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ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun.Ó In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.
This manual is intended to accompany Essentials of Precalculus with Calculus Previews, Fifth Edition, by Dennis G. Zill and Jacqueline M. Dewar. It consists of five parts, described below. Topics in Algebra: This part consists of short discussions of appropriate topics from a prerequisite algebra course (such as synthetic division), as well as topics intended to assist the student in becoming a more effective problem solver (such as implicit conditions in a word problem). Use of a Calculator: While much of the material discussed will be pertinent to any graphing calculator, the references in this manual will be to the TI-84 family of calculators. After a few brief comments on the use of the TI-84 calculator, this manual will focus on how to use the calculator to either assist in the solution of some of the problems in the text or to check that your solution is correct or at least reasonable. Basic Skills: This is a list for each section in the text of the skills needed to solve the more manipulative problems in the section. Selected Solutions: Includes complete solutions to every third problem in each section of the text are given. Final Examination Answers: As indicated by the title of this part, the answers are provided for each of the 70 problems on the final examination.
Building off the success of Zill and Dewar's popular Precalculus with Calculus Previews, Fourth Edition, the new Expanded Volume includes all the outstanding features and learning tools found in the original text while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added three additional chapters making the text a clear choice for many mainstream courses. New chapters include: Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses.
Appropriate for introductory courses in College Algebra and Precalculus. Sobel and Lerner provide teachers with a teachable text and students with a readable text that will properly prepare them for future courses, particularly calculus. The text is designed specifically to ease the transition to calculus and directly involve the graphing calculator.
- By Darryl Nestor, Bluffton University - Provides instructions and keystroke operations for the TI-83/83 Plus, TI-84 Plus, TI-85, TI-86, and TI-89 - Also contains worked-out examples taken directly from the text