*Classification of Numbers
*Properties of Real Numbers
*The Complex Numbers
*Operations with Complex Numbers
*The Cartesian Plane, Relations, & Functions
The Complex Plane
*Factoring Polynomials
*Factoring Quadratic Polynomials
*Solving Equations by Factoring
*Problem-Solving Using Factoring
*Completing the Square
*The Quadratic Formula
*Graphing Quadratic Functions
*Quadratics: Vertex Form
Writing Quadratic Equations and Solving Equations in Quadratic Form
Quadratics and the Golden Ratio
Piecewise Functions: Absolute Value, Greatest Integer
Definitions and Examples
Definitions and Examples
*Introduction to Polynomial Functions
*Polynomial Long Division & Synthetic Division
*Remainder & Factor Theorems
Fundamental Theorem of Algebra, Descartes' Rule, and Rational Roots
The Intermediate Value Theorem and Graphing
*Simplifying Rational Expressions
Graphing Rational Functions
*Operations with Rational Expressions
*Fractional Coefficients
*Fractional Equations
Mixture and Work Problems
*Definition of Logarithms
*Properties of Logarithms
*Common and Natural Logarithms
*Exponential Growth and Decay
*Angles in Standard Position
*Trig Functions of Acute Angles
*Trig Functions of General Angles
Solving Right Triangles
The Law of Cosines
The Law of Sines
Ambiguous Case
Areas of Triangles
*Fundamental Trig Identities
*Proving Trig Identities
*Sum and Difference Identities
Double- and Half-Angle Identities
(*) Essential Topics Covered - other topics will be included as time allows.