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Essential Advanced Precalculus
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Book Synopsis Essential Advanced Precalculus by : Tim Hill
Download or read book Essential Advanced Precalculus written by Tim Hill and published by Questing Vole Press. This book was released on 2018-06-12 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can a set be a member of itself? How do we know that the square root of 2 is irrational? Can a graph really represent a function accurately? Is a function just a rule? Does canceling (crossing out) terms mask important algebraic properties? This entirely practical book is for the student who wants a complete command of the prerequisite material on the first day of calculus class. Success in calculus depends on having a reasonable command of all that went before, yet most precalculus students are taught only simple tools and techniques, leaving them with a superficial understanding of problem-solving. Tim Hill explains why things are true and encourages students to go beyond merely memorizing ways of solving a few problems to pass exams. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats the subject as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Provides exceptional preparation for a calculus course.- Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. Sets 2. The Real Number System 3. Functions 4. Graphs 5. Solutions
Book Synopsis Precalculus with Calculus Previews by : Dennis Zill
Download or read book Precalculus with Calculus Previews written by Dennis Zill and published by Jones & Bartlett Learning. This book was released on 2011-04-20 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advanced Precalculus by : Daniel Kim
Download or read book Advanced Precalculus written by Daniel Kim and published by Dknj. This book was released on 2019-03-15 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a mathematics textbook that covers mostly precalculus topics with some introductory calculus, as well as more advanced topics that are often not covered by a standard high school curriculum. A chapter proceeds by first establishing some central definitions and then further mathematical consequences, gradually developing the topic from scratch in the process. Unlike many other textbooks in precalculus, this book places emphasis on the art of mathematical proof, with an abundant supply of theorems, lemmas, and other problems that require such proofs. Detailed solutions and proofs are supplied as well.The main purpose is to aid readers who wish to learn precalculus and advanced supplemental topics through a more theoretical and abstract perspective and challenge their mathematical critical thinking skills rather than solve simple computational problems. The book is intended to develop the reader's conceptual understanding of the subject, as well as harness their curiosity in exploring such advanced topics. Furthermore, the book can be used as a supplementary text for students currently taking a precalculus or similar level math class who wish to learn more and go beyond the standard precalculus chapters, and into more abstract, advanced topics that are often not taught in many high schools at all.
Download or read book Essential Precalculus written by Tim Hill and published by Questing Vole Press. This book was released on 2018-06-12 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This no-nonsense guide provides students and self-learners with a clear and readable study of the most important ideas of precalculus mathematics. Tim Hill's distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few weeks what conventional schools stretch into months. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats the subject as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Provides exceptional preparation for a calculus course. - Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. The Real Line and Coordinate Plane 2. Straight Lines 3. Circles and Parabolas 4. Functions 5. Graphs 6. Trigonometry 7. Solutions
Book Synopsis Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry by : George F. Simmons
Download or read book Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry written by George F. Simmons and published by Wipf and Stock Publishers. This book was released on 2003-01-14 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pre-Calculus, Calculus, and Beyond by : Hung-Hsi Wu
Download or read book Pre-Calculus, Calculus, and Beyond written by Hung-Hsi Wu and published by American Mathematical Soc.. This book was released on 2020-10-26 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Book Synopsis Precalculus by : Mehdi Rahmani-Andebili
Download or read book Precalculus written by Mehdi Rahmani-Andebili and published by Springer Nature. This book was released on 2021-05-04 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study guide is designed for students taking courses in precalculus. The textbook includes practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve student’s problem-solving skills and basic understanding of the topics covered in their pre-calculus and calculus courses. Exercises cover a wide selection of basic and advanced questions and problems; Categorizes and orders the problems based on difficulty level, hence suitable for both knowledgeable and under-prepared students; Provides detailed and instructor-recommended solutions and methods, along with clear explanations; Can be used along with core precalculus textbooks.
Download or read book Basic Mathematics written by Serge Lang and published by . This book was released on 1988-01 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Precalculus Mathematics in a Nutshell by : George Finlay Simmons
Download or read book Precalculus Mathematics in a Nutshell written by George Finlay Simmons and published by . This book was released on 1997 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book that explains the fundamentals of geometry, algebra, and trigonometry with as fewest words as the author deems it possible.
