9781439049099

Precalculus With Limits

by
  • ISBN13:

    9781439049099

  • ISBN10:

    1439049092

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1/1/2010
  • Publisher: Brooks Cole
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Summary

With the same design and feature sets as the market leading Precalculus, 8/e, this addition to the Larson Precalculus series provides users with sound, consistently structured explanations of the mathematical concepts. This book contains the features that have made Precalculus a complete solution for users: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises. In addition to a brief algebra review and the core precalculus topics, PRECALCULUS WITH LIMITS covers analytic geometry in three dimensions and introduces concepts covered in calculus.

Table of Contents

Functions and their Graphs
Rectangular Coordinates
Graphs of Equations
Linear Equations in Two Variables
Functions
Analyzing Graphs of Functions
A Library of Functions
Transformations of Functions
Combinations of Functions: Composite Functions
Inverse Functions
Mathematical Modeling and Variation
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
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
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
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
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test: Chapters 1-3
Proofs in Mathematics
P.S. Problem Solving
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
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Analytic Trigonometry
Using Fundamental Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Additional Topics in Trigonometry
Law of Sines
Law of Cosines
Vectors in the Plane
Vectors and Dot Products
Trigonometric Form of a Complex Number
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test: Chapters 4-6
Proofs in Mathematics
P.S. Problem Solving
Systems of Equations and Inequalities
Linear and Nonlinear Systems of Equations
Two-Variable Linear Systems
Multivariable Linear Systems
Partial Fractions
Systems of Inequalities
Linear Programming
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Matrices and Determinants
Matrices and Systems of Equations
Operations with Matrices
The Inverse of a Square Matrix
The Determinant of a Square Matrix
Applications of Matrices and Determinants
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Sequences, Series, and Probability
Sequences and Series
Arithmetic Sequences and Partial Sums
Geometric Sequences and Series
Mathematical Induction
The Binomial Theorem
Counting Principles
Probability
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test: Chapters 7-9
Proofs in Mathematics
P.S. Problem Solving
Topics in Analytic Geometry
Lines
Introduction to Conics: Parabolas
Ellipses
Hyperbolas
Rotation of Conics
Parametric Equations
Polar Coordinates
Graphs of Polar Equations
Polar Equations of Conics
Chapter Summary
Review Exercises.
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Analytic Geometry in Three Dimensions
The Three-Dimensional Coordinate System
Vectors in Space
The Cross Product of Two Vectors
Lines and Planes in Space
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Limits and an Introduction to Calculus
Introduction to Limits
Techniques for Evaluating Limits
The Tangent Line Problem
Limits at Infinity and Limits of Sequences
The Area Problem
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test: Chapters 10-12
Proofs in Mathematics
P.S. Problem Solving
Review of Fundamental Concepts of Algebra
Real Numbers and Their Properties
Exponents and Radicals
Polynomials and Factoring
Rational Expressions
Solving Equations
Linear Inequalities in One Variable
Errors and the Algebra of Calculus
Concepts in Statistics (WEB)
Representing Data
Measures of Central Tendency and Dispersion
Least Squares Regression
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