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Basic Geometry for College Students: An Overview of the Fundamental Concepts of Geometry 2nd Edition

Alan S. Tussy, R. David Gustafson

  • Published
  • Previous Editions 2003
  • 176 Pages
Starting At 47.00 See pricing and ISBN options

Overview

Intended to address the need for a concise overview of fundamental geometry topics. Sections 1-7 introduce such topics as angles, polygons, perimeter, area, and circles. In the second part of the text, Sections 8-11 cover congruent and similar triangles, special triangles, volume, and surface area.

Alan S. Tussy, Citrus College

Alan Tussy has taught all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books. An extraordinary author dedicated to his students' success, he is relentlessly meticulous and creative—a visionary who maintains a keen focus on the greatest challenges students face in Mathematics. Alan received his Bachelor of Science degree in Mathematics from University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught across course and curriculum areas from prealgebra to differential equations. He is currently focusing on teaching courses related to Developmental Mathematics. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges (AMATYC).

R. David Gustafson, Rock Valley College (Emeritus)

R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.
  • Useful Objectives That Help Keep Students Focused. Objectives are now numbered at the start of each section to focus students' attention on the skills that they will learn as they work through each section.
  • Examples That Tell Students Not Just How, But WHY. Students often wonder WHY as they watch their instructor solve problems in class and as they try problems themselves at home. The Strategy and Why explanation for each worked example helps students gain a deeper understanding of algebraic concepts.
  • Examples That Ask Students to Try. The Now Try problems round off each problem and provide students with the final step in the learning process.
  • Heavily Revised Study Sets. Thoroughly revised to ensure even coverage, these sets help develop a gradual level of progression.
  • Guided Practice. All problems in the Guided Practice portion are linked to an associated worked example from that section, referring students to the proper example if they struggle solving homework problems.
  • Try It Yourself. Some Study Sets now contain Try It Yourself problems that do not have example linking. These problems promote problem recognition, and help students practice decision-making and strategy selection.
  • CONCEPTS sections in the STUDY SETS reinforce major ideas and foster independent thinking.
  • PRACTICE sections in the STUDY SETS provide the drill and practice necessary for mastery of the mathematics.
  • APPLICATIONS in the STUDY SETS provide opportunities for students to apply what they've learned to real-life situations.
  • Many problems require students to present their solutions in the form of a chart, table, or graph. Students are also asked to read data displays to obtain information necessary to solve problems.
  • SELF CHECK problems, adjacent to worked examples, reinforce newly learned skills and help students build confidence by working a similar problem. Students can refer to the solution and Authors' Notes as they solve the Self Check. The answer to each Self Check is printed underneath the problem to give students instant feedback.
  • A five-step problem-solving strategy throughout the book teaches students to analyze the problem, form an equation, solve the equation, state the conclusion, and check the result.
  • The greatest strength of the Tussy/Gustafson approach and the key to students' grasp of the language of mathematics is the STUDY SETS, found at the end of each section.
  • VOCABULARY, NOTATION and WRITING problems in the STUDY SETS are structured to improve students' ability to read, write, and communicate mathematical ideas.
1. Basic Geometric Figures.
2. More about Angles.
3. Parallel and Perpendicular Lines.
4. Triangles.
5. Quadrilaterals and Other Polygons.
6. Perimeters and Areas of Polygons.
7. Circles.
Cumulative Review Problems.
8. Congruent Triangles and Similar.
Triangles.
9. The Pythagorean Theorem and Special
Triangles.
10. Volume.
11. Surface Area.
Cumulative Review Exercises.
Appendix I.
Inductive and Deductive Reasoning.
Appendix II.
Answers to Selected Exercises.
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