- Lecture 5 on 01-20 and the
video
Even & odd functions, complex Fourier series
- Lecture 6 on 01-23 and the
video
The complex exponential
- Lecture 7 on 01-25 and the
video
Bessels' inequality
- Lecture 8 on 01-27 and the
video
Convergence of Fourier series
- Lecture 9 on 01-30 and the
video
Convergence, cont'd
- Lecture 10 on 02-01 and the
video
Fejér's kernel and theorem
- Lecture 11 on 02-03 and the
video
Solution to the Dirichlet problem
- Lecture 12 on 02-06 and the
video
The Poisson kernel
- Lecture 13 on 02-08 and the
video
Poisson kernel, cont'd
- Lecture 14 on 02-10 and the
video
Harmonic functions
- Lecture 15 on 02-13 and the
video
Averaging property of harmonic functions
- Lecture 16 on 02-15 and the
video
The poor old Riemann integral
- Lecture 17 on 02-17 and the
video
The hot wire problem (heat equation)
- Lecture 18 on 02-20 and the
video
Hot wire, cont'd
- Lecture 19 on 02-22 and the
video
and MAPLE
demo and
GIF 1 and
GIF 2
How to derive the heat equation
- Lecture 20 on 02-24 and the
video
"Good kernels"
- Review lecture on 02-27 and the
video
Review for Exam 1
- Exam 1 in class on 03-01: The
exam and
solutions
- Lecture 21 on 03-03 and the
video
D'Alembert's solution to the wave equation
- Lecture 22 on 03-06 and the
video
Isoperimetric inequality
- Lecture 23 on 03-08 and the
video
Weyl's equidistribution theorem
- Lecture 24 on 03-10 and the
video
Square drum problem
- Lecture 25 on 03-20 and the
video
and MAPLE
demo
Square drum, cont'd, Laplace transform
- Lecture 26 on 03-22 and the
video
The real Fourier transform
- Lecture 27 on 03-24 and the
video
Fourier sine and cosine transforms
- Lecture 28 on 03-27 and the
video
and MAPLE
demo
Complex Fourier transform
- Lecture 29 on 03-29 and the
video
Heisenberg uncertainty
- Lecture 30 on 03-31 and the
video
Dirichlet problem on upper half plane
- Lecture 31 on 04-03 and the
video
Integrable functions on the real line
- Lecture 32 on 04-05 and the
video
Fourier transform on Schwartz functions
- Lecture 33 on 04-07 and the
video
Fourier inversion
- Lecture 34 on 04-10 and the
video
Fourier transform of square integrable functions
- Review lecture on 04-12 and the
video
and MAPLE
demo
Review for Exam 2
- Lecture 35 on 04-14 and the
video
The Fundamental Theorem of Algebra
- Lecture 36 on 04-17 and the
video
Fundamental Theorem, cont'd
- Lecture 37 on 04-19 and the
video
Research stories
- Lecture 38 on 04-21 and the
video
Circular drum problem and Bessel functions
- Review 1 on 04-24 and the
video
Exam 2 solutions and review, part 1
- Review 2 on 04-26 and the
video
Review, part 2, Fourier series
- Review 3 on 04-28 and the
video
Review, part 3, Fourier transform
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