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PRE-CALCULUS & INTRODUCTION TO PROBABILITY
REFERENCE CD


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The document on this Reference CD will enable you to identify and perform calculations involving the equations to the various conic sections; recognize and work with concepts in calculus (limits, differentiation, and integration); and recognize the elements of introductory probability theory.

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PRE-CALCULUS AND INTRODUCTION TO PROBABILITY
(385 pages)
December 1988
Naval Education and Training
Professional Development and Technology Center

Straight Lines
Introduction
Distance Between Two Points
Division of a Line Segment
Inclination and Slope
Slopes of Parallel and Perpendicular Lines
Angle Between Two Lines
Equation of a Straight Line
Distance from a Point to a Line
Summary
Practice Problems
Answers to Practice Problems

Conic Sections
Introduction
The Locus of an Equation
The Circle
The Parabola
The Ellipse
The Hyperbola
Polar Coordinates
Summary
Practice Problems
Answers to Practice Problems

Tangents, Normals and Slopes of Curves
Introduction
Slope of a Curve at a Point
Equations and Lengths of Tangents and Normals
Parametric Equations
Summary
Practice Problems
Answers to Practice Problems

Limits and Differentiation
Introduction
Limit Concept
Infinitesimals
Discontinuities
Increments and Differentiation
Summary
Practice Problems
Answers to Practice Problems

Derivatives
Introduction
Derivative of a Constant
Derivatives of Variables
Derivatives of Constants to Variable Powers
Summary
Practice Problems
Answers to Practice Problems

Integration
Introduction
Definitions
Interpretation of an Integral
Rules for Integration
Definite Integrals
Summary
Practice Problems
Answers to Practice Problems

Integration Formulas
Introduction
Power of a Variable
Constants
Power of a Function
Quotient
Constant to a Variable Power
Trigonometric Functions
Powers of Trigonometrid Functions
Summary
Practice Problems
Answers to Practice Problems

Combinations and Permutations
Introduction
Definitions
Combinations
Principle of Choice
Permutations
Summary
Practice Problems
Answers to Practice Problems

Probability
Introduction
Basic Concepts
Compound Probabilities
Empirical Probabilities
Summary
Practice Problems
Answers to Practice Problems
Appendix I - Natural Tangents and Cotangents

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