Ace the AP Calculus AB Exam with this Premium version of The Princeton Review's comprehensive study guide. Includes 8 full-length Calculus AB practice tests with complete explanations, plus thorough content reviews, targeted test strategies, and access to online extras. Techniques That Actually Work • Tried-and-true strategies to help you avoid traps and beat the test • Tips for pacing yourself and guessing logically • Essential tactics to help you work smarter, not harder Everything You Need for a High Score • Fully aligned with the latest College Board standards for AP Calculus AB • Comprehensive content review for all test topics • Subjects organized into manageable units • Access to bonus drills, handy study guides, helpful pre-college information, and more via your online Student Tools Premium Practice for AP Excellence • 8 full-length practice tests (5 in the book, 3 online) with detailed answer explanations • Comprehensive end-of-chapter and subtopic drills, plus bonus questions online • Handy reference guide of key calculus formulas Read more

EVERYTHING YOU NEED TO HELP SCORE A PERFECT 5! Ace the AP Calculus BC Exam with this comprehensive study guide, which includes 5 full-length practice tests, content reviews, targeted strategies, and access to online extras. Techniques That Actually Work • Tried-and-true strategies to help you avoid traps and beat the test • Tips for pacing yourself and guessing logically • Essential tactics to help you work smarter, not harder Everything You Need for a High Score • Fully aligned with the latest College Board standards for AP Calculus BC • Comprehensive content review for all test topics • Engaging activities to help you critically assess your progress • Access to drills, study plans, a handy list of formulas, helpful pre-college information, and more via your online Student Tools  Practice Your Way to Excellence • 5 full-length practice tests (3 in the book, 2 online) with detailed answer explanations • Practice drills at the end of each content review chapter • Handy reference guide of key calculus formulas Read more

Be prepared for exam day with Barron’s. Trusted content from AP experts!Barron’s AP Calculus Premium, 2024 includes in‑depth content review and practice for the AB and BC exams. It’s the only book you’ll need to be prepared for exam day. Written by Experienced EducatorsLearn from Barron’s‑‑all content is written and reviewed by AP expertsBuild your understanding with comprehensive review tailored to the most recent examsGet a leg up with tips, strategies, and study advice for exam day‑‑it’s like having a trusted tutor by your sideBe Confident on Exam DaySharpen your test‑taking skills with 12 full‑length practice tests‑‑4 AB practice tests and 4 BC practice tests in the book, including one diagnostic test each for AB and BC to target your studying‑‑and 2 more AB practice tests and 2 more BC practice tests online–plus detailed answer explanations for all questionsStrengthen your knowledge with in‑depth review covering all units on the AP Calculus AB and BC examsReinforce your learning with dozens of examples and detailed solutions, plus a series of multiple‑choice practice questions and answer explanations, within each chapterEnhance your problem‑solving skills by working through a chapter filled with multiple‑choice questions on a variety of tested topics and a chapter devoted to free‑response practice exercisesRobust Online PracticeContinue your practice with 2 full‑length AB practice tests and 2 full‑length BC practice tests on Barron’s Online Learning HubSimulate the exam experience with a timed test optionDeepen your understanding with detailed answer explanations and expert adviceGain confidence with scoring to check your learning progress  Read more

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 logarithmsthe chain rule, product rule, and quotient rulesecond derivativeshow to find the extreme values of a functionlimits, including l’Hopital’s ruleantiderivatives of polynomials, trig functions, exponentials, and logarithmsdefinite and indefinite integralstechniques of integration, including substitution, trig sub, and integration by partsmultiple integralsThe 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. Read more

For students who are already fluent with single-variable derivatives and integrals, this workbook offers practice with essential skills from multivariable calculus (including vector calculus). Each chapter begins with a review of the essential ideas and includes fully solved examples to help serve as a guide. The full solution to every exercise can be found at the back of the book. Authored by experienced teacher, Chris McMullen, Ph.D., this self-study math workbook covers:partial derivativesextreme values with multiple variables (including saddle points)vectors, vector analysis (such as the dot and cross products), and vector calculusthe gradient, divergence, and curlthe main coordinate systems: Cartesian, 2D polar, spherical, and cylindricalpath integrals, surface integrals, and volume integralsflux integrals, center of mass, and moment of inertiatangent and normal vectorsand moreThe 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 calculus problems with multiple variables or vectors. Read more

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 logarithmsthe chain rule, product rule, and quotient rulesecond derivativeshow to find the extreme values of a functionlimits, including l’Hopital’s ruleantiderivatives of polynomials, trig functions, exponentials, and logarithmsdefinite and indefinite integralstechniques of integration, including substitution, trig sub, and integration by partsmultiple integralsThe 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. Read more

