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| calculus problem of the day: How to Think Like a Mathematician Kevin Houston, 2009-02-12 Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician. |
| calculus problem of the day: The Humongous Book of Calculus Problems W. Michael Kelley, 2013-11-07 Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. --Includes 1,000 problems with comprehensive solutions --Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps --Kelley is a former award-winning calculus teacher |
| calculus problem of the day: Essential Calculus with Applications Richard A. Silverman, 2013-04-22 Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other precalculus material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables. Numerous problems and answers, and a newly added section of Supplementary Hints and Answers, enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline. |
| calculus problem of the day: How to Solve Word Problems in Calculus Eugene Don, Benay Don, 2001-07-21 Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems.Each chapter features an introduction to a problem type, definitions, related theorems, and formulas.Topics range from vital pre-calculus review to traditional calculus first-course content.Sample problems with solutions and a 50-problem chapter are ideal for self-testing.Fully explained examples with step-by-step solutions. |
| calculus problem of the day: Calculus Success in 20 Minutes a Day Christopher Thomas, 2006 This useful guide helps both new students and those who need a refresher course to acquire practical skills in calculus through a series of 20 lesson plans that require a minimal time commitment. All key calculus topics are covered, from common functions and their graphs to differentiation, integration, and infinite series. The book contains hundreds of practice exercises without a lot of unnecessary theory or math jargon. Bonus sections offer additional resources and tips for taking standardized tests. |
| calculus problem of the day: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking. |
| calculus problem of the day: AP Calculus AB Prep Plus 2020 & 2021 Kaplan Test Prep, 2020-02-04 Kaplan's AP Calculus AB Prep Plus 2020 & 2021 is revised to align with the latest exam. This edition features more than 1,000 practice questions in the book and online, complete explanations for every question, and a concise review of high-yield content to quickly build your skills and confidence. Test-like practice comes in 8 full-length exams, 11 pre-chapter quizzes, 11 post-chapter quizzes, and 22 online quizzes. Customizable study plans ensure that you make the most of the study time you have. We’re so confident that AP Calculus AB Prep Plus offers the guidance you need that we guarantee it: after studying with our online resources and book, you’ll score higher on the exam—or you'll get your money back. To access your online resources, go to kaptest.com/moreonline and follow the directions. You'll need your book handy to complete the process. The College Board has announced that the 2021 exam dates for AP Calculus AB will be May 4, May 24, or June 9, depending on the testing format. (Each school will determine the testing format for their students.) Expert Guidance We know the test—our AP experts make sure our practice questions and study materials are true to the exam. We know students—every explanation is written to help you learn, and our tips on the exam structure and question formats will help you avoid surprises on Test Day. We invented test prep—Kaplan (kaptest.com) has been helping students for 80 years, and 9 out of 10 Kaplan students get into one or more of their top-choice colleges. |
| calculus problem of the day: Everyday Calculus Oscar E. Fernandez, 2017-03-07 A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way. |
| calculus problem of the day: Ultralearning Scott H. Young, 2019-08-06 Now a Wall Street Journal bestseller. Learn a new talent, stay relevant, reinvent yourself, and adapt to whatever the workplace throws your way. Ultralearning offers nine principles to master hard skills quickly. This is the essential guide to future-proof your career and maximize your competitive advantage through self-education. In these tumultuous times of economic and technological change, staying ahead depends on continual self-education—a lifelong mastery of fresh ideas, subjects, and skills. If you want to accomplish more and stand apart from everyone else, you need to become an ultralearner. The challenge of learning new skills is that you think you already know how best to learn, as you did as a student, so you rerun old routines and old ways of solving problems. To counter that, Ultralearning offers powerful strategies to break you out of those mental ruts and introduces new training methods to help you push through to higher levels of retention. Scott H. Young incorporates the latest research about the most effective learning methods and the stories of other ultralearners like himself—among them