Remembering trigonometric formulas
Autumn 2012
Math 1181H
Jim Fowler
Neo: What are you trying to tell me? That I can memorize all
trigonometric formulas?
Morpheus: No, Neo. Im trying to tell you that
Log-Log graph paper
Math 1181H
Autumn 2012
Jim Fowler
Congratulations! Here is some log-log graph paper for you to plot the Dehn function.
Dehn function of Plane built from Unit Squares
40
35
30
25
20
Isoperimetric inequality
Math 1181H
Autumn 2012
Jim Fowler
How does perimeter compare to enclosed area? Here are familiar Euclidean examples.
k
r
s
k
s
k
perimeter = 4k
area = k 2
s
k
perimeter = 2r
a
Dog on the beach
Math 1181H
September 2012
Jim Fowler
Yesterday, we talked about the following problem.
A beach runs perfectly eastwest; a perfectly spherical dog
is 5 m north of the edge of the
water
Sums of angles in a triangle
Math 1181H
Autumn 2012
Jim Fowler
What do the three angles of a triangle sum to? In the Euclidean case, you know the answer.
c
a + b + c = 180
b
a
What about in the ve-squ
Tensions Between the
Romans and Jews
Romans
The Roman rulers thought
of Jesus as a threat to the
government and religion.
The Romans were very
furious because the Jews
refused to pray and honor
the
Poem
By Derek Adrian
At some point in time things in your life are going to finally be set and where
they're intended to be.
There are point in your life that come into play to fit snug side by side u
The properties of integers
Associative Properties
It states that you can
change where the
grouping symbols are
(moving the
parenthesis) in an
addition or
multiplication problem
and the result will be
Expressions, Equations &
Inequalities
Writing Expressions
I can translate between algebraic
expressions, equations, inequalities,
and words.
Simplifying Expressions
I can simplify and expand algebrai