SLIDE 1 MAT 137 — LEC 0601
Instructor: Alessandro Malusà TA: Muhammad Mohid September 10th, 2020 Notes:
- Watch videos before class!!
- Classes begin 10 minutes past the hour!
- Course website: http://uoft.me/MAT137
SLIDE 2
SLIDE 3
Calculus: more focus on computations
SLIDE 4
Analysis: more focus on proofs
SLIDE 5
MAT 137: Calculus with proofs
SLIDE 6
Correlation = causation, but...
SLIDE 7
Quick exercise
Take 45 seconds to look over the following list of pairs of words, but do not write anything down.
SLIDE 8 Quick exercise
Take 45 seconds to look over the following list of pairs of words, but do not write anything down. bread/b tter
leaf/tree music/l rics sweet/sour sh e/sock phone/bo k movie/actress chi s/salsa gasoline/engine high school/college pen il/paper river/b at turkey/stuffing fruit/vegetable be r/wine computer/chip television/rad o l nch/dinner chair/couch
SLIDE 9
What do you remember?
Write down as many pairs of words as you can. You do not need to remember which letters were missing or which column they were in.
SLIDE 10 What did you remember?
Mark each pair you remembered as “A" or “B" A B
bread/b tter leaf/tree music/l rics sweet/sour sh e/sock movie/actress phone/bo k gasoline/engine chi s/salsa high school/college pen il/paper turkey/stuffing river/b at fruit/vegetable be r/wine computer/chip television/rad o chair/couch l nch/dinner
Table: Word list from The Talent Code (by Daniel Coyle).
SLIDE 11
Why?
Most of you guessed more B-words than A-words. Why do you think this happened?
SLIDE 12
Why?
Most of you guessed more B-words than A-words. Why do you think this happened? Type your explanation on the chat, but DON’T PRESS ENTER.
SLIDE 13
A warm-up problem
SLIDE 14 A warm-up problem
- Pick 4 points at random on a circle
(without any symmetry).
SLIDE 15 A warm-up problem
- Pick 4 points at random on a circle
(without any symmetry).
- Join every pair of points.
SLIDE 16 A warm-up problem
- Pick 4 points at random on a circle
(without any symmetry).
- Join every pair of points.
- In how many regions is the circle divided?
SLIDE 17
A warm-up problem
# of points # of regions 4 8
SLIDE 18
A warm-up problem
# of points # of regions 4 8 5
SLIDE 19
A warm-up problem
# of points # of regions 1 2 3 4 8 5 N ???
SLIDE 20
A warm-up problem
# of points # of regions 1 1 2 2 3 4 4 8 5 16 N ???
SLIDE 21
A warm-up problem
# of points # of regions 1 1 2 2 3 4 4 8 5 16 N ??? 6 31
SLIDE 22
Another warm-up problem
How many triangles?
SLIDE 23
Another warm-up problem
How many triangles?
SLIDE 24
Another warm-up problem
How many triangles?
SLIDE 25
Another warm-up problem
How many triangles? Nope!
SLIDE 26
Another warm-up problem
How many triangles? Nope!
SLIDE 27
Another warm-up problem
How many triangles?
SLIDE 28
Another warm-up problem
What if we had only two horizontal lines?
SLIDE 29
Another warm-up problem
What if we had four horizontal lines?
SLIDE 30
Another warm-up problem
What if we had N horizontal lines? · · · N l i n e s · · ·
SLIDE 31 Before next class...
- Watch videos 1.1, 1.2, and 1.3
- Download the next class’s slides (no need to look at them!)