Benjamin Franklin, chess grandmaster Judit Polgár, and Nobel laureate physicist Richard Feynman, as well as a host of others, such as little-known modern polymath Nigel Richards, who won the French World Scrabble Championship—without knowing French. Young documents the methods he and others have used to acquire knowledge and shows that, far from being an obscure skill limited to aggressive autodidacts, ultralearning is a powerful tool anyone can use to improve their career, studies, and life. Ultralearning explores this fascinating subculture, shares a proven framework for a successful ultralearning project, and offers insights into how you can organize and exe - cute a plan to learn anything deeply and quickly, without teachers or budget-busting tuition costs. Whether the goal is to be fluent in a language (or ten languages), earn the equivalent of a college degree in a fraction of the time, or master multiple tools to build a product or business from the ground up, the principles in Ultralearning will guide you to success. |
| calculus problem of the day: Perfect Form Don S. Lemons, 2020-06-30 What does the path taken by a ray of light share with the trajectory of a thrown baseball and the curve of a wheat stalk bending in the breeze? Each is the subject of a different study yet all are optimal shapes; light rays minimize travel time while a thrown baseball minimizes action. All natural curves and shapes, and many artificial ones, manifest such perfect form because physical principles can be expressed as a statement requiring some important physical quantity to be mathematically maximum, minimum, or stationary. Perfect Form introduces the basic variational principles of classical physics (least time, least potential energy, least action, and Hamilton's principle), develops the mathematical language most suited to their application (the calculus of variations), and presents applications from the physics usually encountered in introductory course sequences. The text gradually unfolds the physics and mathematics. While other treatments postulate Hamilton's principle and deduce all results from it, Perfect Form begins with the most plausible and restricted variational principles and develops more powerful ones through generalization. One selection of text and problems even constitutes a non-calculus of variations introduction to variational methods, while the mathematics more generally employed extends only to solving simple ordinary differential equations. Perfect Form is designed to supplement existing classical mechanics texts and to present variational principles and methods to students who approach the subject for the first time. |
| calculus problem of the day: Berkeley Problems in Mathematics Paulo Ney de Souza, Jorge-Nuno Silva, 2004-01-08 This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. |
| calculus problem of the day: Won Over William Alsup, 2019-03-01 What was it like growing up white in Mississippi as the Civil Rights Movement exploded in the 1950s and '60s. How did white children reconciled the decency and fairness taught by their parents with the indecency and unfairness of the Mississippi Way of Life, the euphemism applied to the pervasive Jim Crow. How did the Civil Rights Movement influence white kids coming of age in the most segregated place in America? Won Over, a memoir, examines these questions as it traces the journey of United States District Judge William Alsup, born white in 1945 to hard-working parents in Mississippi. They believed in segregation. But they also taught their children fairness and decency and therein lay the conflict, a struggle at the core of the human predicament in the South. As Won Over recalls near its outset, the author's earliest doubt about the system came at age twelve when what he'd thought stood as an abandoned shack at the bottom of a sand quarry turned out to be a school for black kids, whom we saw playing in the mud outside its door. At the end, Won Over reflects on a 1966 challenge by the author and his college roommate to the Mississippi Speaker Ban, an official rule against any controversial speaker coming onto a college campus in Mississippi, a rule used to quash their invitation to the state president of the NAACP to speak at their college, Mississippi State University. After a tense showdown, the roommates won that challenge. In January 1967, Aaron Henry became the first black ever to speak on a white college campus in Mississippi, receiving a standing ovation. The memoir traces the influences that drew the author from traditional Southern attitudes toward a color-blind ideal. Those influences included his older sister, Willanna, his closest circle of friends, a charismatic mentor in college, and the moral force of the Civil Rights Movement. Won Over recounts their steps along that journey — a counter protest to a John Birch Society billboard calling for the impeachment of Chief Justice Earl Warren; meeting personally with the brother of slain leader Medgar Evers to convey condolences; a letter to the editor of the statewide paper on behalf of his circle of friends declaring We are for civil rights for Negroes; joining his college roommate in a rally at Tougaloo College to support the Meredith March Against Racism; and going to the Liberty Baptist Church in Chicago to hear Dr. Martin Luther King, Jr. exhort the faithful in their summer-long protest against housing and employment discrimination. In 1967, William Alsup went on to Harvard Law School, then to clerk for Justice William O. Douglas. He briefly practiced civil rights law in Mississippi before moving to San Francisco, where he became a trial attorney and, in 1999, received an appointment as United States District Judge. |
