Table of Contents

7 • Integrals
 Antiderivatives
 Indefinite Integrals: The Power Rule
 Integration by Substitution: Indefinite Integrals
 Trigonometric Integrals
 Integration by Trigonometric Substitutions
 Integration by Partial Fractions with Linear Factors
 Integration by Partial Fractions with Quadratic Factors
 Integration by Partial Fractions of Improper Fractions
 Integration by Parts
 The Fundamental Theorem of Calculus: Evaluating Definite Integrals
 Average Value of a Function
 The Fundamental Theorem of Calculus: Functions Defined by Integrals
 Integration by Substitution: Definite Integrals
 Properties of Definite Integrals
 8 • Application of Integrals
 9 • Differential Equations
 10 • Vector Algebra

11 • Three Dimensional Geometry
 Equation of a Plane: Vector, Scalar, and General Forms
 Direction Angles and Direction Cosines
 Equation of a Straight Line in Space: Cartesian and Vector Forms
 Angle between Two Straight Lines in Space
 Parallel and Perpendicular Vectors in Space
 Intersection of Planes
 Equation of a Plane: Intercept and Parametric Forms
 Angle between Two Planes
 Distances between Points and Straight Lines or Planes
 Equations of Parallel and Perpendicular Planes
 12 • Linear Programming
 13 • Probability