Pre-Calculus Essentials
Published on 1. January 2013
141 pages
978-0-7386-7054-6 (ISBN)
Description
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Pre-Calculus reviews sets, numbers, operations and properties, coordinate geometry, fundamental algebraic topics, solving equations and inequalities, functions, trigonometry, exponents and logarithms, conic sections, matrices and determinants.
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Ernest Woodward
Pre-Calculus
Book
01/1992
Research & Education Association,U.S.
€26.13
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Content
- Intro
- Title Page
- Copyright Page
- What REA's Essentials® Will Do for You
- Acknowledgments
- Table of Contents
- CHAPTER 1 - Sets, Numbers, Operations, and Properties
- 1.1 Sets
- 1.2 Real Numbers and Their Components
- 1.3 Real Number Properties of Equality
- 1.4 Real Number Operations and Their Properties
- 1.5 Complex Numbers
- CHAPTER 2 - Coordinate Geometry
- 2.1 Real Numbers and the Coordinate Line
- 2.2 Cartesian Coordinates
- 2.3 Lines and Segments
- 2.4 Symmetry
- 2.5 Intercepts and Asymptotes
- 2.6 Parametric Equations
- 2.7 Polar Coordinates
- CHAPTER 3 - Fundamental Algebraic Topics
- 3.1 The Arithmetic of Polynomials
- 3.2 Factoring
- 3.3 Rational Expressions
- 3.4 Radicals
- CHAPTER 4 - Solving Equations and Inequalities
- 4.1 Solving Equations in One Variable
- 4.2 Solving Inequalities
- 4.3 Solving Absolute Value Equations and Inequalities
- 4.4 Solving Systems of Linear Equations
- 4.5 Solving Systems of Linear Inequalities and Linear Programming
- 4.6 Solving Equations Involving Radicals, Solving Rational Equations, and Solving Equations in Quadratic Form
- CHAPTER 5 - Functions
- 5.1 Functions and Equations
- 5.2 Combining Functions
- 5.3 Inverse Functions
- 5.4 Increasing and Decreasing Functions
- 5.5 Polynomial Functions and Their Graphs
- 5.6 Rational Functions and Their Graphs
- 5.7 Special Functions and Their Graphs
- CHAPTER 6 - Trigonometry
- 6.1 Trigonometric Functions
- 6.2 Inverse Trigonometric Functions
- 6.3 Trigonometric Identities
- 6.4 Triangle Trigonometry
- 6.5 Solving Trigonometric Equations
- 6.6 The Trigonometric Form of a Complex Number
- CHAPTER 7 - Exponents and Logarithms
- 7.1 Integer Exponents
- 7.2 Rational Number Exponents
- 7.3 Exponential Functions
- 7.4 Logarithms
- 7.5 Logarithmic Functions
- CHAPTER 8 - Conic Sections
- 8.1 Introduction to Conic Sections
- 8.2 The Circle
- 8.3 The Ellipse
- 8.4 The Parabola
- 8.5 The Hyperbola
- CHAPTER 9 - Matrices and Determinants
- 9.1 Matrices and Matrix Operations
- 9.2 Determinants
- 9.3 The Inverse of a Square Matrix
- CHAPTER 10 - Miscellaneous Topics
- 10.1 The Fundamental Counting Principle, Permutations, and Combinations
- 10.2 The Binomial Theorem
- 10.3 Sequences and Series
- 10.4 Mathematical Induction
- 10.5 Zeros of a Polynomial
- REA'S PROBLEM SOLVERS
- REA's Test Preps - The Best in Test Preparation
