Graphical Approach to Precalculus with Limits: Pearson New International Edition

List of contents

Chapter 1  Linear Functions, Equations, and Inequalities 
1.1  Real Numbers and the Rectangular Coordinate System
1.2  Introduction to Relations and Functions
Reviewing Basic Concepts
1.3  Linear Functions
1.4  Equations of Lines and Linear Models
Reviewing Basic Concepts
1.5  Linear Equations and Inequalities
1.6  Applications of Linear Functions 
Reviewing Basic Concepts
Summary
Review Exercises
Test
 
Chapter 2  Analysis of Graphs of Functions
2.1  Graphs of Basic Functions and Relations; Symmetry
2.2  Vertical and Horizontal Shifts of Graphs   
2.3  Stretching, Shrinking, and Reflecting Graphs
Reviewing Basic Concepts
2.4  Absolute Value Functions
2.5  Piecewise-Defined Functions
2.6  Operations and Composition
Reviewing Basic Concepts
 
Summary
Review Exercises
Test
 
  
Chapter 3  Polynomial Functions
3.1  Complex Numbers
3.2  Quadratic Functions and Graphs
3.3  Quadratic Equations and Inequalities
Reviewing Basic Concepts
3.4  Further Applications of Quadratic Functions and Models
3.5  Higher-Degree Polynomial Functions and Graphs
Reviewing Basic Concepts
3.6  Topics in the Theory of Polynomial Functions (I)
3.7  Topics in the Theory of Polynomial Functions (II)
3.8  Polynomial Equations and Inequalities;  Further Applications and Models
Reviewing Basic Concepts
 
Summary
Review Exercises
Test
 
Chapter 4  Rational, Power, and Root Functions
4.1  Rational Functions and Graphs
4.2  More on Rational Functions and Graphs
4.3  Rational Equations, Inequalities, Models, and Applications
Reviewing Basic Concepts
4.4  Functions Defined by Powers and Roots
4.5  Equations, Inequalities, and Applications Involving Root Functions
Reviewing Basic Concepts
 
Summary
Review Exercises
Test
  
Chapter 5  Inverse, Exponential, and Logarithmic Functions
5.1  Inverse Functions
5.2  Exponential Functions
5.3  Logarithms and Their Properties
Reviewing Basic Concepts
5.4  Logarithmic Functions
5.5  Exponential and Logarithmic Equations and Inequalities
Reviewing Basic Concepts
5.6  Further Applications and Modeling with Exponential and Logarithmic Functions
 
Summary
Review Exercises
Test
  
Chapter 6  Analytic Geometry
6.1  Circles and Parabolas
6.2  Ellipses and Hyperbolas
Reviewing Basic Concepts
6.3  Summary of Conic Sections
6.4  Parametric Equations 
Reviewing Basic Concepts
 
Summary
Review Exercises
Test   
  
Chapter 7  Systems of Equations and Inequalities; Matrices
7.1  Systems of Equations
7.2  Solution of Linear Systems in Three Variables
7.3  Solution of Linear Systems by Row Transformations
Reviewing Basic Concepts
7.4  Matrix Properties and Operations
7.5  Determinants and Cramer’s Rule
7.6  Solution of Linear Systems by Matrix Inverses
Reviewing Basic Concepts
7.7  Systems of Inequalities and Linear Programming
7.8  Partial Fractions
Reviewing Basic Concepts
 
Summary
Review Exercises
Test   
 
Chapter 8 The Unit Circle and the Functions of Trigonometry
8.1 Angles, Arcs, and Their Measures
8.2 The Unit Circle and Its Functions
Reviewing Basic Concepts
8.3 Graphs of the Sine and Cosine Functions
Periodic Functions
8.4 Graphs of the Other Circular Functions
8.5 Functions of Angles and Fundamental Identities
8.6 Evaluating Trigonometric Functions
Definitions of the Trigonometric Functions
8.7 Applications of Right Triangles
8.8 Harmonic Motion
Reviewing Basic Concepts
Summary
Review Exercises
Test
 
Chapter 9 Trigonometric Identities and Equations
9.1 Trigonometric Identities
9.2 Sum and Difference Identities
Reviewing Basic Concepts
9.3 Further Identities   
9.4 The Inverse Circular Functions
Reviewing Basic Concepts
9.5 Trigonometric Equations and Inequalities (I)
9.6 Trigonometric Equations and Inequalities (II)
Summary
Review Exercises
Test
 
Chapter 10  Applications of Trigonometry and Vectors
10.1 The Law of Sines
10.2 The Law of Cosines and Area Formulas   
10.3 Vectors and Their Applications
Reviewing Basic Concepts
10.4 Trigonometric (Polar) Form of Complex Numbers
10.5 Powers and Roots of Complex Numbers
Reviewing Basic Concepts
10.6 Polar Equations and Graphs
10.7 More Parametric Equations
Reviewing Basic Concepts
Summary
Review Exercises
Test
 
Chapter 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  Counting Theory
11.7  Probability
 
Chapter 12  Limits, Derivatives, and Definite Integrals
12.1  An Introduction to Limits
12.2  Techniques for Calculating Limits
12.3  One-Sided Limits; Limits Involving Infinity
12.4  Tangent Lines and Derivatives
12.5  Area and the Definite Integral
 
Chapter R  Reference:  Basic Algebraic Concepts
R.1  Review of Exponents and Polynomials
R.2  Review of Factoring
R.3  Review of Rational Expressions
R.4  Review of Negative and Rational Exponents
R.5  Review of Radicals
Chapter R Test
 
Appendix Geometry Formulas
Answers to Selected Exercises
Index

Summary

A Graphical Approach to Precalculus with Limits: A Unit Circle Approach illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities.
 
With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach continues to incorporate an open design, with helpful features and careful explanations of topics.

Product details

• Authors: John Hornsby, Margaret Lial, Margaret L. Lial, Gary K. Rockswold
• Publisher: Pearson Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2013
• EAN: 9781292040806
• ISBN: 978-1-292-04080-6
• No. of pages: 938
• Weight: 1900 g
• Series: Pearson; Pearson
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis