Logarithms And Exponentials Essential Skills Practice Workbook With Answers

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Logarithms and Exponentials Essential Skills Practice Workbook with Answers

Author : Chris McMullen
Publisher : Unknown
Page : 236 pages
File Size : 54,9 Mb
Release : 2020-07-27
Category : Electronic
ISBN : 1941691323

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Logarithms and Exponentials Essential Skills Practice Workbook with Answers by Chris McMullen Pdf

Master essential logarithm and exponential skills through helpful explanations, instructive examples, and plenty of practice exercises with answers. Authored by experienced teacher, Chris McMullen, Ph.D., this self-study math workbook covers: logarithms of various bases and natural logarithms, the change of base formula, logarithm rules like the sum and difference formulas, exponential functions, hyperbolic functions and their inverses, graphs of logarithms, exponentials, and hyperbolic functions, a concise review of exponents in the first chapter, Euler's number, applications such as population growth, continuously compounded interest, and radioactive nuclear decays, an introduction to complex numbers in the last chapter, an optional chapter covering the calculus of logarithms, exponentials, and hyperbolic functions. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for working with logarithms and exponentials.

Attacking Problems in Logarithms and Exponential Functions

Author : David S. Kahn
Publisher : Courier Dover Publications
Page : 116 pages
File Size : 48,9 Mb
Release : 2015-10-21
Category : Mathematics
ISBN : 9780486793467

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Attacking Problems in Logarithms and Exponential Functions by David S. Kahn Pdf

Concise review of what high school and beginning college students need to know to solve problems in logarithms and exponential functions. Presents rigorously tested examples and coherent explanations in an easy-to-follow format. 2015 edition.

Essential Calculus Skills Practice Workbook with Full Solutions

Author : Chris McMullen
Publisher : Unknown
Page : 152 pages
File Size : 54,8 Mb
Release : 2018-08-16
Category : Calculus
ISBN : 1941691242

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Essential Calculus Skills Practice Workbook with Full Solutions by Chris McMullen Pdf

The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this comprehensive workbook (with full solutions to every problem) to share his strategies for mastering calculus. This workbook covers a variety of essential calculus skills, including: derivatives of polynomials, trig functions, exponentials, and logarithms the chain rule, product rule, and quotient rule second derivatives how to find the extreme values of a function limits, including l'Hopital's rule antiderivatives of polynomials, trig functions, exponentials, and logarithms definite and indefinite integrals techniques of integration, including substitution, trig sub, and integration by parts multiple integrals The goal of this workbook isn't to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects, such as physics or engineering

Trigonometry Essentials Practice Workbook with Answers

Author : Chris McMulen
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 41,9 Mb
Release : 2012-05-18
Category : Trigonometry
ISBN : 1477497781

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Trigonometry Essentials Practice Workbook with Answers by Chris McMulen Pdf

AUTHOR Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills. WHAT TO EXPECT This is a workbook designed to offer plenty of practice with essential skills. It is not a textbook designed to teach trigonometry, but a workbook designed to supplement a student's instruction in trigonometry. Examples and a brief description of the concepts are included to serve as a quick refresher and a guide. If you need more instruction, you should use this workbook in combination with a textbook. The last chapter involves applications of trig identities, which is a challenging topic that will mostly interest more advanced students. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that's the case with the MCAT and many math and science courses). There may be more practice than many students need, which is much better than having too little practice. Any extra pages may be helpful for teachers or parents with multiple children. DESCRIPTION This Trigonometry Essentials Practice Workbook with Answers provides ample practice for developing fluency in very fundamental trigonometry skills. Every problem can be answered without a calculator, which is very helpful for students who aren't allowed to use a calculator. This is the case in some trig and physics courses, as well as some standardized exams (like the MCAT). CONTENTS This workbook is conveniently divided up into 11 chapters so that students can focus on one trigonometry skill at a time. Skills include the following: converting between degrees and radians; expressing sine, cosine, tangent, secant, cosecant, and cotangent as fractions by looking at right triangles; solving for unknown sides and angles in 45°-45°-90° and 30°-60°-90° right triangles; determining the sine, cosine, tangent, secant, cosecant, and cotangent of multiples of 30° and 45° up to 360° (working with both degrees and radians); practice finding the reference angle for angles in Quadrants II, III, and IV; finding the inverse trig functions; applying the law of sines and the law of cosines to solve for unknown sides and angles in acute and obtuse triangles; solving problems with trig identities (like the angle sum and difference formulas); and solving algebraic equations that feature basic trig functions. EXAMPLES Each section begins with a few pages of instructions for how to solve the problems followed by some examples. These examples should serve as a useful guide until students are able to solve the problems independently. ANSWERS Answers to exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes. PHOTOCOPIES The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice. INTRODUCTION An introduction describes how parents and teachers can help students make the most of this workbook. Students are encouraged to time and score each page. In this way, they can try to have fun improving on their records, which can help lend them confidence in their math skills.

Master Essential Algebra Skills Practice Workbook with Answers: Improve Your Math Fluency

Author : Chris Mcmullen
Publisher : Unknown
Page : 390 pages
File Size : 43,6 Mb
Release : 2020-08-23
Category : Mathematics
ISBN : 194169134X

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Master Essential Algebra Skills Practice Workbook with Answers: Improve Your Math Fluency by Chris Mcmullen Pdf

Master essential algebra skills through helpful explanations, instructive examples, and plenty of practice exercises with full solutions. Authored by experienced teacher, Chris McMullen, Ph.D., this algebra book covers: distributing and factoring the FOIL method cross multiplying quadratic equations and the quadratic formula how to combine like terms and isolate the unknown an explanation of what algebra is a variety of rules for working with exponents solving systems of equations using substitution, simultaneous equations, or Cramer's rule algebra with inequalities The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving algebra problems.

Understanding Math - Introduction to Matrices

Author : B. Boates,I. Tamblyn
Publisher : Solid State Press
Page : 26 pages
File Size : 53,5 Mb
Release : 2011-09-22
Category : Education
ISBN : 9781938189005

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Understanding Math - Introduction to Matrices by B. Boates,I. Tamblyn Pdf

Trig Identities Practice Workbook with Answers

Author : Chris McMullen
Publisher : Unknown
Page : 126 pages
File Size : 45,7 Mb
Release : 2020-11
Category : Electronic
ISBN : 1941691382

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Trig Identities Practice Workbook with Answers by Chris McMullen Pdf

This trigonometry workbook focuses on trig identities. The majority of the exercises let you derive a variety of trig identities by following similar examples. If you get stuck, helpful hints in the back of the book help walk you through the solution. Other exercises include applications, such as how to find the tangent of 15 degrees without a calculator or how to apply trig identities to solve equations. This book also serves as a handy list of numerous trig identities organized by topic. The answer to every problem can be found at the back of the book. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his knowledge of trig identities.

101 Involved Algebra Problems with Answers

Author : Chris McMullen
Publisher : Zishka Publishing
Page : 258 pages
File Size : 44,9 Mb
Release : 2021-02-12
Category : Mathematics
ISBN : 1941691927

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101 Involved Algebra Problems with Answers by Chris McMullen Pdf

Sharpen your algebra skills by solving 101 "involved" algebra problems. This book includes separate sections of answers, hints, and full solutions. Prerequisites include multiplying expressions with square roots, systems of equations, the quadratic formula, the equation for a straight line, power rules, factoring, and other standard algebra techniques. A variety of problems are included, such as: systems of equations (many are nonstandard, including a quadratic term or a reciprocal, for example) simplifying expressions or solving equations that feature square roots applying algebra to derive equations variables in the denominator rules for exponents inequalities the equation for a straight line multiplying, distributing, or factoring expressions applications of algebra (such as in classic physics problems) transformations of variables exposure to techniques such as completing the square, partial fractions, or separation of variables cross multiplying ratios rationalizing the denominator and multiplying by the conjugate This book is NOT indented to "teach" algebra (though the solutions may be instructive), but is designed to offer practice with a variety of algebra skills (which most students could benefit from) for students who are familiar with the skills listed. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving algebra problems.

