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by Gordon B. Fuller and Dalton J. Tarwater

Cover type: PaperbackEdition: 7TH 92

Copyright: 1992

Publisher: Addison-Wesley Longman, Inc.

Published: 1992

International: No

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Tailored for a first course in the study of analytic geometry, the text emphasizes the essential elements of the subject and stresses the concepts needed in calculus. This new edition was revised to present the subject in a modern, updated manner. Color is used to highlight concepts. Technology is integrated with the text, with references to the Calculus Explorer and tips for using graphing calculators.

Several new topics, including curve fitting involving mathematical modeling, were added. Exercises were updated. New and varied applications from medicine to navigation to public health were added.

*FEATURES:*

- Historical comments and real-world examples and exercises add to student interest.
- A strong graphing emphasis effectively prepares students for calculus. Tips on the use of a graphing calculator are included.
- Curve sketching, including mathematical modeling, are emphasized.
- Many new topics were added to enrich the text.
- End-of-chapter material now includes Key Terms, Chapter Review exercises, and a Chapter Test.

**Fuller, Gordon : Texas Tech University**

**Tarwater, Dalton : Texas Tech University**

**Chapter 1: Fundamental Concepts**

Basic Concepts

Inclination and Slope of a Line

Division of a Line Segment

Analytic Proofs of Geometric Theorems

Relations and Functions

The Equation of a Graph

**Chapter 2: The Straight Line and the Circle**

Lines and First-Degree Equations

Other Forms of First-Degree Equations

Intersection of Lines

Directed Distance from a Point to a Line

Families of Lines

Circles

Families of Circles

Translation of Axes

**Chapter 3: Conics**

The Parabola

Parabolas With Vertex at (h, k)

The Ellipse

The Hyperbola

**Chapter 4: Simplification of Equations**

Simplification by Translation

Rotation of Axes

Simplification by Rotations and Translations

Identification of a Conic

**Chapter 5: Algebraic Curves**

Polynomials

Rational Functions

Slant Asymptotes

Fractional Equations

**Chapter 6: Transcendental Functions**

Trigonometric Functions

The Exponential Function

Logarithms

Addition of Ordinates

**Chapter 7: Polar Coordinates**

The Polar Coordinate System

Relations Between Rectangular and Polar Coordinates

Graphs of Polar-Coordinate Equations

Aids in Graphing Polar-Coordinate Equations

Polar Equations of Lines and Circles

Polar Equations of Conics

Trigonometric Equations

Intersections of Polar-Coordinate Graphs

**Chapter 8: Parametric Equations**

Parametric Equations

Applications of Parametric Equations

**Chapter 9: Space Coordinates and Surfaces**

Space Coordinates

Surface of Revolution and Quadric Surfaces

Cylindrical and Spherical Coordinates

**Chapter 10: Vectors, Planes, and Lines**

Operations on Vectors

Vectors in Space

The Scalar Product of Two Vectors

The Equation of a Plane

Vector Equation of a Line

The Vector Product

**Chapter 11: Curve Fitting**

Method of Least Squares

Exponential Models

Summary

Tailored for a first course in the study of analytic geometry, the text emphasizes the essential elements of the subject and stresses the concepts needed in calculus. This new edition was revised to present the subject in a modern, updated manner. Color is used to highlight concepts. Technology is integrated with the text, with references to the Calculus Explorer and tips for using graphing calculators.

Several new topics, including curve fitting involving mathematical modeling, were added. Exercises were updated. New and varied applications from medicine to navigation to public health were added.

*FEATURES:*

- Historical comments and real-world examples and exercises add to student interest.
- A strong graphing emphasis effectively prepares students for calculus. Tips on the use of a graphing calculator are included.
- Curve sketching, including mathematical modeling, are emphasized.
- Many new topics were added to enrich the text.
- End-of-chapter material now includes Key Terms, Chapter Review exercises, and a Chapter Test.

