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Math Topics for PreCalculus
Numbers in brackets indicate how many items pertain to that topic.
Functions
[28]
linear
[28]
quadratic
[26]
exponential
[35]
logarithmic
[18]
absolute value
[18]
piecewise
[5]
rational
[7]
domain and range of functions
[15]
graphs and parameters of these functions
[47]
set builder notation
interval notation
vertical line test
horizontal line test
composite functions
[4]
asymptotes
[3]
increasing, decreasing and constant rates of change
[13]
continuity
[1]
one-to-one
[1]
inverse
[2]
limits
[23]
derivative
[5]
tangent line
[6]
Properties of Rational Functions
[8]
Definition
Difference Quotient
Synthetic Division
Remainder Theorem
Factor Theorem
Rational Zeros Theorem
Fundamental Theorem of Algebra
Number of Zeros Theorem
Conjugate Zeros Theorem
Intermediate Value Theorem
[1]
Boundedness Theorem
Graphing
[13]
Operations with Logs
[3]
properties
[3]
base 10
[2]
natural log
[3]
change of base theorem
[1]
Linear Algebra
[7]
solving systems of linear equations
[10]
reduced row echelon form
[4]
Gauss-Jordan Method
[6]
determinants
[13]
Cramer's Rule
[2]
Linear Programming
operations with matrices
[19]
matrix inverses
[9]
Partial Fractions
[2]
decomposition
[1]
Conic Sections
[13]
general, standard forms of equations
[7]
polar forms
parabolas
[8]
directrix
foci
vertex
hyperbolas
[6]
foci
asymptotes
fundamental rectangle
circles
[4]
ellipses
[15]
vertices
major / minor axes
foci
Rotations
Equations
angle of rotation
Sequences and Series
[12]
finite
[4]
infinite
[21]
limit
[7]
summation notation
[2]
arithmetic
[3]
geometric
[29]
Factorial Notation
[2]
Binomial Coefficient
Binomial Theorem
[1]
Binomial Expansion
[3]
Mathematical Induction
Variation
direct
inverse
joint
Complex Numbers
[21]
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