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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:
Author Bio
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
Gordon B. Fuller and Dalton J. Tarwater
ISBN13: 978-0201134841Tailored 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:
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