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Chapter 0 Pre Calculus
Pre Calculus
32
Mathematics
12th Grade
08/21/2014

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Term
Set
Definition
A collection of objects or numbers, often shown using braces {} and usually named by a capital letter.
Term
element
Definition
1. Each object or number in a set. 2. Each entry in a matrix.
Term
subset
Definition
if every element of set B a set is contained in set A, then B is a subset of A.
Term
universal set
Definition
the set of all possible elements for a situation
Term
complement
Definition
The complement of an event A consists of all the outcomes in the sample space that are not included as outcomes of event A.
Term
union
Definition
The union of sets A and B is all elements in both A and B, written as AUB.
Term
intersection
Definition
The intersection of sets A and B is all elements found in both A and B, written as A Π B.
Term
empty set
Definition
a set with no elements, symbolized by{} or Ø.
Term
imaginary unit
Definition
i, or the principal square root of -1.
Term
complex number
Definition
any number that can be written in the form a + bi, where a and b are real numbers and i is the imaginary unit.
Term
standard form
Definition
A complex number written in the form of a +bi.
Term
imaginary number
Definition
Another name for a complex number of the form a + bi, when b≠0.
Term
complex conjugates
Definition
two complex numbers of the form a + bi and a - bi, where b ≠ 0.
Term
parabola
Definition
the locus of points in a plane that are equidstant from a fixed point, called the focus, and a specific line, called the directrix.
Term
axis of symmetry
Definition
A line about whcih a figure is symmetric. In a parabola, the axis of symmetry is perpendicular to the directrix and passes through the focus.
Term
vertex
Definition
1. The common endpoint of two or more noncollinear rays. 2. a point at which a parabola intersects its axis of symmetry. 3. the two endpoints of the major axis of an ellipse.
Term
completing the square
Definition
a process used to make a quadratic expression into a perfect square trinomial.
Term
nth root
Definition
for any real numbers a and b, and any positive integer n, if a^n = b, then a is an nth root of b.
Term
principal root
Definition
The nonnegative root
Term
system of equations
Definition
a set of equations with the same variables
Term
substitution method
Definition
A method of solving a system of equations in which one equation is solved for one variable in terms of the other.
Term
elimination method
Definition
Eliminate one of the variables in a system of equations by adding or subtracting the equations.
Term
matrix
Definition
Any rectangular array of variables or constants in horizontal rows and vertical columns.
Term
element
Definition
1.) Each object or number in a set. 2.) Each entry in a matrix.
Term
dimension
Definition
a description of te number of rows and cloumns of a matrix
Term
experiment
Definition
a situation involving chance or probability that leads to specific outcomes.
Term
factorial
Definition
If n is a positive integer, then n! = n(n-1)(n-2) *...*2x1.
Term
permutation
Definition
an arrangement of objects in which the order is important
Term
combination
Definition
an arrangement of objects in which the order is not important
Term
measure of central tendency
Definition
a number that represents the center or middle of a set of data
Term
measures of spread
Definition
a representation of how spread out or scattered a set of data is
Term
frequency distribution
Definition
A table used to organize data by groups, classes or intervals
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