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 1.2 Mathematical induction
- Lecture 3 on 01-12
and the
video 1.3 infinite vs INFINITE!
- Lecture 4 on 01-17
and the
video 2.1 Basic properties of the real numbers
- Lecture 5 on 01-19
and the
video 2.2 Order, distance, topology on R
- Lecture 6 on 01-22
and the
video 2.3 Sup's and inf's
- Lecture 7 on 01-24
and the
video 2.4 Applications of the least upper bound property
- Lecture 8 on 01-26
and the
video 2.4-5 Nested intervals and Cantor's big idea
- Lecture 9 on 01-29
and the
video 2.5 More on nested intervals and Cantor's ideas
- Lecture 10 on 01-31
and the
video 3.1 Sequences, limits
- Lecture 11 on 02-02
and the
video
3.2 Basic limit facts
- Lecture 12 on 02-05
and the
video
3.3 Monotone convergence theorem
- Lecture 13 on 02-07
and the
video
3.4 Bolzano-Weierstrass theorem
- Lecture 14 on 02-09
and the
video
3.5 Cauchy sequences and the Cauchy criterion
- Lecture 15 on 02-12
and the
video
3.5 Cauchy criterion, part 2
- Lecture 16 on 02-14
and the
video
3.6, 3.7 Properly divergent sequences, series
- Lecture 17 on 02-16
and the
video
3.7, 4.1 Series, cont'd
- Lecture 18 on 02-19
and the
video
4.1 Limits of functions
- Lecture 19 on 02-21
and the
video
4.2 Limit theorems
- Lecture 20 on 02-23
and the
video
4.2, 4.3 Limit theorems
- Review on 02-26
and the
video
Review for Exam 1
- Lecture 21 on 03-01
and the
video
5.1 Continuous functions
(Exam 1 solutions)
- Lecture 22 on 03-04
and the
video
5.2 Combinations of continuous functions
- Lecture 23 on 03-06
and the
video
5.3 Continuous functions on a closed interval
- Lecture 24 on 03-08
and the
video
5.3 More about continuous functions
- Lecture 25 on 03-18
and the
video
5.4 Uniform continuity
- Lecture 26 on 03-20
and the
video
5.6 Monotone functions and continuity
- Lecture 27 on 03-22
and the
video
This and that before starting Differentiation (6.1)
- Lecture 28 on 03-25
and the
video
Differentiation (6.1)
- Lecture 29 on 03-27
and the
video
Mean value theorem (6.2)
- Lecture 30 on 03-29
and the
video
L'Hôpital's rule (6.3)
- Lecture 31 on 04-01
and the
video
Taylor's theorem (6.4)
- Lecture 32 on 04-03
and the
video
The Riemann integral (7.4, 7.1)
- Lecture 33 on 04-05
and the
video
Basic facts about the Riemann integral (7.4, 7.1, 7.2)
- Lecture 34 on 04-08
and the
video
The Fundamental theorem of Calculus (7.3)
- Lecture 35 on 04-10
and the
video
Applications of the integral (7.3, 7.5)
- Lecture 36 on 04-12
and the
video
Riemann's Riemann integral (7.1)
- Lecture 37 on 04-15
and the
video
Sequences of functions (8.1, 8.2)
- Lecture 38 on 04-17
and the
video
Uniform limits of continuous
functions (8.2)
- Lecture 39 on 04-19
and the
video
The exponential function and natural log function
(8.3)
- Lecture 40 on 04-22
and the
video
Fourier series converge!
- Review lecture 1 on 04-24:
Exam 2 solutions
and some practice problem
solutions
and the
video
- Review lecture 2 on 04-26:
Announcements
and some practice problem
solutions
and the
video
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