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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.|
= 1. Fundamental 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.
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 Line to a Point.
Families of Lines.
Families of Circles.
Translation of Axes.
Parabolas with Vertex at (h, k).
4. Simplification of Equations.
Simplification by Translation.
Rotation of Axes.
Simplification by Rotations and Translations.
Identification of a Conic.
5. Algebraic Curves.
6. Transcendental Functions.
The Exponential Function.
Addition of Ordinates.
= 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.
Intersections of Polar Coordinate Graphs
= 8. Parametric Equations.
Applications of Parametric Equations.
9. Space Coordinates and Surfaces.
Surface of Revolution and Quadric Surfaces.
Cylindrical and Spherical Coordinates.
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.
11. Curve Fitting.
Method of Least Squares.
Posted November 14, 2003
Posted February 19, 2012
No text was provided for this review.