Author Bio

**Fuller, Gordon : Texas Tech University**

**Tarwater, Dalton : Texas Tech University**

Table of Contents

**Chapter 1: Fundamental Concepts**

Basic Concepts

Inclination and Slope of a Line

Division of a Line Segment

Analytic Proofs of Geometric Theorems

Relations and Functions

The Equation of a Graph

**Chapter 2: The Straight Line and the Circle**

Lines and First-Degree Equations

Other Forms of First-Degree Equations

Intersection of Lines

Directed Distance from a Point to a Line

Families of Lines

Circles

Families of Circles

Translation of Axes

**Chapter 3: Conics**

The Parabola

Parabolas With Vertex at (h, k)

The Ellipse

The Hyperbola

**Chapter 4: Simplification of Equations**

Simplification by Translation

Rotation of Axes

Simplification by Rotations and Translations

Identification of a Conic

**Chapter 5: Algebraic Curves**

Polynomials

Rational Functions

Slant Asymptotes

Fractional Equations

**Chapter 6: Transcendental Functions**

Trigonometric Functions

The Exponential Function

Logarithms

Addition of Ordinates

**Chapter 7: Polar Coordinates**

The Polar Coordinate System

Relations Between Rectangular and Polar Coordinates

Graphs of Polar-Coordinate Equations

Aids in Graphing Polar-Coordinate Equations

Polar Equations of Lines and Circles

Polar Equations of Conics

Trigonometric Equations

Intersections of Polar-Coordinate Graphs

**Chapter 8: Parametric Equations**

Parametric Equations

Applications of Parametric Equations

**Chapter 9: Space Coordinates and Surfaces**

Space Coordinates

Surface of Revolution and Quadric Surfaces

Cylindrical and Spherical Coordinates

**Chapter 10: Vectors, Planes, and Lines**

Operations on Vectors

Vectors in Space

The Scalar Product of Two Vectors

The Equation of a Plane

Vector Equation of a Line

The Vector Product

**Chapter 11: Curve Fitting**

Method of Least Squares

Exponential Models

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 1992

International: No

Published: 1992

International: No

Tailored for a first course in the study of analytic geometry, the text emphasizes the essential elements of the subject and stresses the concepts needed in calculus. This new edition was revised to present the subject in a modern, updated manner. Color is used to highlight concepts. Technology is integrated with the text, with references to the Calculus Explorer and tips for using graphing calculators.

Several new topics, including curve fitting involving mathematical modeling, were added. Exercises were updated. New and varied applications from medicine to navigation to public health were added.

*FEATURES:*

- Historical comments and real-world examples and exercises add to student interest.
- A strong graphing emphasis effectively prepares students for calculus. Tips on the use of a graphing calculator are included.
- Curve sketching, including mathematical modeling, are emphasized.
- Many new topics were added to enrich the text.
- End-of-chapter material now includes Key Terms, Chapter Review exercises, and a Chapter Test.

**Fuller, Gordon : Texas Tech University**

**Tarwater, Dalton : Texas Tech University**

**Chapter 1: Fundamental Concepts**

Basic Concepts

Inclination and Slope of a Line

Division of a Line Segment

Analytic Proofs of Geometric Theorems

Relations and Functions

The Equation of a Graph

**Chapter 2: The Straight Line and the Circle**

Lines and First-Degree Equations

Other Forms of First-Degree Equations

Intersection of Lines

Directed Distance from a Point to a Line

Families of Lines

Circles

Families of Circles

Translation of Axes

**Chapter 3: Conics**

The Parabola

Parabolas With Vertex at (h, k)

The Ellipse

The Hyperbola

**Chapter 4: Simplification of Equations**

Simplification by Translation

Rotation of Axes

Simplification by Rotations and Translations

Identification of a Conic

**Chapter 5: Algebraic Curves**

Polynomials

Rational Functions

Slant Asymptotes

Fractional Equations

**Chapter 6: Transcendental Functions**

Trigonometric Functions

The Exponential Function

Logarithms

Addition of Ordinates

**Chapter 7: Polar Coordinates**

The Polar Coordinate System

Relations Between Rectangular and Polar Coordinates

Graphs of Polar-Coordinate Equations

Aids in Graphing Polar-Coordinate Equations

Polar Equations of Lines and Circles

Polar Equations of Conics

Trigonometric Equations

Intersections of Polar-Coordinate Graphs

**Chapter 8: Parametric Equations**

Parametric Equations

Applications of Parametric Equations

**Chapter 9: Space Coordinates and Surfaces**

Space Coordinates

Surface of Revolution and Quadric Surfaces

Cylindrical and Spherical Coordinates

**Chapter 10: Vectors, Planes, and Lines**

Operations on Vectors

Vectors in Space

The Scalar Product of Two Vectors

The Equation of a Plane

Vector Equation of a Line

The Vector Product

**Chapter 11: Curve Fitting**

Method of Least Squares

Exponential Models