Elementary Geometry for College Students

ISBN-10: 1439047901

ISBN-13: 9781439047903

Edition: 5th 2011

List price: $275.95
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Book details

List price: $275.95
Edition: 5th
Copyright year: 2011
Publisher: Brooks/Cole
Publication date: 1/1/2010
Binding: Hardcover
Pages: 624
Size: 8.25" wide x 10.00" long x 1.00" tall
Weight: 2.970
Language: English

Daniel C. Alexander, now retired, taught mathematics at the secondary and college levels for over 40 years. His final 25 years of teaching were at Parkland College in Champaign, Illinois; before retirement, his position at Parkland College was as mathematics professor emeritus. Although Professor Alexander held undergraduate and graduate degrees from Southern Illinois University, he also completed considerable post graduate course work as well. He delivered many talks and participated in various panel discussions at mathematics conferences of IMACC, AMATYC, and ICTM. Further, he had numerous published articles in the ICTM, NCTM,and AMATYC mathematics journals.

Geralyn M. Koeberlein, now retired, taught mathematics at Mahomet-Seymour High School in Mahomet, Illinois for 34 years. She taught several levels of math, from Algebra I to AB Calculus. In the last few years of her career, Geralyn was also Chair of the Math and Science Department. After receiving her Master's Degree from the University of Illinois early in her teaching years, Geralyn continued her education by receiving over 90 hours of post graduate credit. She was a member of the the ICTM and the NCTM.

Line and Angle Relationships
Sets, Statements, and Reasoning
Informal Geometry and Measurement
Early Definitions and Postulates
Angles and Their Relationships
Introduction to Geometric Proof
Relationships: Perpendicular Lines
The Formal Proof of a Theorem
Perspective on History: The Development of Geometry
Perspective on Application: Patterns
Parallel Lines
The Parallel Postulate and Special Angles
Indirect Proof
Proving Lines Parallel
The Angles of a Triangle
Convex Polygons
Symmetry and Transformations
Perspective on History: Sketch of Euclid
Perspective on Application: Non-Euclidean Geometries
Congruent Triangles
Corresponding Parts of Congruent Triangles
Isosceles Triangles
Basic Constructions Justified
Inequalities in a Triangle
Perspective on History: Sketch of Archimedes
Perspective on Application: Pascal's Triangle
Properties of a Parallelogram
The Parallelogram and Kite
The Rectangle, Square, and Rhombus
The Trapezoid
Perspective on History: Sketch of Thales
Perspective on Application: Square Numbers as Sums
Similar Triangles
Ratios, Rates, and Proportions
Similar Polygons
Proving Triangles Similar
The Pythagorean Theorem
Special Right Triangles
Segments Divided Proportionally
Perspective on History: Ceva's Theorem
Perspective on Application: An Unusual Application of Similar Triangles
Circles and Related Segments and Angles
More Angle Measures in the Circle
Line and Segment Relationships in the Circle
Some Constructions and Inequalities for the Circle
Perspective on History: Circumference of the Earth
Perspective on Application: Sum of the Interior Angles of a Polygon
Locus and Concurrence
Locus of Points
Concurrence of Lines
More About Regular Polygons
Perspective on History: The Value of Perspective on Application: The Nine-Point Circle
Areas of Polygons and Circles
Area and Initial Postulates
Perimeter and Area of Polygons
Regular Polygons and Area
Circumference and Area of a Circle
More Area Relationships in the Circle
Perspective on History: Sketch of Pythagoras
Perspective on Application: Another Look at the Pythagorean Theorem
Surfaces and Solids
Prisms, Area, and Volume
Pyramids, Area, and Volume
Cylinders and Cones
Polyhedrons and Spheres
Perspective on History: Sketch of Rene Descartes
Perspective on Application: Birds in Flight
Analytic Geometry
The Rectangular Coordinate System
Graphs of Linear Equations and Slope
Preparing to do Analytic Proofs
Analytic Proofs
Equations of Lines
Perspective on History: The Banach-Tarski Paradox
Perspective on Application: The Point-of-Division Formulas
Introduction to Trigonometry
The Sine Ratio and Applications
The Cosine Ratio and Applications
The Tangent Ratio and Other Ratios
Applications with Acute Triangles.
Perspective on History: Sketch of Plato
Perspective on Application: Radian Measure of Angles
Algebra review
Summary of Constructions, Postulates, and Theorems and Corollaries
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