Table of Contents

Chapter One • Complex Numbers
 Pure Imaginary Numbers
 Equating, Adding, and Subtracting Complex Numbers
 Complex Number Conjugates
 Multiplying Complex Numbers
 Solving Quadratic Equation with Complex Roots
 Quadratic Equations with Complex Coefficients
 Cube Roots of Unity
 Argand Diagram
 The Argument of a Complex Number
 Modulus of a Complex Number
 Polar Form of Complex Numbers
 De Moivre’s Theorem
 Chapter Two • Conic Sections
 Chapter Three • Applications of Differentiation

Chapter Four • Integration
 Riemann Sums
 The Fundamental Theorem of Calculus: Functions Defined by Integrals
 The Fundamental Theorem of Calculus: Evaluating Definite Integrals
 Indefinite Integrals: The Power Rule
 Differentiation of Logarithmic Functions
 Integrals Resulting in Logarithmic Functions
 Area between a Curve and a Line
 Area between Curves
 Rectilinear Motion and Integration
 Volumes of Solids of Revolution Using the Disk and Washer Methods
 Chapter Five • Common Differential Equations
 Chapter Six • Space Geometry