Mathematics
Science (from Greek mthma, "information, contemplate, learning") is the investigation of such
themes as quantity,[1] structure,[2] space,[1] and change.[3][4][5] There are numerous perspec
Origin of mathematics
Galileo Galilei (1564 1642) stated, "The universe can't be perused until the point when we have taken in
the dialect and get comfortable with the characters in which it is compos
Rudimentary polynomial math contrasts from number-crunching in the utilization of deliberations, for
example, utilizing letters to remain for numbers that are either obscure or permitted to go up agai
Different meanings of "algebra"
"Algebra" has a few related meanings in arithmetic, as a solitary word or with qualifiers.
As a solitary word without an article, "algebra" names a wide piece of scienc
The history of mathematics can be seen as an ever-increasing series of abstractions. The first abstraction,
which is shared by many animals,[17] was probably that of numbers: the realization that a co
Three leading types of definition of mathematics are called logicist, intuitionist, and formalist, each
reflecting a different philosophical school of thought.[29] All have severe problems, none has
w
Galileo Galilei (15641642) said, "The universe cannot be read until we have learned the language and
become familiar with the characters in which it is written. It is written in mathematical language,
Galileo Galilei (15641642) said, "The universe cannot be read until we have learned the language and
become familiar with the characters in which it is written. It is written in mathematical language,
Formalist definitions identify mathematics with its symbols and the rules for operating on them.
Haskell Curry defined mathematics simply as "the science of formal systems".[32] A formal system is
a s
Aristotle defined mathematics as "the science of quantity", and this definition prevailed until the 18th
century.[27] Starting in the 19th century, when the study of mathematics increased in rigor and
The word mathematics comes from the Greek (mthma), which, in the ancient Greek
language, means "that which is learnt",[22] "what one gets to know", hence also "study" and "science",
and in modern Gree
Smith 1
n excellent text that has greatly reinforced some course material that only provided a very preliminary
exposure to design and analysis of experiments. With my initial course work, self-study
Smith 1
I used Dr. Montgomery's book as a reference material for his course under Arizona State University's six
sigma black belt program. The book starts with a good review of experimental design con
Chapter 9: Risk, Uncertainty
and the Market for Insurance
The policy of being too cautious is the greatest risk of all
Attributed to Jawaharlal Nehru (former Prime Minister of India)
Risk comes from n
Math 120A An Introduction to Group Theory
Neil Donaldson
Fall 2015
Text
An Introduction to Abstract Algebra, John Fraleigh, 7th Ed 2003, AdisonWesley (optional).
Also check the library for entries u
Quiz 10.2-10.3 Review
Standard Form of the Equation of a Circle
(x-h) + (y-k) = r
Center : (h,k)
Radius : r
General Form of the Equation of a Circle
x + y + Dx + Ey + F = 0
D, E and F are constants
5.6 - 5.8 Study Guide
The Law of Sines
Used to solve any oblique triangle
Need to know a side, its opposite angle, and any other angle or side
Formulas:
(sinA a) = (sinB b) = (sinC c)
(a sinA) =
Chapter 9 Test Review
Polar Coordinates
Graph of r=k is a circle
Graph of =k is a line
Graphs of Polar Equations
Set calculator to radians and POL
Rose (Ran)
r = a cos n
r = a sin n
Lemniscate
3.7, 4.6, 4.7 Test Review
Rational Functions
Holes: common factor
Zeros: numerator = 0
Y-intercept: plug 0 in for x
Slant Asymptote: degree of numerator is one more than denominator, y = mx + b
Vertic
CP-Geometry Circles and Arcs 10.6
Define each of the following, give an example or name one in the picture.
1. Circle:
2. Radius:
3. Congruent circles
4. Central angle
5. Semicircle
6. Minor arc
7. Ma
Cp-Geometry
Notes 11.1
Name:
How many vertices, edges, and faces does the polyhedron have?
Faces =
Vertices =
Edges =
Substitute the values in to Eulers Formula, to see if it is true.
F+V=E+2
What wou
Cp-Geometry
Corollary 1:
Corollary 2:
Corollary 3:
Example 1: Find the values of x and y in circle O.
Example 2: find the values of x and y
Example 3: Find the values of x and y
Example 4: Find the va
1-3 Measures of Center
Mean: sum of all values divided by the number of values
*finding the mean requires finding the sum of a data set*
n
Sigma/Summation Notation: f1 + f2 + f3 + + fn =
f
i =1
i
i re
1-4 Quartiles and Boxplots
So far, we can analyze data using mean, median, mode, and range. Unfortunately, we dont have
any visual representations to represent data with large ranges or too many data
Pre-Calculus 1.4-1.6 - Review
1.
Below :1 frequency histogram displaying average
expenditures per pupil for the 50 states in 1995.
Per Pupil Expenditures, 1995
Frequency '-
4-1 Measures of Angles and Rotations
Review of Geometry:
* BA is the rotation image of BC about point B
*360 degrees in a circle
*Counterclockwise (CCW) is the POSITIVE direction
*Clockwise (CW) is th