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Precalculus, 7th edition

  • Robert F. Blitzer

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Overview

"Your world is profoundly mathematical." Bob Blitzer continues to support and inspire students with his friendly approach, making Precalculus and the Blitzer series of texts beloved year after year by students and instructors alike. His unique background in mathematics and behavioral science informs a wide selection of applications that appeal to students of all majors and connect math to our lives. In the 7th Edition, relevant new applications topics include World Tiger Population, the COVID-19 Pandemic, Area Burned by Wildfires in the U.S., Use of Social Media by Age, and much more.

Published by Pearson (November 3rd 2021) - Copyright © 2022

ISBN-13: 9780137321667

Subject: Precalculus, College Algebra & Trigonometry

Category: Precalculus

Overview

P. Prerequisites: Fundamental Concepts of Algebra

  • P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
  • P.2 Exponents and Scientific Notation
  • P.3 Radicals and Rational Exponents
  • P.4 Polynomials
  • P.5 Factoring Polynomials
  • P.6 Rational Expressions
  • P.7 Equations
  • P.8 Modeling with Equations
  • P.9 Linear Inequalities and Absolute Value Inequalities
  • Summary, Review, and Test
  • Review Exercises
  • Chapter P Test

1. Functions and Graphs

  • 1.1 Graphs and Graphing Utilities
  • 1.2 Basics of Functions and Their Graphs
  • 1.3 More on Functions and Their Graphs
  • 1.4 Linear Functions and Slope
  • 1.5 More on Slope
  • 1.6 Transformations of Functions
  • 1.7 Combinations of Functions; Composite Functions
  • 1.8 Inverse Functions
  • 1.9 Distance and Midpoint Formulas; Circles
  • 1.10 Modeling with Functions

2. Polynomial and Rational Functions

  • 2.1 Complex Numbers
  • 2.2 Quadratic Functions
  • 2.3 Polynomial Functions and Their Graphs
  • 2.4 Dividing Polynomials; Remainder and Factor Theorems
  • 2.5 Zeros of Polynomial Functions
  • 2.6 Rational Functions and Their Graphs
  • 2.7 Polynomial and Rational Inequalities
  • 2.8 Modeling Using Variation

3. Exponential and Logarithmic Functions

  • 3.1 Exponential Functions
  • 3.2 Logarithmic Functions
  • 3.3 Properties of Logarithms
  • 3.4 Exponential and Logarithmic Equations
  • 3.5 Exponential Growth and Decay; Modeling Data

4. Trigonometric Functions

  • 4.1 Angles and Radian Measure
  • 4.2 Trigonometric Functions: The Unit Circle
  • 4.3 Right Triangle Trigonometry
  • 4.4 Trigonometric Functions of Any Angle
  • 4.5 Graphs of Sine and Cosine Functions
  • 4.6 Graphs of Other Trigonometric Functions
  • 4.7 Inverse Trigonometric Functions
  • 4.8 Applications of Trigonometric Functions

5. Analytic Trigonometry

  • 5.1 Verifying Trigonometric Identities
  • 5.2 Sum and Difference Formulas
  • 5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas
  • 5.4 Product-to-Sum and Sum-to-Product Formulas
  • 5.5 Trigonometric Equations

6. Additional Topics in Trigonometry

  • 6.1 The Law of Sines
  • 6.2 The Law of Cosines
  • 6.3 Polar Coordinates
  • 6.4 Graphs of Polar Equations
  • 6.5 Complex Numbers in Polar Form; DeMoivre's Theorem
  • 6.6 Vectors
  • 6.7 The Dot Product

7. Systems of Equations and Inequalities

  • 7.1 Systems of Linear Equations in Two Variables
  • 7.2 Systems of Linear Equations in Three Variables
  • 7.3 Partial Fractions
  • 7.4 Systems of Nonlinear Equations in Two Variables
  • 7.5 Systems of Inequalities
  • 7.6 Linear Programming

8. Matrices and Determinants

  • 8.1 Matrix Solutions to Linear Systems
  • 8.2 Inconsistent and Dependent Systems and Their Applications
  • 8.3 Matrix Operations and Their Applications
  • 8.4 Multiplicative Inverses of Matrices and Matrix Equations
  • 8.5 Determinants and Cramer's Rule

9. Conic Sections and Analytic Geometry

  • 9.1 The Ellipse
  • 9.2 The Hyperbola
  • 9.3 The Parabola
  • 9.4 Rotation of Axes
  • 9.5 Parametric Equations
  • 9.6 Conic Sections in Polar Coordinates

10. Sequences, Induction, and Probability

  • 10.1 Sequences and Summation Notation
  • 10.2 Arithmetic Sequences
  • 10.3 Geometric Sequences and Series
  • 10.4 Mathematical Induction
  • 10.5 The Binomial Theorem
  • 10.6 Counting Principles, Permutations, and Combinations
  • 10.7 Probability

11. Introduction to Calculus

  • 11.1 Finding Limits Using Tables and Graphs
  • 11.2 Finding Limits Using Properties of Limits
  • 11.3 Limits and Continuity
  • 11.4 Introduction to Derivatives

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