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CITATION

Safier, Fred. Schaum's Easy Outline of Precalculus. US: McGraw-Hill, 2002.

Schaum's Easy Outline of Precalculus

Authors: Fred Safier

Published:  March 2002

eISBN: 9780071398404 0071398406 | ISBN: 9780071383400
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  • Copyright
  • Contents
  • Chapter 1 Number Systems, Polynomials, and Exponents
  • Sets of Numbers
  • Axioms for the Real Number System
  • Properties of Inequalities
  • Absolute Value
  • Complex Numbers
  • Order of Operations
  • Polynomials
  • Sums and Differences of Polynomials
  • Products of Polynomials
  • Special Product Forms
  • Factoring
  • General Factoring Strategy
  • Special Factoring Forms
  • Exponents
  • Rational and Radical Expressions
  • Operations on Rational Expressions
  • Radical Expressions
  • Conversion of Radical Expression to Exponent Form
  • Simplification of Radicals
  • Chapter 2 Equations and Inequalities
  • Equations
  • Linear Equations
  • Quadratic Equations
  • Radical Equations
  • Applications
  • Variation
  • Inequalities
  • Linear Inequalities
  • Nonlinear Inequalities
  • Absolute Value in Equations and Inequalities
  • Properties of Absolute Values
  • Absolute Value in Equations
  • Absolute Value in Inequalities
  • Parametric Equations
  • Chapter 3 Systems of Equations and Partial Fractions
  • Systems of Equations
  • Solving Linear Systems in Two Variables
  • Solving Linear Systems in More than Two Variables
  • Partial Fraction Decomposition
  • Alternative Method
  • Nonlinear Systems of Equations
  • Chapter 4 Analytic Geometry and Functions
  • Analytic Geometry
  • Intercepts
  • Symmetry
  • Functions
  • Increasing, Decreasing, and Constant Functions
  • Even and Odd Functions
  • Algebra of Functions
  • One-To-One Functions
  • Inverse Functions
  • Transformations and Graphs
  • Vertical Shifting
  • Ver tical Stretching and Compression
  • Horizontal Shifting
  • Horizontal Stretching and Compression
  • Reflection with Respect to a Coordinate Axis
  • Chapter 5 Algebraic Functions and Their Graphs
  • Linear Functions
  • Horizontal and Vertical Lines
  • Parallel and Perpendicular Lines
  • Quadratic Functions
  • Polynomial Functions
  • Division of Polynomials
  • Synthetic Division
  • Theorems about Zeros
  • Theorems Used in Locating Zeros
  • Rational Functions
  • Chapter 6 Exponential and Logarithmic Functions
  • Exponential Functions
  • Applications of Exponential Functions
  • Applications of Logarithmic Functions
  • Exponential and Logarithmic Equations
  • Solved Problems
  • Chapter 7 Conic Sections
  • Loci
  • Parabolas
  • Ellipses
  • Hyperbolas
  • Conic Sections
  • Chapter 8 Trigonometric Functions
  • Unit Circle
  • Trigonometric Functions
  • Trigonometric Identities
  • Graphs of Sine and Cosine Functions
  • Graphs of the Other Trigonometric Functions
  • Angles
  • Chapter 9 Trigonometric Identities and Trigonometric Inverses
  • Inverse Trigonometric Functions
  • Trigonometric Identities
  • Solving Trigonometric Equations
  • Sum, Difference, Multiple, and Half-Angle Formulas
  • Triangles
  • Polar Coordinates
  • Chapter 10 Sequences and Series
  • Sequences
  • Series
  • Series Identities
  • Arithmetic Sequences and Series
  • Geometric Sequences and Series
  • Binomial Theorem
  • Index