Slay the calculus monster with this user-friendly guideCalculus For Dummies, 2nd Edition makes calculus manageable―even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be.Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is―simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win.Includes foundations in algebra, trigonometry, and pre-calculus conceptsExplores sequences, series, and graphing common functionsInstructs you how to approximate area with integrationFeatures things to remember, things to forget, and things you can't get away withStop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there. Read more

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus—how it works and why it makes our lives immeasurably better.   Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down-to-earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real-world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous.Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS.As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.  Read more

Basic algebraic concepts. Useful for any student in pre-algebra and beyond as a reference tool.  Read more

This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader. The text also aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics. The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions. Each chapter ends with exercises, and nearly all include some open questions. The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis. The author believes most textbooks are extremely overpriced and endeavors to help change this.Hints and solutions to select exercises can be found at LongFormMath.com. Read more

This workbook on ordinary differential equations serves either as a handy supplement to current students or as a useful review for students who have previously studied the material. This book focuses on essential techniques for solving and understanding differential equations. Topics include:first-order differential equationssecond-order differential equationsseparable equationslinear equationshomogeneous equationsexact differential equationsautonomous differential equationsthe Wronskianinitial-value and boundary-value problemsapplications of differential equationspower series solutionsrecurrence relationsLegendre, Chebyshev, Laguerre, and Hermite PolynomialsRodrigues’ formulaand moreThe 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 differential equations. Read more

Functions, limits and derivatives for first-year calculus students. Read more

Master the math needed to excel in data science, machine learning, and statistics. In this book author Thomas Nield guides you through areas like calculus, probability, linear algebra, and statistics and how they apply to techniques like linear regression, logistic regression, and neural networks. Along the way you'll also gain practical insights into the state of data science and how to use those insights to maximize your career. Learn how to: Use Python code and libraries like SymPy, NumPy, and scikit-learn to explore essential mathematical concepts like calculus, linear algebra, statistics, and machine learning Understand techniques like linear regression, logistic regression, and neural networks in plain English, with minimal mathematical notation and jargon Perform descriptive statistics and hypothesis testing on a dataset to interpret p-values and statistical significance Manipulate vectors and matrices and perform matrix decomposition Integrate and build upon incremental knowledge of calculus, probability, statistics, and linear algebra, and apply it to regression models including neural networks Navigate practically through a data science career and avoid common pitfalls, assumptions, and biases while tuning your skill set to stand out in the job market Read more

Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader. Read more

AP Teachers’ #1 Choice!Ready to succeed in your AP course and ace your exam? Our 5 Steps to a 5 guides explain the tough stuff, offer tons of practice and explanations, and help you make the most efficient use of your study time. 5 Steps to a 5: AP Calculus BC is more than a review guide, it’s a system that has helped thousands of students walk into test day feeling prepared and confident.Everything You Need for a 5:3 full-length practice tests that align with the latest College Board requirementsHundreds of practice exercises with answer explanationsComprehensive overview of all test topicsProven strategies from seasoned AP educatorsStudy on the Go:All instructional content in digital format (available online and on mobile devices)Interactive practice tests with answer explanationsA self-guided, personalized study plan with daily goals, powerful analytics, flashcards, games, and moreA Great In-class Supplement:5 Steps is an ideal companion to your main AP textIncludes an AP Calculus BC Teacher’s Manual that offers excellent guidance to educators for better use of the 5 Steps resources Read more

Stochastic Calculus for Finance evolved from the first ten years of the Carnegie Mellon Professional Master's program in Computational Finance. The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for stochastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes.This book is being published in two volumes. The first volume presents the binomial asset-pricing model primarily as a vehicle for introducing in the simple setting the concepts needed for the continuous-time theory in the second volume. Chapter summaries and detailed illustrations are included. Classroom tested exercises conclude every chapter. Some of these extend the theory and others are drawn from practical problems in quantitative finance.Advanced undergraduates and Masters level students in mathematical finance and financial engineering will find this book useful. Steven E. Shreve is Co-Founder of the Carnegie Mellon MS Program in Computational Finance and winner of the Carnegie Mellon Doherty Prize for sustained contributions to education. Read more