50 Challenging Algebra Problems (Fully Solved)

Author : Chris McMullen
Publisher : Unknown
Page : 112 pages
File Size : 52,7 Mb
Release : 2018-04-11
Category : Electronic
ISBN : 1941691234

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50 Challenging Algebra Problems (Fully Solved) by Chris McMullen Pdf

These 50 challenging algebra problems involve applying a variety of algebra skills. The exercises come with a good range of difficulty from milder challenges to very hard problems. On the page following each problem you can find the full solution with explanations. quadratic equations system of equations cross multiplying factoring and distributing the f.o.i.l. method roots and powers fractions and negative numbers slopes and y-intercepts of straight lines word problems applications

John Napier

Author : Julian Havil
Publisher : Princeton University Press
Page : 296 pages
File Size : 49,9 Mb
Release : 2014-10-05
Category : Mathematics
ISBN : 9781400852185

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John Napier by Julian Havil Pdf

The most comprehensive account of the mathematician's life and work John Napier (1550–1617) is celebrated today as the man who invented logarithms—an enormous intellectual achievement that would soon lead to the development of their mechanical equivalent in the slide rule: the two would serve humanity as the principal means of calculation until the mid-1970s. Yet, despite Napier's pioneering efforts, his life and work have not attracted detailed modern scrutiny. John Napier is the first contemporary biography to take an in-depth look at the multiple facets of Napier’s story: his privileged position as the eighth Laird of Merchiston and the son of influential Scottish landowners; his reputation as a magician who dabbled in alchemy; his interest in agriculture; his involvement with a notorious outlaw; his staunch anti-Catholic beliefs; his interactions with such peers as Henry Briggs, Johannes Kepler, and Tycho Brahe; and, most notably, his estimable mathematical legacy. Julian Havil explores Napier’s original development of logarithms, the motivations for his approach, and the reasons behind certain adjustments to them. Napier’s inventive mathematical ideas also include formulas for solving spherical triangles, "Napier’s Bones" (a more basic but extremely popular alternative device for calculation), and the use of decimal notation for fractions and binary arithmetic. Havil also considers Napier’s study of the Book of Revelation, which led to his prediction of the Apocalypse in his first book, A Plaine Discovery of the Whole Revelation of St. John—the work for which Napier believed he would be most remembered. John Napier assesses one man’s life and the lasting influence of his advancements on the mathematical sciences and beyond.

Exponential and Logarithmic Functions

Author : Marilyn Occhiogrosso
Publisher : Milliken Publishing Company
Page : 15 pages
File Size : 49,5 Mb
Release : 2010-09-01
Category : Mathematics
ISBN : 9780787728724

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Exponential and Logarithmic Functions by Marilyn Occhiogrosso Pdf

This easy-to-use packet is full of stimulating activities that will give your students a solid introduction to exponential and logarithmic functions! A variety of lessons, puzzles, mazes, and practice problems will challenge students to think creatively as they work to build their precalculus skills. Each lesson begins with a clear explanation and provides extra review and reinforcement.

