Table of Contents
 Functions and Graphs
 Polynomial and Rational Functions
 Conic Sections, Parametric Equations, and Polar Coordinates

Vectors
 Components of a Vector
 Scalars, Vectors, and Directed Line Segments
 Vectors in terms of Fundamental Unit Vectors
 Magnitude of a 2D Vector
 Adding and Subtracting Vectors in 2D
 Vector Operations in 2D
 Graphical Operations on Vectors
 Dot Product in 2D
 The Angle between Two Vectors in the Coordinate Plane
 Scalar Projection
 Vectors in Space
 Dot Product in 3D
 Cross Product in 3D
 Angle between Two Vectors in Space
 Direction Angles and Direction Cosines
 Vector Fields

Complex Numbers
 Multiplying Complex Numbers
 Argand Diagram
 Operations on Complex Numbers in Polar Form
 Polar Form of Complex Numbers
 Dividing Complex Numbers
 Exponential Form of a Complex Number
 Complex Number Conjugates
 Pure Imaginary Numbers
 Modulus of a Complex Number
 Equating, Adding, and Subtracting Complex Numbers
 Counting and Probability

Limits and Rate of Change
 Limits from Tables and Graphs
 Limits by Direct Substitution
 Evaluating Limits Using Algebraic Techniques
 OneSided Limits
 Properties of Limits
 Limits of Trigonometric Functions
 Limits at Infinity
 Continuity at a Point
 Classifying Discontinuities
 Definition of the Derivative
 Critical Points and Local Extrema of a Function
 Absolute Extrema
 Interpreting Graphs of Derivatives
 Graphing Using Derivatives
 Antiderivatives
 Indefinite Integrals: The Power Rule
 Riemann Sums
 Intermediate Value Theorem
 Series