| calculus problem of the day: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |
| calculus problem of the day: A First Course in Calculus Serge Lang, 2012-09-17 This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions. |
| calculus problem of the day: McGraw-Hill's 500 College Calculus Questions to Know by Test Day Elliott Mendelson, 2012-09-21 500 Ways to Achieve Your Best Grades We want you to succeed on your college calculus midterm and final exams. That's why we've selected these 500 questions to help you study more effectively, use your preparation time wisely, and get your best grades. These questions and answers are similar to the ones you'll find on a typical college exam, so you will know what to expect on test day. Each question includes explanations for right and wrong answers for your full understanding of the concepts. Whether you have been studying all year or are doing a last-minute review, McGraw-Hill's 500 Calculus Questions will help you achieve the final grade you desire. Sharpen your subject knowledge and build your test-taking confidence with: 500 essential college calculus questions Complete answer explanations Coverage of calculus from absolute value to space vectors |
| calculus problem of the day: Birth of a Theorem Cédric Villani, 2015-04-14 In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of aTheorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of aTheorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of aTheorem, Cédric Villani welcomes you into his. |
| calculus problem of the day: How Not to Be Wrong Jordan Ellenberg, 2014-05-29 A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description. |
| calculus problem of the day: Seize the Day Kathryn R. Biel, 2019-11-07 Current Mood: Freaking out I am one of the coolest people you’ll ever meet. I love my Pinterest boards, tacos, and witty T-shirts. But perhaps the interesting thing about me is that I’m a zookeeper at one of the nation’s best zoos. A decidedly uncool thing about me is that I took an at home DNA test, hoping to find out more about my parents’ heritages, but instead found out that I have a genetic predisposition to developing cancer. While I’d like to ignore that elephant in the room, if I don’t do something soon, I’m going to miss out on my only chance to have a baby. There’s this one little thing … Up to this point, the only guy I’ve needed in my life to be hanging all over me and expecting me to take care of him is a sloth. I’m not saying that as a euphemism for a lazy, red-flag waving an, but an actual sloth named Barry. But as awesome as Barry is, he’s not really equipped to help me have a baby. Then, out of the blue, my work archnemesis, Xander Barnes, comes up with a solution to my problem. Except he’s the last person I’d ever accept any help from. But I’m running out of time, and Xander’s offer is making me wonder if a leopard can change his spots. This might be my last chance to get everything I’ve ever wanted. Plus tacos. |
| calculus problem of the day: "Surely You're Joking, Mr. Feynman!": Adventures of a Curious Character Richard P. Feynman, 2018-02-06 One of the most famous science books of our time, the phenomenal national bestseller that buzzes with energy, anecdote and life. It almost makes you want to become a physicist (Science Digest). Richard P. Feynman, winner of the Nobel Prize in physics, thrived on outrageous adventures. In this lively work that “can shatter the stereotype of the stuffy scientist” (Detroit Free Press), Feynman recounts his experiences trading ideas on atomic physics with Einstein and cracking the uncrackable safes guarding the most deeply held nuclear secrets—and much more of an eyebrow-raising nature. In his stories, Feynman’s life shines through in all its eccentric glory—a combustible mixture of high intelligence, unlimited curiosity, and raging chutzpah. Included for this edition is a new introduction by Bill Gates. |
| calculus problem of the day: Fourier and Laplace Transforms , 2003-08-07 This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science. |
