Pre Calculus
Functions and Their Properties
-
Review and Algebraic Functions
-
Domain, Range, and Transformations of Functions
-
Piecewise, Absolute Value, and Step Functions
-
Inverse Functions
Polynomial and Rational Functions
-
Graphing and Analyzing Polynomial Functions
-
End Behavior and Zeros of Polynomials
-
Long Division and Synthetic Division of Polynomials
-
Asymptotes and Graphing Rational Functions
Exponential and Logarithmic Functions
-
Exponential Functions
-
Logarithmic Functions
-
Solving Exponential and Logarithmic Functions
-
Applications of Logs
-
Exponential and Logarithmic Models
Trigonometry and the Unit Circle
-
Trigonometric Ratios
-
Unit Circle and Radian Measure
-
Graphing Sine, Cosine, and Tangent Functions
-
Amplitude, Period, and Phase Shifts
Trigonometric Identities and Equations
-
Fundamental Trigonometric Identities
-
Solving Trigonometric Identities
-
Sum and Difference Formulas
-
Double-Angle and Half-Angle Identities
Vectors and Parametric Equations
-
Vector Operations and Applications
-
Magnitude and Direction of Vectors
-
Graphing Parametric Equations
Polar Coordinates and Complex Numbers
-
Graphing in Polar Coordinates
-
Converting Between Polar and Rectangular Forms
-
Complex Numbers and De Moivre's Theorem
Sequences and Series
-
Arithmetic and Geometric Sequences
-
Summation Notation and Sigma Notation
-
Converging vs. Diverging Series
Limits and Introduction to Calculus
-
Understanding the Concept of a Limit
-
Finding Limits Graphically and Algebraically
-
Limits and Continuity of Functions
-
Intro to Derivatives
Probability and Statistics
-
Binomial Theorem and Probability Distributions
-
Standard Deviation and Normal Distribution
-
Combinations, Permutations, and Probability Applications