Book Synopsis Essential Geometry with Analytic Geometry: A Self-Teaching Guide (Second Edition) by : Tim Hill
Download or read book Essential Geometry with Analytic Geometry: A Self-Teaching Guide (Second Edition) written by Tim Hill and published by Questing Vole Press. This book was released on 2020-02-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This no-nonsense guide provides students and self-learners with a clear and readable study of geometry's most important ideas. Tim Hill's distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few days what conventional schools stretch into months. - Covers classical and analytic geometry. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats geometry as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Includes problems (with solutions) that extend your knowledge rather than merely reinforce it. Contents 1. Triangles 2. Circles 3. Cylinders 4. Cones 5. Spheres 6. Analytic Geometry 7. Solutions 8. Geometry Cheat Sheet
Book Synopsis Essential Trigonometry by : Tim Hill
Download or read book Essential Trigonometry written by Tim Hill and published by Questing Vole Press. This book was released on 2013-10-16 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: This no-nonsense guide provides students and self-learners with a clear and readable study of trigonometry's most important ideas. Tim Hill's distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few days what conventional schools stretch into months. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats trigonometry as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Covers all the trigonometry needed to take a calculus course. - Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. A Few Basics 2. Radian Measure 3. The Trig Functions 4. Trig Values for Special Angles 5. Graphs of Trig Functions 6. The Major Formulas 7. Inverse Trig Functions 8. The Law of Cosines (and Sines) 9. Solutions 10. Trig Cheat Sheet
Download or read book Precalculus written by Robert F. Blitzer and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students' lives, showing that their world is profoundly mathematical.
Book Synopsis Glencoe Precalculus Student Edition by : McGraw-Hill Education
Download or read book Glencoe Precalculus Student Edition written by McGraw-Hill Education and published by McGraw-Hill Education. This book was released on 2010-01-04 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Complete Classroom Set, Print & Digital includes: 30 print Student Editions 30 Student Learning Center subscriptions 1 print Teacher Edition 1 Teacher Lesson Center subscription
Book Synopsis Precalculus, Student Edition by : McGraw Hill
Download or read book Precalculus, Student Edition written by McGraw Hill and published by McGraw-Hill Education. This book was released on 2013-01-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes Print Student Edition
Download or read book Precalculus written by Jay P. Abramson and published by . This book was released on 2014-10-23 with total page 2000 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.
Download or read book Precalculus written by James Stewart and published by Brooks/Cole Publishing Company. This book was released on 2002 with total page 1041 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this best selling Precalculus text, the authors explain concepts simply and clearly, without glossing over difficult points. This comprehensive, evenly-paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. This author team invests the same attention to detail and clarity as Jim Stewart does in his market-leading Calculus text.
Download or read book Precalculus written by Jay Abramson and published by . This book was released on 2018-01-07 with total page 1152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way. Coverage and Scope Precalculus contains twelve chapters, roughly divided into three groups. Chapters 1-4 discuss various types of functions, providing a foundation for the remainder of the course. Chapter 1: Functions Chapter 2: Linear Functions Chapter 3: Polynomial and Rational Functions Chapter 4: Exponential and Logarithmic Functions Chapters 5-8 focus on Trigonometry. In Precalculus, we approach trigonometry by first introducing angles and the unit circle, as opposed to the right triangle approach more commonly used in College Algebra and Trigonometry courses. Chapter 5: Trigonometric Functions Chapter 6: Periodic Functions Chapter 7: Trigonometric Identities and Equations Chapter 8: Further Applications of Trigonometry Chapters 9-12 present some advanced Precalculus topics that build on topics introduced in chapters 1-8. Most Precalculus syllabi include some of the topics in these chapters, but few include all. Instructors can select material as needed from this group of chapters, since they are not cumulative. Chapter 9: Systems of Equations and Inequalities Chapter 10: Analytic Geometry Chapter 11: Sequences, Probability and Counting Theory Chapter 12: Introduction to Calculus
