COLLEGE-LEVEL MATH TOPICS

Algebraic Operations

Addition of algebraic fractions
Addition and subtraction of expressions involving absolute value
Operations with polynomials
Multiplication, division, and simplification of algebraic fractions
Operations with exponents
Powers, roots, radicals
Factoring quadratic expressions

Solution of Equations and Inequalities

Linear equations and inequalities
Quadratic equations
Systems of equations and inequalities
Exponential equations
Equations of degree greater than 2

Coordinate Geometry

The coordinate plane
Straight lines
Conics
Locus of points
Graphs of algebraic functions

Applications and Other Algebra Topics

Translation
Complex numbers
Series and Sequences
Determinants
Permutations and combinations
Factorials
Polygons

Functions

Functions of degree greater than 2
Exponents and logarithms
Graphical properties, exponential and logarithmic functions
Domain and range
Composition of functions
Inverse functions
Computations with simple functions
Periodicity, amplitude, and other properties

Trigonometry

Fundamental definitions of trig functions
Right triangle trigonometry and circular functions
Laws of sines and cosines
Graphs of trigonometric functions
Trigonometric equations and inequalities
Trigonometric identities
Trigonometric functions of two angles
Inverse trigonometric functions