**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