Math - Pre-Calculus

Unit 1

• Exponents and scientific notation
• Radicals and rational exponents
• Polynomials
• Factoring polynomials
• Rational expressions
• Linear equations and inequalities
• Quadratic equations
• Systems of equations
• Graphs of linear equations
• Lines and slopes
• Distance and midpoint formulas
• Vectors and operations on vectors

Unit 2

• Matrices and operations on matrices
• Applications of matrices
• Basic functions and properties of functions
• Interpreting and analyzing functions
• Combinations of functions
• Graphs of functions
• Transformations of functions
• Modeling with functions
• Complex number system
• Arithmetic operations with complex numbers
• Quadratic functions and applications
• Polynomials functions and graphs

Unit 3

• Zeros of polynomial functions
• Rational functions and graphs
• Polynomial and rational inequalities
• One-to-one functions
• Inverse functions
• Exponential functions
• Logarithmic functions
• Properties of logarithms
• Logarithmic and exponential equations
• Exponential growth and decay
• Logistic growth and decay
• Modeling with exponential and logarithmic functions

Unit 4

• Trigonometric functions
• Trigonometric equations
• The unit circle
• Angles and their measure
• Right triangle trigonometry
• Trigonometric identities and proof
• Trigonometric functions of any angle
• Law of Sines and Law of Cosines
• Graphs of sine, cosine, tangent, cotangent, cosecant, and secant functions
• Inverse trigonometric functions
• Applications of trigonometric functions
• Sum and difference formulas
• Double-angle and half-angle identities