The aftermath of Bell's tablet PC lectures
These are the lecture notes and videos of Bell's
tablet PC lectures.
- Lecture 1 on 01-08
and the
video Introduction
- Lecture 2 on 01-10
and the
video Basic facts, complex exponential
- Lecture 3 on 01-12
and the
video Topology on C, complex calculus
- Lecture 4 on 01-17
and the
video Complex power tools!
- Lecture 5 on 01-19
Cauchy-Riemann equations (Boilercast video failed)
- Lecture 6 on 01-22
Cauchy-Riemann equations, applications (Boilercast video failed again!)
- Lecture 8 on 01-26
and the
video More about the complex exponential
- Lecture 9 on 01-29
and the
video Complex logarithm(s)
- Lecture 10 on 01-31
and the
video Complex inverse function theorem, ii, Sec 3.4
- Lecture 11 on 02-02
and the
video Complex integration (Chap 4)
- Lecture 12 on 02-05
and the
video Complex integration
- Lecture 13 on 02-07
and the
video The Cauchy theorem (4.4b)
- Lecture 14 on 02-09
and the
video The Cauchy integral theorem
- Lecture 15 on 02-12
and the
video Cauchy estimates, Liouville's thm, Fund Thm Algebra
- Lecture 16 on 02-14
and the
video Morera's theorem and the Maximum modulus theorem
- Lecture 17 on 02-16
and the
video Maximum modulus theorem
- Lecture 18 on 02-19
and the
video More about harmonic functions
- Lecture 19 on 02-21
and the
video Complex power series
- Lecture 20 on 02-23
and the
video Power series
- Review on 02-26
and the
video Review for Exam 1
- Lecture 21 on 03-01
and the
video Power series, cont'd
- Lecture 22 on 03-04
and the
video Hadamard's formula for the radius of convergence
- Lecture 23 on 03-06
and the
video Zeroes of analytic functions
(Exam 1 solutions)
- Lecture 24 on 03-08
and the
video More about power series
- Lecture 25 on 03-18
and the
video Uniqueness theorem, Laurent expansions
- Lecture 26 on 03-20
and the
video Laurent expansions, Cauchy's theorem for an annulus
- Lecture 27 on 03-22
and the
video Isolated singularities
- Lecture 28 on 03-25
and the
video Residue theorem
- Lecture 30 on 03-29
and the
video More applications of the Residue theorem
- Lecture 31 on 04-01
and the
video Jordan's lemma
- Lecture 32 on 04-03
and the
video More fun with residue integrals
- Lecture 33 on 04-05
and the
video The Argument principle and Rouché's theorem
- Lecture 34 on 04-08
and the
video Total eclipse day: Fun with Fibonacci numbers!
- Lecture 35 on 04-10
and the
video Applications of Rouché's theorem and proof
- Lecture 36 on 04-12
and the
video Conformal mapping
- Lecture 37 on 04-15
and the
video Linear fractional transformations
- Lecture 38 on 04-17
and the
video Applications of Linear fractional transformations
- Lecture 39 on 04-19
and the
video Applications of conformal mapping
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