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Texes Test Prep
Test Prep Material for Texes Math 135
26
Mathematics
Graduate
05/08/2013

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Term
Natural Numbers
Definition
set of counting number ex. 1,2,3,4
Term
integers
Definition
natural numbers plus 0 and the natural numbers negative counterparts ex. -2,-1,0,1,2,3
Term
Rational number
Definition
A quotient of two integers a/b where b is not 0. ex 1/3
Term
Irrational numbers
Definition
can't be written as a quotient of two integers
Term
Real number
Definition
either rational or irrational
Term
exponentiation
Definition
repeated multiplicaton ex 5x5x5
Term
Whole numbers
Definition
consist of all natural numbers plus 0 ex. 0,1,2,3
Term
prime number
Definition
a positive integer that has only two integer factors namely itself and 1, ex 2, 3, 5, 7
Term
composite number
Definition
an integer that has at least 3 positive integer factors ex. 4, 6,8,9
Term
Fundamental theory of arithmetic
Definition
any integer greater than 1 is either a) prime or b) uniquely factorable as a product of primes, which is called the prime factorization of numbers ex. 30= 3x2x5
Term
factor tree
Definition
a number is continuously subdivided into smaller and small products until prime factorization is achieved
Term
greatest common factor
Definition
largest number that is a factor of both of any set of two or more numbers
Term
least common multiple
Definition
smallest number that is divisible by two or more numbers. it is the product of each different base found in a group of numbers multiplied together and the highest base for each of those numbers multiplied as well
Term
Congruence class
Definition
consists of all numbers that are equivalent to one another under a given numbering system
Term
arithmetic sequence
Definition
an infinite set of numbers for which there is a common difference
Term
geometric sequence
Definition
an infinite set of numbers for which there is a common ratio
Term
recursive sequence
Definition
sequence in which each numbers value depends on the previous number
Term
arithmetic series
Definition
a list of numbers that represent the partial sum of an arithmetic sequence
Term
geometric series
Definition
a list of numbers that represent the partial sums of a geometric sequence
Term
relation
Definition
set of numbers that are ordered pairs each ordered pair is called an element
Term
domain
Definition
all the first part of a group of elements in a relation (x,y) x would be domain
Term
range
Definition
the set of all the second parts of the elements in a relation (x,y) range would be y
Term
function
Definition
special kind of relation for which there is one element in the domain that is assigned with exactly one element in the range
Term
composite function
Definition
one whose values are found from 2 different functions
Term
rational function
Definition
quotient of two polynomials in which the denominator is not the zero polynomial
Term
piecewise function
Definition
uses different formulas for each different non overlapping part of the domain
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