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Precalculus, 2nd edition

Published by Pearson (July 29, 2022) © 2022

  • Eric Schulz Walla Walla Community College
  • Julianne Connell Sachs Walla Walla Community College
  • William L. Briggs University of Colorado Denver
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Interactive figures are worth a thousand words. The Precalculus eText is a concise presentation of material needed for success in precalculus, integrating narrative, interactive figures, author videos and progress checks to immerse you in a rich learning environment within MyLab Math. Each of the 365 interactive figures helps build your geometric intuition of a concept. This innovative eText, paired with the author-created printed note-taking guide Explorations & Notes, creates a framework for learning that builds a strong mathematical foundation for calculus. The 2nd Edition adds 2 new chapters (Chapter 9, Vectors; Chapter 10, Systems of Equations) and includes many more enhancements.

1. Functions

  • Introduction to Functions
  • Graphs
  • Linear Functions
  • Combinations of Functions
  • Transformations of Functions
  • Families of Functions
  • Summary and Review Exercises

2. Polynomials and Rational Functions

  • Quadratic Functions
  • Polynomial Functions
  • Real Roots and Factors of Polynomial Functions
  • Complex Numbers
  • Complex Roots of Polynomial Functions
  • Rational Functions
  • Inequalities
  • Summary and Review Exercises

3. Exponentials and Logarithms

  • Exponential Functions
  • Inverse Functions
  • Logarithmic Functions
  • Logarithmic Identities
  • Solving Exponential and Logarithmic Equations
  • Summary and Review Exercises

4. Unit Circle Trigonometry

  • Angles and Their Measures
  • Unit Circle Definitions of Sine, Cosine, and Tangent
  • Sine, Cosine, and Tangent Functions
  • Secant, Cosecant, and Cotangent Functions
  • Inverse Trigonometric Functions
  • Summary and Review Exercises

5. Triangle Trigonometry

  • Right Triangle Trigonometry
  • Right Triangles and the Unit Circle
  • Law of Sines
  • Law of Cosines
  • Applications of Triangles
  • Summary and Review Exercises

6. Trigonometric Identities

  • Fundamental Identities
  • Sum, Difference, and Double-Angle Identities
  • Power-Reducing, Half-Angle, and Product-Sum Identities
  • Solving Trigonometric Equations
  • Summary and Review Exercises

7. Parametric and Polar Graphs

  • Parametric Equations
  • Polar Coordinates
  • Polar Graphs
  • Polar Form of Complex Numbers; DeMoivre's Theorem
  • Summary and Review Exercises

8. Conic Sections

  • Parabolas
  • Ellipses and Circles
  • Hyperbolas
  • Eccentricity and Polar Equations of Conic Sections
  • Summary and Review Exercises

9. Vectors

  • Vectors in Two Dimensions
  • Vectors in Three Dimensions
  • Dot Product
  • Cross Product
  • Summary and Review Exercises

10. Matrices and Systems of Equations

  • Systems of Equations and Inequalities
  • Matrices
  • Method of Partial Fractions
  • Summary and Review Exercises

Appendices

  1. Looking Forward to Calculus: Limits
  2. Looking Forward to Calculus: Sequences and Series

Index

Figure Index

App. Index

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