MATH100: Mathematical Thinking
Mathematics of Fractal Shapes
Homework (5 points)
1. Who is the inventor of fractals, and how did he get interested in fractals?
2. The Koch Snowflake
(a) Draw the Koch Snowflake show at least 3 steps of the process.
(b) Wha
Updates
Sustainability Project
You will be assigned to a Company,
and you will read their sustainability report,
and then take an online, open notes, quiz on the report.
These reports are all using the GRI format.
Company Assignments are completed and you
Summer 2015
MAT 263 Test Schedule
Please be sure to take all tests during the scheduled testing window. You should contact your testing
center of choice to make an appointment, or to determine if walk-ins are accepted. If you miss a test
window you will r
STUDY GUIDE FINAL EXAM
Exam format will include true/false and multiple choice questions. Many questions will
originate from the following groups of information though they will not be limited to these
topics:
Anatomical Movement
o What are planes, axes,
MAT 263
Derivatives by Hand
The Basics
Derivative Skills Test and Test 2
You have a skills test on finding the
derivative by hand.
You may not use any technology for this
test. It is only 50 minutes long.
This will cover finding the derivative by
using
Introduction
History about Facebook
Mark Zuckerberg.
Why Facebook?
URL
Posting
Think before you post.
Newsfeed
Timeline
Steps how to make a page on the Facebook
Create a page
Create you profile image
Create your cover image
Create the about section
THANK
MATH100: Mathematical Thinking
Ch04: Mathematics of Apportionment
(5 points)
1 [1p]. Using Hamilton's method of Apportionment, apportion 250 congress seats among A, B, C, D, E, and F
states in proportion to their respective populations, as given in Table
MATH100: Mathematical Thinking
Mathematics of Spiral Growth
Homework (5 points)
1. Who was Fibonacci, and what is he famous for?
2. Remember how the Fibonacci sequence is generated?
(a) Write the first 12 Fibonacci numbers.
(b) Write the number 110 as a s
MATH100: Mathematical Thinking
Homework Mathematics of Sharing
(5 points)
1.
Rudy gets the car. He pays 18000 but receive 71000 .
2.
Player C gets thirteen
MATH100: Mathematical Thinking
Homework Mathematics of Sharing
(5 points)
1.
Rudy receive the car. He pays 18000 but receive 71000.
2.
Player C receive thirteen
HIS 131 Summer 2015
Things to Remember
1. Go to COURSE RESOURCES, print out the Syllabus for easy retention. Also print out
the Journal parameters, Quiz parameters, and Course Chart sheets. They will come in
handy throughout the semester.
2. This course i
Baraah Alboeij
4B
Reading log #1
Northrop,Michael. Trapped. New York, 2011 pages 1-58
Scotty Weems is a sophomore at Tattawa Regional High School. He and his best friends, Pete
Dubois and Jason Gillispie, stay behind at school one snowy afternoon after an
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Ecology
Individuals
Communities
Populations
Ecosystems
Population Ecology
Primary Ecological Events
Birth (Natality)
Death (Mortality)
Immigration
Emigration
Primary Ecological Events
Change in Population
Density
100 individuals
20 offspring born in a yea
Anatomical Movement
Anatomical Movement
Anatomical Position
Standard reference position for the body when describing
locations, positions, or movements of limbs or other
anatomical structures
Characteristics
1)
2)
3)
4)
5)
Stand erect
Face forward
Arms a
1
Consider the curve given by
y = f (x)
Let P = x1, f (x1) be a point belonging to the curve.
Formula
The slope of the curve at P is
f (x1 + h) f (x1)
lim
h0
h
provided that the limit exists (two-sided limit).
(1)
2
Exercise Find the slope of the curve y
1
Leading Terms Rule
Let
am xm + am1 xm1 + + a1 x + a0
R(x) =
bn xn + bn1 xn1 + + b1 x + b0
be a rational function (where am and bn are both
am xm
lim R(x) = lim
x
x bn xn
0). Then
1
Leading Terms Rule
Let
am xm + am1 xm1 + + a1 x + a0
R(x) =
bn xn + bn1
1
Rule 3: (Power Rule)
1
Rule 3: (Power Rule)
d r
x =
dx
1
Rule 3: (Power Rule)
d r
x = rxr1
dx
provided that xr1 is dened, where r is a xed real number.
1
Rule 3: (Power Rule)
d r
x = rxr1
dx
provided that xr1 is dened, where r is a xed real number.
Proo
1
Example Solve the following inequality
x(3 + x)(1 x) < 0
1
Example Solve the following inequality
x(3 + x)(1 x) < 0
Solution
3
x
3+x
1x
p(x)
0
1
1
Example Solve the following inequality
x(3 + x)(1 x) < 0
Solution
x < 3
x
3+x
1x
p(x)
3
3 < x < 0
0
0<x<1
1
Piecewise-dened Functions
Example Consider the function f dened by
2
x
if 2 x < 0
f (x) = 2x
if 0 x < 2
4 x if 2 x 6
1
Piecewise-dened Functions
Example Consider the function f dened by
2
x
if 2 x < 0
f (x) = 2x
if 0 x < 2
4 x if 2 x 6
Find the value
1
Venn diagram
U
A
C
B
The universal set U is usually represented by a rectangle.
Inside this rectangle, subsets of the universal set are represented by
geometrical gures.
2
Venn diagrams help us identify some useful formulas in set operations.
2
Venn d
1
Equations of Lines
(1) If we know one point (x1, y1) and the slope m of a line L, can write equation
of L in the form
y y1 = m(x x1)
called the point-slope form of L.
1
Equations of Lines
(1) If we know one point (x1, y1) and the slope m of a line L, ca