Table of Contents

Chapter 1 • Vectors
 Components of a Vector
 Graphical Operations on Vectors
 Magnitude of a 2D Vector
 Vector Operations in 2D
 Scalar Multiplication and Unit Vectors
 Vectors in Terms of Fundamental Unit Vectors
 Polar Form of a Vector
 Dot Product
 The Angle between Two Vectors in the Coordinate Plane
 Points, Midpoints, and Distances in Space
 Vector Operations in 3D
 Dot Product in 3D
 Cross Product in 3D
 Angle between Two Vectors in Space
 Chapter 2 • Polar Coordinates and Complex Numbers

Chapter 3 • Probability and Statistics
 Biased versus Unbiased Samples
 Experimental Studies
 The Range of a Data Set
 The Mode of a Data Set
 The Mean of a Data Set
 The Median of a Data Set
 Mean, Median, and Mode
 Sample and Population Standard Deviation
 Conditional Probability
 Expected Values of Discrete Random Variables
 Normal Distribution
 Binomial Distribution
 The Mean and Standard Deviation of a Binomial Distribution

Chapter 4 • Limits and Differentiation
 Limits from Tables and Graphs
 OneSided Limits
 Limits at Infinity and Unbounded Limits
 Limits by Direct Substitution
 Evaluating Limits Using Algebraic Techniques
 Definition of the Derivative
 Combining the Product, Quotient, and Chain Rules
 Critical Points and Local Extrema of a Function
 The Product Rule
 The Quotient Rule
 Riemann Sums
 Indefinite Integrals: The Power Rule
 The Fundamental Theorem of Calculus: Functions Defined by Integrals
 The Fundamental Theorem of Calculus: Evaluating Definite Integrals