Precalculus A Concise Course

by Larson, Ron; Hostetler, Robert P.

• ISBN13: 9780618627196
• ISBN10: 0618627197
• Edition: 1st
• Format: Hardcover
• Copyright: 2006-01-30
• Publisher: Brooks Cole

Summary

With the same design and feature sets as the market leadingPrecalculus,7/e, this new concise text provides both students and instructors with sound, consistently structured explanations of the mathematical concepts.Precalculus: A Concise Courseis designed to offer a cost-effective, one-semester alternative to the traditional two-semester precalculus text. It contains the features that have made the Larson/Hostetler series a complete solution for both students and instructors: interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples with worked-out solutions and exercises. In addition: Side-by-Side Example Solutionsfor select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles. Checkpointsafter each Example/Solution refer students to similar drills in the Section Exercises, giving students the opportunity to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book. Vocabulary Checksopen every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts. Exercise Setsare carefully developed to improve the categorization of problems frombasic skill-buildingtochallenging;improve the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications. New!Make a Decisionapplications--presented throughout the text at the end of selected exercise sets--are based on large sets of real data. These extended modeling applications give students the opportunity to use all the mathematical concepts and techniques they've learned and apply them to large sets of real date--analyzing it, graphing it, and making conjectures about its behavior. These applications are featured in Eduspace and the Online Learning Center in an interactive format. Eduspace, powered by Blackboard,Houghton Mifflin's online learning environment, brings your students quality online homework, tutorials, multimedia, and testing that correspond to thePrecalculus: A Concise Coursetext. This content is paired with the recognized course management tools of Blackboard.

Table of Contents

Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving

Functions and Their Graphs

Rectangular Coordinates Graphs of Equations

Linear Equations in Two Variables Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions: Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Polynomial and Rational Functions

Quadratic Functions and Models Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential and Logarithmic Functions

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Cumulative Test: Chapters 1–3

Trigonometry Radian and Degree

Measure Trigonometric Functions: The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Analytic Trigonometry Using Fundamental

Identities Verifying Trigonometric

Identities Solving Trigonometric Equations

Sum and Difference Formulas

Multiple–Angle and Product–to–Sum Formulas

Law of Sines

Law of Cosines

Topics in Analytic Geometry

Lines Introduction to Conics: Parabolas Ellipses

Hyperbolas Parametric Equations

Polar Coordinates

Graphs of Polar Equations

Polar Equations of Conics

Cumulative Test: Chapters 4–6

A Review of Fundamental Concepts of Algebra (web)

Real Numbers and Their Properties Exponents and Radicals Polynomials and Factoring Rational Expressions Solving Equations

Solving Inequalities Errors and the Algebra of Calculus

Concepts in Statistics (web)

Representing Data Measures of Central Tendency and Dispersion Least Squares Regression

Table of Contents provided by Publisher. All Rights Reserved.