You Can Do Math

Author : Sunil Tanna
Publisher : Createspace Independent Publishing Platform
Page : 88 pages
File Size : 49,9 Mb
Release : 2018-06-27
Category : Electronic
ISBN : 1721966803

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You Can Do Math by Sunil Tanna Pdf

Exponentiation, raising a number to a power, is usually the next mathematical operation that students learn about after mastering addition, subtraction, multiplication and division. This book is principally about exponentiation and performing mathematical operations on expressions that involve exponents. Additionally, the book introduces surds such as square roots, and explains how to perform common mathematical operations involving such surds. In this book, among other things, you will learn: * How exponents are pronounced * The meanings of the words base, exponent, index (plural: indices), and exponentiation * How to multiply numbers and algebraic symbols with exponents * How to divide numbers and algebraic symbols with exponents * How to raise numbers and algebraic symbols with exponents to a power * How multiplications and divisions involving different base numbers with exponents can sometimes be simplified * How to solve problems with fractional exponents * What are surds * How to perform arithmetic on expressions that contain surds * How to simplify surds and expressions containing surds * How to expand brackets when surds are involved * How to simplify fractions containing surds including "rationalizing the denominator"

Introduction to Logarithms

Author : Adrian Harrison
Publisher : Unknown
Page : 71 pages
File Size : 48,7 Mb
Release : 2019-08-02
Category : Electronic
ISBN : 1086817419

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Introduction to Logarithms by Adrian Harrison Pdf

Introduction to Logarithms This book is a part of "Easy mathematics" series which was prepared by Adrian Harrison to help students enhance their knowledge of math. This series of books include the pre-calculus and calculus topics. Introduction to logarithms was written for those people who are interested in learning logarithms and do not have necessarily previous knowledge of it. This book adopts a simple and practical approach to describe the logarithm and has been prepared for the beginners to help them understand the basic concepts of it. There are an explanation, examples with solution and working test part, which will help you to enhance your knowledge of mathematical thinking. DEFINITION PROPERTIES INVERSE OF A LOGARITHM FUNCTION TEST WITH SOLUTIONS WORKBOOK TESTS

Essential Calculus-Based Physics Study Guide Workbook

Author : Chris McMullen
Publisher : Unknown
Page : 486 pages
File Size : 49,8 Mb
Release : 2016-09-11
Category : Physics
ISBN : 1941691153

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Essential Calculus-Based Physics Study Guide Workbook by Chris McMullen Pdf

This combination of physics study guide and workbook focuses on essential problem-solving skills and strategies:Fully solved examples with explanations show you step-by-step how to solve standard university physics problems.Handy charts tabulate the symbols, what they mean, and their SI units.Problem-solving strategies are broken down into steps and illustrated with examples.Answers, hints, intermediate answers, and explanations are provided for every practice exercise.Terms and concepts which are essential to solving physics problems are defined and explained.

The Daring Invention of Logarithm Tables

Author : Klaus Truemper
Publisher : Unknown
Page : 139 pages
File Size : 53,8 Mb
Release : 2020-09-16
Category : Electronic
ISBN : 0999140205

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The Daring Invention of Logarithm Tables by Klaus Truemper Pdf

In the early 17th century, both Jost Bürgi and John Napier dared to invent a logarithm table whose construction required tens of thousands of computing steps. These tables reduced computing effort for multiplication and division by an order of magnitude. Indeed, their invention launched a computing revolution that continues to this day. The book tells the story of Bürgi's and Napier's work, and how Henry Briggs built on Napier's idea, creating a table of logarithms that was easier to use. John Napier and Henry Briggs described their methods in detail; distribution of their results was widespread. In contrast, Jost Bürgi did not leave detailed records of his work. Just a few copies of his table and terse handwritten instructions for its use have survived. To fill this gap, the book reconstructs Bürgi's thinking leading up to his table. The reader looks over his shoulder, so to speak, and learns how Bürgi came upon the idea, how he decided on the specific format of the table, and how his instructions should be interpreted. And so the reader experiences the magic of the invention of logarithms. The final chapters examine the question "Who invented logarithms?". For centuries, few people were aware of Bürgi's work; John Napier was considered to be the sole inventor. This changed at the middle of the 19th century when Jost Bürgi's work became more widely known. Since then there has been extensive debate whether Bürgi should be considered an independent co-inventor. Careful parsing of the history of logarithm going back to Archimedes of antiquity then reveals that, without doubt, John Napier and Jost Bürgi are independent co-inventors of logarithms.