320 AP Calculus AB Problems Arranged by Topic and Difficulty Level is the perfect guide to help you ace the AP Calculus exam with a minimum amount of effort. The problems in this book were carefully chosen by a Ph.D. in mathematics with more than a decade of AP Calculus tutoring experience. This book is laid out in such a way that any student can immediately find the problems he or she needs to improve in a quick and efficient manner. Using this book you will learn to solve AP Calculus problems in clever and efficient ways that will have you spending less time on each problem, and answering difficult questions with ease. You will feel confident that you are applying a trusted system to a test that most students consider extremely difficult. The main part of the book consists of AP Calculus problems arranged by topic and difficulty level. You will learn many simple techniques to solve AP Calculus problems of all difficulty levels, and as you go through the book you will receive a comprehensive review of the subject. Here's to your success on the AP Calculus exam, in college, and in life.
THE OFFICIAL ACT® PREP GUIDE 2021-2022 The comprehensive guide to the 2021-2022 ACT® test, with 6 genuine, full-length practice tests in print and online. This 2021-2022 guide includes six actual ACT® tests – all of which contain the optional writing test – that you can use to practice at your own pace. To help you review test subjects and improve your understanding, this guide provides clear explanations for every answer. You’ll also get practical tips for boosting your score on the English, math, reading, and science tests, as well as the optional writing test. Additionally, you can access the six tests online through the access code provided in the guide. The code also provides access to 400 online flashcards to help you prepare for all sections in the ACT® examination. The test’s creators filled this guide with expert advice on how to both mentally and physically prepare for the exam. It will also help you: Review the entire ACT® test content so you’ll know what to expect on test day Understand the procedures you’ll follow when you’re taking the ACT® Prepare for the types of questions you can expect to find on the test Adopt test-taking strategies that are right for you The Official ACT® Prep Guide 2021-2022 is the best resource to prepare you for test day. By using this guide you can feel comfortable that you’re prepared to do your best!
The "ACT Prep Red Book" gives you the most effective tips, tricks and tactics from Dr. Steve Warner, a Math Professor and ACT math tutor whose students pay him $375 per session to access these exclusive strategies and powerful teaching methods. The unique techniques that Dr. Warner teaches are the most effective ever published and cannot be found in any other ACT prep book!The material in this book includes:• 320 ACT math problems arranged by topic and difficulty level• solutions with complete explanations for 160 problems• several different solutions for most of the 160 solved problems• 160 problems with an answer key for solving on your ownBe careful! Some of Dr. Warner's students have shown such significant score increases that the test makers have accused them of cheating with no evidence besides their score increase from one ACT to the next. If you feel that this may happen to you after using this book please contact Dr. Warner before taking your next ACT and he will tell you how to protect yourself.Beware of other books on the market that claim to be as good as Dr. Warner's. Other tutors and authors, while very intelligent, often make a mistake by teaching every student how to solve problems in the same way. They do not understand the philosophy of the test and do not always know how to translate their own genius into points which would fit a specific student's needs depending on his/her math level.The "ACT Prep Red Book" is perfect for your ACT math prep for 5 reasons:1. Dr. Warner realizes that every student learns differently and this is one of the reasons that many problems are solved in several different ways using different strategies. Every student will be able to find a solution that is a perfect fit for him/her. More advanced students will especially benefit from Dr. Warner's approach of providing multiple solutions by helping them develop many methods to solve new problems, and to give deeper insight into the problems themselves so that those problems can be solved more quickly, more easily, and with no chance of making careless errors.2. There are 320 ACT math problems to practice with split into 5 levels and distributed among the 5 general topic areas covered on the test. Explanations of the solutions are so thorough and comprehensible that even second language speakers can easily follow them.3. The book is designed to generate huge ACT score increases with only 20 minutes of math preparation each day. By arranging the problems by topic and level, you can easily pick out the problems that you need to focus on to raise your score without wasting time on problems that are too easy or too difficult for you.4. Dr. Warner's teaching methods will naturally increase your mathematical maturity so that your potential score increases simultaneously with your actual score. This means that you can actually become capable of getting a 36 even if you were not before picking up the book. The information in the introduction alone is enough to raise your ACT math score up to 2 points before you even attempt one math problem.5. Dr. Warner has had to teach ACT prep for 12 years to accumulate the powerful combination of insights and strategies found in this book. Years of experience, a Ph.D. in math, and a unique approach have led to the ultimate product that outdoes any other ACT prep book. While other books teach general mathematical knowledge, Dr. Warner's strategies are designed to exploit the test's weaknesses, which allow students to save huge amounts of time, avoid careless mistakes, and answer questions correctly while avoiding messy algebraic computations whenever possible.
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
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.
Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
The only guide from the ACT organization, the makers of the exam, with 5 genuine, full-length practice tests in print and online. The Official ACT Prep Guide 2020-2021 is the only guide from the makers of the exam and it includes actual ACT test forms (taken from past ACT exams). It offers 5 actual ACT tests (all with optional writing tests) so you can practice at your own pace. To help you review, this guide provides detailed explanations for every answer and practical tips on how to boost your score on the English, math, reading, science, and optional writing tests. The test creators also created online resources accessible through this book. You can practice online with 5 full length practice tests to mimic the test day experience. These test questions can be organized, filtered, and tracked to test your exam performance. Get ready for test day with this bestselling guide to the ACT. The Official ACT Prep Guide 2020-2021 will help you feel comfortable, confident, and prepared to do your best to ace the ACT! The Official ACT Prep Guide 2020-2021 includes: Information about the September 2020 ACT enhancements Real ACT test forms used in previous years’ exams Five full-length tests available in the book and online, including one NEW full-length test with optional writing test Online practice that mimics the testing experience Customizable questions bank with detailed answer explanations Helpful advice for test day