| calculus problem of the day: Day the Universe Changed James Burke, 2009-11-11 The companion volume for the award-winning PBS and BBC series from “one of the most intriguing minds in the western world” (The Washington Post). The Day the Universe Changed presents a sweeping view of the history of science, technology, and human civilization and examines the moments in history when a change in knowledge radically altered man’s understanding of himself and the world around him. James Burke examines eight periods in history when our view of the world shifted dramatically: In the eleventh century, when extraordinary discoveries were made by Spanish crusaders In fourteenth-century Florence, where perspective in painting emerged In the fifteenth century, when the advent of the printing press shook the foundations of an oral society In the sixteenth century, when gunnery developments triggered the birth of modern science In the early eighteenth century, when hot English summers brought on the Industrial Revolution In the battlefield surgery stations of the French revolutionary armies, where people first became statistics In the nineteenth century, when the discovery of dinosaur fossils led to the theory of evolution In the 1820s, when electrical experiments heralded the end of scientific certainty Based on the popular television documentary series, The Day the Universe Changed is a bestselling history that challenges the reader to decide whether there is absolute knowledge to discover—or whether the universe is “ultimately what we say it is.” “A masterful job. The result is a fascinating, focused view that boggles the mind.” —Charleston Evening Post |
| calculus problem of the day: Questions of the Day David James Vaughan, 1894 |
| calculus problem of the day: A Treatise on Isoperimetrical Problems and the Calculus of Variations Robert Woodhouse, 1810 |
| calculus problem of the day: Basic Mathematics Serge Lang, 1988-01 |
| calculus problem of the day: Knowing the Day, Knowing the World Lesley Green, David R. Green, 2013-12-05 Based on more than a decade of research in Palikur lands known as Arukwa in the state of Amapá, Brazil, Knowing the Day, Knowing the World reconsiders the dialogue between formal scholarship and Amerindian ways of knowing. Beginning and ending with a public archaeology project in the region, the book engages head-on with Amerindian ways of thinking about space, time, and personhood. Demonstrating that Palikur knowledges are based on movement and a careful theorization of what it means to be present in a place, the book makes a sustained case for engaging with different ways of knowing. It shows how this kind of research can generate rich dialogues about nature, reality, and the ethical production of knowledge. The structure of the book reflects a gradual comprehension of Palikur ways of knowing during the course of field research. The text enters into the ethnographic material from the perspective of familiar disciplines—history, geography, astronomy, geometry, and philosophy—and explores the junctures in which conventional disciplinary frameworks cannot adequately convey Palikur understandings. Beginning with reflections on questions of personhood, ethics, and ethnicity, the authors rethink assumptions about history and geography. They learn and recount an alternative way of thinking about astronomy from the Palikur astronomical narratives, and they show how topological concepts embedded in everyday Palikur speech extend to different ways of conceptualizing landscape. In conclusion, they reflect on the challenges of comprehending alternative cosmologies and consider the insights that come from allowing ethnographic material to pose questions of modernist frameworks. |
| calculus problem of the day: Inside Interesting Integrals Paul J. Nahin, 2020-06-27 What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion. |
| calculus problem of the day: AP® Calculus AB & BC All Access Book + Online Stu Schwartz, 2017-01-13 All Access for the AP® Calculus AB & BC Exams Book + Web + Mobile Updated for the new 2017 Exams Everything you need to prepare for the Advanced Placement® Calculus exams, in a study system built around you! There are many different ways to prepare for an Advanced Placement® exam. What's best for you depends on how much time you have to study and how comfortable you are with the subject matter. To score your highest, you need a system that can be customized to fit you: your schedule, your learning style, and your current level of knowledge. This book, and the online tools that come with it, will help you personalize your AP® Calculus prep by testing your understanding, pinpointing your weaknesses, and delivering flashcard study materials unique to you. REA's All Access system allows you to create a personalized study plan through three simple steps: targeted review of exam content, assessment of your knowledge, and focused study in the topics where you need the most help. Here's how it works: Review the Book: Study the topics tested on the AP® Calculus AB & BC exams and learn proven strategies that will help you tackle any question you may see on test day. Test Yourself and Get Feedback: As you review the book, test yourself with 9 end-of-chapter quizzes and 3 mini-tests. Score reports from your free online tests and