College Algebra and Trigonometry, Global Edition, 7th edition

Published by Pearson (March 2, 2023) © 2023

  • Margaret L. Lial American River College
  • John Hornsby University of New Orleans
  • David I. Schneider University of Maryland
  • Callie J. Daniels St. Charles Community College
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For courses in College Algebra & Trigonometry

The College Algebra series by Lial, Hornsby, Schneider, and Daniels combines the experience of master teachers to help students develop the balance of conceptual understanding and analytical skills needed to succeed in mathematics. The Review chapter has been expanded to cover the basic algebra concepts that students often find most challenging. 

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  • R. Review of Basic Concepts
  • R.1. Fractions, Decimals, and Percents
  • R.2. Sets and Real Numbers
  • R.3. Real Number Operations and Properties
  • R.4. Integer and Rational Exponents
  • R.5. Polynomials
  • R.6. Factoring Polynomials
  • R.7. Rational Expressions
  • R.8. Radical Expressions
  • 1. Equations and Inequalities
  • 1.1. Linear Equations
  • 1.2. Applications and Modeling with Linear Equations
  • 1.3. Complex Numbers
  • 1.4. Quadratic Equations
  • 1.5. Applications and Modeling with Quadratic Equations
  • 1.6. Other Types of Equations and Applications
  • 1.7. Inequalities
  • 1.8. Absolute Value Equations and Inequalities
  • 2. Graphs and Functions
  • 2.1. Rectangular Coordinates and Graphs
  • 2.2. Circles
  • 2.3. Functions
  • 2.4. Linear Functions
  • 2.5. Equations of Lines and Linear Models
  • 2.6. Graphs of Basic Functions
  • 2.7. Graphing Techniques
  • 2.8. Function Operations and Composition
  • 3. Polynomial and Rational Functions
  • 3.1. Quadratic Functions and Models
  • 3.2. Synthetic Division
  • 3.3. Zeros of Polynomial Functions
  • 3.4. Polynomial Functions: Graphs, Applications, and Models
  • 3.5. Rational Functions: Graphs, Applications, and Models
  • 3.6. Polynomial and Rational Inequalities
  • 3.7. Variation
  • 4. Inverse, Exponential, and Logarithmic Functions
  • 4.1. Inverse Functions
  • 4.2. Exponential Functions
  • 4.3. Logarithmic Functions
  • 4.4. Evaluating Logarithms and the Change-of-Base Theorem
  • 4.5. Exponential and Logarithmic Equations
  • 4.6. Applications of Models of Exponential Growth and Decay
  • 5. Trigonometric Functions
  • 5.1. Angles
  • 5.2. Trigonometric Functions
  • 5.3. Trigonometric Function Values and Angle Measures
  • 5.4. Solutions and Applications of Right Triangles
  • 6. The Circular Functions and Their Graphs
  • 6.1. Radian Measure
  • 6.2. The Unit Circle and Circular Functions
  • 6.3. Graphs of the Sine and Cosine Functions
  • 6.4. Translations of the Graphs of the Sine and Cosine Functions
  • 6.5. Graphs of the Tangent and Cotangent Functions
  • 6.6. Graphs of the Secant and Cosecant Functions
  • 6.7. Harmonic Motion
  • 7. Trigonometric Identities and Equations
  • 7.1. Fundamental Identities
  • 7.2. Verifying Trigonometric Identities
  • 7.3. Sum and Difference Identities
  • 7.4. Double-Angle and Half-Angle Identities
  • 7.5. Inverse Circular Functions
  • 7.6. Trigonometric Equations
  • 7.7. Equations Involving Inverse Trigonometric Functions
  • 8. Applications of Trigonometry
  • 8.1. The Law of Sines
  • 8.2. The Law of Cosines
  • 8.3. Geometrically Defined Vectors and Applications
  • 8.4. Algebraically Defined Vectors and the Dot Product
  • 8.5. Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
  • 8.6. De Moivre's Theorem; Powers and Roots of Complex Numbers
  • 8.7. Polar Equations and Graphs
  • 8.8. Parametric Equations, Graphs, and Applications
  • 9. Systems and Matrices
  • 9.1. Systems of Linear Equations
  • 9.2. Matrix Solution of Linear Systems
  • 9.3. Determinant Solution of Linear Systems
  • 9.4. Partial Fractions
  • 9.5. Nonlinear Systems of Equations
  • 9.6. Systems of Inequalities and Linear Programming
  • 9.7. Properties of Matrices
  • 9.8. Matrix Inverses
  • 10. Analytic Geometry
  • 10.1. Parabolas
  • 10.2. Ellipses
  • 10.3. Hyperbolas
  • 10.4. Summary of the Conic Sections
  • 11. Further Topics in Algebra
  • 11.1. Sequences and Series
  • 11.2. Arithmetic Sequences and Series
  • 11.3. Geometric Sequences and Series
  • 11.4. The Binomial Theorem
  • 11.5. Mathematical Induction
  • 11.6. Basics of Probability
  • Appendix A Polar Form of Conic Sections
  • Appendix B Rotation of Axes
  • Appendix C Geometry Formulas

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