Calculus: Essential Skills Practice Workbook with Full Solutions - Derivatives, Limits and Integrals 2022 EditionThis workbook has been written to provide you all the help you need to master the essential calculus skills of evaluating derivatives, limits and integrals quickly and accurately. For achieving this objective, it guides you step-by-step through the essential tool set - rules, methods and formulas - with the help of clear discussions of topics, thoroughly explained solved examples and exercises with complete solutions. In order to inculcate full student confidence, this user-friendly workbook does not shy away from clarifying even ‘simple’ calculation skills like addition of fractions, multiplication/division of exponents, use of trigonometric identities and so on.What is inside? The subject matter of the workbook has been divided into twenty one chapters with each chapter dealing with a particular topicTable of Contents 1 - Basic Differentiation Rules and the Derivatives of Polynomials2 - The Chain Rule3 - The Product Rule4 - The Quotient Rule5 - Derivatives of Trigonometric Functions6 - Derivatives of Inverse Trigonometric Functions7 - Derivatives of Exponential Functions8 - Derivatives of Logarithmic Functions9 - Derivatives of Hyperbolic Functions10 - Derivatives of Implicit Functions11 - Second Order Derivatives12 - Extreme Values-Maxima and Minima13 - Limits and L’Hôpital’s Rule14 - Indefinite Integrals and Integrals of Polynomials15 - Definite Integrals16 - Integrals of Trigonometric Functions17 - Integrals of Exponential, Logarithmic and Hyperbolic Functions18 - Integration by Polynomial Substitution19 - Integration by Trigonometric Substitution20 - Integration by Parts21 - Multiple IntegralsEach chapter of the workbook begins with a concise yet self-contained discussion of the topic of the chapter supplemented by formulas, identities and properties of various functions, their derivatives and anti-derivatives. This is followed by a number of examples that are solved step by step with explanation of every step.At the end of every chapter, a variety of practice exercises are provided to test your problem solving skills as well as your comprehension and retention of the topic.Full solution of every practice exercise can be found at the back of the workbook to allow you to check your answers. An effort is made to provide really detailed answers without skipping any steps.Who this workbook is forStudents taking introductory calculus course in high schools, colleges and universities who can use it as a text book or a supplementary bookThose from various fields like sciences, engineering, economics, medicine and others who wish to learn or to brush up their knowledge about derivatives and integrals, which they need to solve myriad problems in their respective fields.All those in home study programs, parents wanting to help their kids and other adults of all ages who wish to have a handle on differentiation and integration.About the AuthorSudhir K. Sood obtained his Ph.D. degree in fundamental particle physics. As research scientist and Professor of Physics at Universities in France, Canada and India, Dr. Sood has taught a number of courses both at introductory and advanced graduate level. He has lectured at international Physics conferences and authored numerous well-cited research papers that are published in reputed peer reviewed journals. More recently, for more than a decade, he has taught physics and mathematics to students who wish to specialize in engineering, medicine and physical science courses. Read more

AP Teachers’ #1 Choice!Ready to succeed in your AP course and ace your exam? Our 5 Steps to a 5 guides explain the tough stuff, offer tons of practice and explanations, and help you make the most efficient use of your study time. 5 Steps to a 5: AP Calculus BC Elite Student Edition is more than a review guide, it’s a system that has helped thousands of students walk into test day feeling prepared and confident.Everything You Need for a 5:3 full-length practice tests that align with the latest College Board requirementsHundreds of practice exercises with answer explanationsComprehensive overview of all test topicsProven strategies from seasoned AP educatorsWhy the Elite Edition?200+ pages of additional AP content5-minute daily activities to reinforce critical AP conceptsAP educators love this feature for bellringers in the classroom!Study on the Go:All instructional content in digital format (available online and on mobile devices)Interactive practice tests with answer explanationsA self-guided, personalized study plan with daily goals, powerful analytics, flashcards, games, and moreA Great In-class Supplement:5 Steps is an ideal companion to your main AP textIncludes an AP Calculus BC Teacher’s Manual that offers excellent guidance to educators for better use of the 5 Steps resources Read more

Math for Deep Learning provides the essential math you need to understand deep learning discussions, explore more complex implementations, and better use the deep learning toolkits.With Math for Deep Learning, you'll learn the essential mathematics used by and as a background for deep learning. You’ll work through Python examples to learn key deep learning related topics in probability, statistics, linear algebra, differential calculus, and matrix calculus as well as how to implement data flow in a neural network, backpropagation, and gradient descent. You’ll also use Python to work through the mathematics that underlies those algorithms and even build a fully-functional neural network.In addition you’ll find coverage of gradient descent including variations commonly used by the deep learning community: SGD, Adam, RMSprop, and Adagrad/Adadelta. Read more

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus—how it works and why it makes our lives immeasurably better.   Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down-to-earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real-world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous.Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS.As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.  Read more