quizzes give you a fast way to pinpoint what you really know and what you should spend more time studying. Improve Your Score: Armed with your score reports, you can personalize your study plan. Review the parts of the book where you are weakest, and use the REA Study Center to create your own unique e-flashcards, adding to the 100 free cards included with this book. Visit The REA Study Center for a suite of online tools: The best way to personalize your study plan is to get frequent feedback on what you know and what you don't know. At the online REA Study Center, you can access three types of assessment: topic-level quizzes, mini-tests, and a full-length practice test. Each of these tools provides true-to-format questions and delivers a detailed score report that follows the topics set by the College Board®. Topic Level Quizzes: Short, 15-minute quizzes are available throughout the review and test your immediate understanding of the topics just covered. Mini-Tests: Three online mini-tests cover what you've studied. These tests are like the actual AP® exam, only shorter, and will help you evaluate your overall understanding of the subject. 2 Full-Length Practice Tests - (1 for Calculus AB and 1 for Calculus BC): After you've finished reviewing the book, take our full-length practice exams to practice under test-day conditions. Available both in the book and online, these tests give you the most complete picture of your strengths and weaknesses. We strongly recommend you take the online versions of the exams for the added benefits of timed testing, automatic scoring, and a detailed score report. Improving Your Score with e-Flashcards: With your score reports from the quizzes and tests, you'll be able to see exactly which AP® Calculus topics you need to review. Use this information to create your own flashcards for the areas where you are weak. And, because you will create these flashcards through the REA Study Center, you can access them from any computer or smartphone. REA's All Access test prep is a must-have for students taking the AP® Calculus AB & BC exams! |
| calculus problem of the day: Calculus: 1,001 Practice Problems For Dummies (+ Free Online Practice) Patrick Jones, 2014-08-04 Practice makes perfect—and helps deepen your understanding of calculus 1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go. Gives you a chance to practice and reinforce the skills you learn in your calculus course Helps you refine your understanding of calculus Practice problems with answer explanations that detail every step of every problem The practice problems in 1001 Calculus Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time. |
| calculus problem of the day: 5 Steps to a 5 500 AP Calculus AB/BC Questions to Know by Test Day Zachary Miner, Lena Folwaczny, 2012-01-12 Organized for easy reference and crucial practice, coverage of all the essential topics presented as 500 AP-style questions with detailed answer explanations 5 Steps to a 5: 500 AP Calculus AB/BC Questions to Know by Test Day is tailored to meet your study needs—whether you’ve left it to the last minute to prepare or you have been studying for months. You will benefit from going over the questions written to parallel the topic, format, and degree of difficulty of the questions contained in the AP exam, accompanied by answers with comprehensive explanations. Features: 500 AP-style questions and answers referenced to core AP materials Review explanations for right and wrong answers Additional online practice Close simulations of the real AP exams Updated material reflects the latest tests Online practice exercises |
| calculus problem of the day: Calculus on Manifolds Michael Spivak, 1965 This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of advanced calculus in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. |
| calculus problem of the day: Pre-Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice) Mary Jane Sterling, 2022-06-01 Practice your way to a better grade in pre-calc Pre-Calculus: 1001 Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems from all the major topics in Pre-Calculus—in the book and online! Get extra help with tricky subjects, solidify what you’ve already learned, and get in-depth walk-throughs for every problem with this useful book. These practice problems and detailed answer explanations will turn you into a pre-calc problem-solving machine, no matter what your skill level. Thanks to Dummies, you have a resource to help you put key concepts into practice. Work through practice problems on all Pre-Calculus topics covered in school classes Read through detailed explanations of the answers to build your understanding Access practice questions online to study anywhere, any time Improve your grade and up your study game with practice, practice, practice The material presented in Pre-Calculus: 1001 Practice Problems For Dummies is an excellent resource for students, as well as for parents and tutors looking to help supplement Pre-Calculus instruction. Pre-Calculus: 1001 Practice Problems For Dummies (9781119883623) was previously published as 1,001 Pre-Calculus Practice Problems For Dummies (9781118853320). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. |
