Trigonometry Enhanced with Graphing Utilities

Trigonometry Enhanced with Graphing Utilities, 2/e

Michael J. Sullivan, Chicago State University
Michael J. Sullivan, South Suburban College

Coming January, 2000 by Prentice Hall Engineering/Science/Mathematics

See other books about:
Plane Trigonometry with Graphing Calculators-Mathematics

Summary

For courses in Trigonometry which requires student use of a graphing calculator. Using the graphing utility to enhance mathematics, not replace it, this text approaches technology as a tool to solve problems, motivate concepts, and explore ideas. Many problems are solved using both algebra and a graphing utility, with the benefits of each illustrated. Throughout, applications and examples using real data enable students to make connections between the mathematics learned and familiar situations. The authors' user-friendly approach helps students develop the skills needed to succeed in subsequent mathematics courses.

Features

NEW—Modeling Emphasis Throughout—Includes dedicated sections on Linear Functions and Models, Quadratic Models, Power Functions and Models, and Exponential and Logarithmic Functions and Models, with many applications coming from the areas of business, finance and economics.

Allows students to build models and model building skills that they can transfer to other areas of their studies and lives.

NEW—Pedgogical Four Color Design—Using an attractive design and layout allows students and instructors to better utilize the text through visual queues.

Helps students and instructors to easily and quickly identify key elements in the text through effective use of color.

NEW—Updated Use of Technology—The new edition has kept current with available technologies incorporating the useful and time saving features of the TI-83 and TI-86.

Students have a text that utilizes the most commonly used technologies in this market.

NEW—Table of Contents—The organization of the new edition has been changed to reflect the comments and suggestions from users.

Instructors and students will find the material flows smoothly and builds logically from one concept to another.

NEW—Section Objectives—Section objectives give students a quick view of the most important concepts of the section. These objectives also tie together the integrated learning package. Each of the supplements references the section objectives throughout—i.e. the lecture videos, MathPro, etc.

Students have an easier time determining the key concepts and have an increased opportunity to use the supplements in a meaningful way.

NEW—Chapter Projects—Two to three end of chapter projects put the content of the chapter into context. Each set of projects includes at least one set of real world sources data and company circumstances. The others are good for modeling real world situations to.

Students are able to roll up all the information from the chapter and place it into context.

Clear Writing Style—Mike Sullivan's writing style is one of the most widely praised features of this series. Sullivan uses both visuals and analogies to explain concepts. He writes the book for students to understand the concept.

A well written text allows students to get the most out of increasingly limited study hours.

Now Work Problems—This icon appears after many examples throughout the text. The student is then instructed to go work a similar problem in the end of section exercises. This allows students to test their understanding as they read and gain confidence that they can handle the exercises in the end of section problem sets.

Students gain confidence in their knowledge of the subject and have a tendency to ask more specific questions when they have difficulties.

Step by Step Examples—Each step of the process is illustrated throughout many of the examples in the text. These often include “English” explanations off to the side explaining the procedures.

Students are far less likely to get “stuck” working homework problems when there are similar step by step examples.

Preparing for this Chapter—Serves as a “Just in Time” algebra review at the beginning of each chapter. It supports the idea of learning mathematics as a building block process. Students and professors can use this to determine if they have covered the materials and concepts required to move into the new chapter.

Students gain a new understanding of maintaining their base of knowledge as the course progresses.

Chapter Review—Allows students to check their own understanding of the chapter materials in several ways. “Things to Know” give a general overview of the topics and concepts. “How To” requires the student to have the mathematical skills. “True/False” tests the students vocabulary for the chapter. “Review Exercises” give a good indication of what types of problems could be on a test. Students can use the Review Exercises in blue as a sample chapter test.

Students understand that concepts, vocabulary and skills are all apart of the learning process.

Students are able to roll up all the information from the chapter and place it into context.

Sourced Real World Data—Real World Data is incorporated into examples and exercise sets to emphasize that mathematics is a tool used to understand the world around us. When a student solves a problem using real data, they learn that the skill is both relevant and useful.

Students become more motivated by the relevancy of the materials.

Historical Notes and Intro's—Most chapters open with a brief historical introduction of the chapter topic. These introductions as well as the Historical Notes (denoted by the roman column icon) offer a basic historical context for the chapter and gives the student insight as to the original application of the mathematical concepts and the people who developed them.

Students see the human side of mathematics, which makes them more motivated.

End of Section Exercises—Sullivan provides an excellent selection of quality problems ranging from basic recognition of concepts, to skill and drill and finally moving to advance applications requiring applied problem solving and multiple mathematical skills.

Students and Professors are offered numerous quality questions which can be used to learn/teach the materials more fully.

Discussion, Writing and Research Problems—Denoted by the red pen and notebook icon (or red number) require students to think about the implications and use of the solutions they obtain.

Students see the connections between the numerical answers and their implications.

Visual Exercises—Almost every set of exercises opens with visual exercises developed to foster intuitive understanding in students.

Students are able to intuitively understand the mathematical concepts prior to testing their skills.

(NOTE: Each chapter concludes with Chapter Review.)