| calculus problem of the day: The Organized Mind Daniel J. Levitin, 2014-08-19 New York Times bestselling author and neuroscientist Daniel J. Levitin shifts his keen insights from your brain on music to your brain in a sea of details. The information age is drowning us with an unprecedented deluge of data. At the same time, we’re expected to make more—and faster—decisions about our lives than ever before. No wonder, then, that the average American reports frequently losing car keys or reading glasses, missing appointments, and feeling worn out by the effort required just to keep up. But somehow some people become quite accomplished at managing information flow. In The Organized Mind, Daniel J. Levitin, PhD, uses the latest brain science to demonstrate how those people excel—and how readers can use their methods to regain a sense of mastery over the way they organize their homes, workplaces, and time. With lively, entertaining chapters on everything from the kitchen junk drawer to health care to executive office workflow, Levitin reveals how new research into the cognitive neuroscience of attention and memory can be applied to the challenges of our daily lives. This Is Your Brain on Music showed how to better play and appreciate music through an understanding of how the brain works. The Organized Mind shows how to navigate the churning flood of information in the twenty-first century with the same neuroscientific perspective. |
| calculus problem of the day: The Mathematics of Love Hannah Fry, 2015-02-03 In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers might feel from a set of simple equations is impossible. But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In The Mathematics of Love, Dr. Hannah Fry takes the reader on a fascinating journey through the patterns that define our love lives, applying mathematical formulas to the most common yet complex questions pertaining to love: What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves—with great insight, wit, and fun—that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, mysteries of love. |
| calculus problem of the day: The Coming Day , 1891 |
| calculus problem of the day: Precalculus with Calculus Previews Dennis Zill, Jacqueline Dewar, 2011-04-20 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. |
| calculus problem of the day: Which One Doesn't Belong? Christopher Danielson, 2019-02-12 Talking math with your child is simple and even entertaining with this better approach to shapes! Written by a celebrated math educator, this innovative inquiry encourages critical thinking and sparks memorable mathematical conversations. Children and their parents answer the same question about each set of four shapes: Which one doesn't belong? There's no one right answer--the important thing is to have a reason why. Kids might describe the shapes as squished, smooshed, dented, or even goofy. But when they justify their thinking, they're talking math! Winner of the Mathical Book Prize for books that inspire children to see math all around them. This is one shape book that will both challenge readers' thinking and encourage them to think outside the box.--Kirkus Reviews, STARRED review |
| calculus problem of the day: King for a Day Olivia Hardin, He was the Crystal Cove Class of 89's foreign exchange student and without his help, she never would have passed Algebra... As captain of the dance squad, Delilah has no choice but to keep her grades up so when Matt offers to help, she immediately says yes. Falling for the class math nerd in the process was something she never expected, but to her the spark between them was the forever kind... except Matt's heart wasn't his to give. His closely guarded secret meant he didn't have the luxury of playing for keeps. Now thirty-five years later Delilah finds herself still haunted by that first taste of love when Matt unexpectedly crashes the reunion... and her heart all over again... USA Today bestselling author Olivia Hardin delivers a brand-new retro-themed contemporary romance in her contribution to the 80's Mix Tape Series. |
| calculus problem of the day: The Humongous Book of Algebra Problems W. Michael Kelley, 2008-07 Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics. |
| calculus problem of the day: Topics in Algebra I. N. Herstein, 1991-01-16 New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout. |
| calculus problem of the day: Iranian Mathematics Competitions 1973-2007 Bamdad R. Yahaghi, 2010-01-15 A collection of problems from a competition for college students organised by the Iranian Mathematical Society. It compiles problems from these competitions between 1973 and 2007 and provides solutions to most of them. It is suitable for students of mathematics preparing for competitions and for advanced studies. |
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