Discovering Advanced Algebra


Book Description

Changes in society and the workplace require a careful analysis of the algebra curriculum that we teach. The curriculum, teaching, and learning of yesterday do not meet the needs of today's students.







Programming the TI-83 Plus/TI-84 Plus


Book Description

Summary Programming the TI-83 Plus/TI-84 Plus is an example-filled, hands-on tutorial that introduces students, teachers, and professional users to programming with the TI-83 Plus and TI-84 Plus graphing calculators. This fun and easy-to-read book immediately immerses you in your first programs and guides you concept-by-concept, example-by-example. You'll learn to think like a programmer as you use the TI-BASIC language to design and write your own utilities, games, and math programs. About the Technology The TI-83 Plus and TI-84 Plus are more than just powerful graphing calculatorst—they are the perfect place to start learning to program. The TI-BASIC language is built in, so you have everything you need to create your own math and science programs, utilities—even games. About the Book Programming the TI-83 Plus/TI-84 Plus teaches universal programming concepts and makes it easy for students, teachers, and professionals to write programs for the world's most popular graphing calculators. This friendly tutorial guides you concept-by-concept, immediately immersing you in your first programs. It introduces TI-BASIC and z80 assembly, teaches you tricks to slim down and speed up your programs, and gives you a solid conceptual base to explore other programming languages. This book is written for beginners—no programming backgroundis assumed. Purchase of the print book comes with an offer of a free PDF, ePub, and Kindle eBook from Manning. Also available is all code from the book. What's Inside Works with all models of the TI-83, TI-83+, and TI-84+ Learn to think like a programmer Learn concepts you can apply to any language Advanced concepts such as hybrid BASIC and ASM Table of Contents PART 1 GETTING STARTED WITH PROGRAMMING Diving into calculator programming Communication: basic input and output Conditionals and Boolean logic Control structures Theory interlude: problem solving and debugging PART 2 BECOMING A TI-BASIC MASTER Advanced input and events Pixels and the graphscreen Graphs, shapes, and points Manipulating numbers and data types PART 3 ADVANCED CONCEPTS; WHAT'S NEXT Optimizing TI-BASIC programs Using hybrid TI-BASIC libraries Introducing z80 assembly Now what? Expanding your programming horizons




Advanced Calculus (Revised Edition)


Book Description

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.




Introductory Statistics 2e


Book Description

Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.




TI-Nspire For Dummies


Book Description

The updated guide to the newest graphing calculator from Texas Instruments The TI-Nspire graphing calculator is popular among high school and college students as a valuable tool for calculus, AP calculus, and college-level algebra courses. Its use is allowed on the major college entrance exams. This book is a nuts-and-bolts guide to working with the TI-Nspire, providing everything you need to get up and running and helping you get the most out of this high-powered math tool. Texas Instruments’ TI-Nspire graphing calculator is perfect for high school and college students in advanced algebra and calculus classes as well as students taking the SAT, PSAT, and ACT exams This fully updated guide covers all enhancements to the TI-Nspire, including the touchpad and the updated software that can be purchased along with the device Shows how to get maximum value from this versatile math tool With updated screenshots and examples, TI-Nspire For Dummies provides practical, hands-on instruction to help students make the most of this revolutionary graphing calculator.




Essentials of Stochastic Processes


Book Description

Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.




AP® Calculus AB & BC Crash Course, 2nd Ed., Book + Online


Book Description

REA's Crash Course® for the AP® Calculus AB & BC Exams - Gets You a Higher Advanced Placement® Score in Less Time 2nd Edition - Updated for the 2017 Exams The REA Crash Course is the top choice for the last-minute studier, or any student who wants a quick refresher on the subject. Are you crunched for time? Have you started studying for your Advanced Placement® Calculus AB & BC exams yet? How will you memorize everything you need to know before the tests? Do you wish there was a fast and easy way to study for the exams and boost your score? If this sounds like you, don't panic. REA's Crash Course for AP® Calculus AB & BC is just what you need. Go with America’s No. 1 quick-review prep for AP® exams to get these outstanding features: Targeted, Focused Review - Study Only What You Need to Know The REA Crash Course is based on an in-depth analysis of the AP® Calculus AB & BC course description outline and actual AP® test questions. It covers only the information tested on the exams, so you can make the most of your valuable study time. Written by experienced AP® Calculus instructors, the targeted review chapters prepare students for the test by only focusing on the topics tested on the AP® Calculus AB & BC exams. Our easy-to-read format gives students a quick but strategic course in AP® Calculus AB & BC and covers functions, graphs, units, derivatives, integrals, and polynomial approximations and series. Expert Test-taking Strategies Our author shares detailed question-level strategies and explain the best way to answer AP® questions you'll find on the exams. By following this expert tips and advice, you can boost your overall point score! Take REA's Practice Exams After studying the material in the Crash Course, go to the online REA Study Center and test what you've learned. Our online practice exams (one for Calculus AB, one for Calculus BC) feature timed testing, detailed explanations of answers, and automatic scoring analysis. Each exam is balanced to include every topic and type of question found on the actual AP® exam, so you know you're studying the smart way. Whether you're cramming for the test at the last minute, looking for an extra edge, or want to study on your own in preparation for the exams - this is the quick-review study guide every AP® Calculus AB & BC student should have. When it’s crunch time and your Advanced Placement® exam is just around the corner, you need REA's Crash Course® for AP® Calculus AB & BC! About the Authors Joan Marie Rosebush teaches calculus courses at the University of Vermont. Ms. Rosebush has taught mathematics to elementary, middle school, high school, and college students. She taught AP® Calculus via satellite television to high school students scattered throughout Vermont. Ms. Rosebush earned her Bachelor of Arts degree in elementary education, with a concentration in mathematics, at the University of New York in Cortland, N.Y. She received her Master's Degree in education from Saint Michael's College, Colchester, Vermont. Flavia Banu graduated from Queens College of the City University of New York with a B.A. in Pure Mathematics and an M.A.in Pure Mathematics in 1997. Ms. Banu was an adjunct professor at Queens College where she taught Algebra and Calculus II. Currently, she teaches mathematics at Bayside High School in Bayside, New York, and coaches the math team for the school. Her favorite course to teach is AP® Calculus because it requires “the most discipline, rigor and creativity.” About Our Editor and Technical Accuracy Checker Stu Schwartz has been teaching mathematics since 1973. For 35 years he taught in the Wissahickon School District, in Ambler, Pennsylvania, specializing in AP® Calculus AB and BC and AP® Statistics. Mr. Schwartz received his B.S. degree in Mathematics from Temple University, Philadelphia. Mr. Schwartz was a 2002 recipient of the Presidential Award for Excellence in Mathematics Teaching and also won the 2007 Outstanding Educator of the Year Award for the Wissahickon School District. Mr. Schwartz’s website, www.mastermathmentor.com, is geared toward helping educators teach AP® Calculus, AP® Statistics, and other math courses. Mr. Schwartz is always looking for ways to provide teachers with new and innovative teaching materials, believing that it should be the goal of every math teacher not only to teach students mathematics, but also to find joy and beauty in math as well.




Introduction to Probability


Book Description

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.




HP Prime Guide Algebra Fundamentals


Book Description

Through this Guide, learn how to use your HP Prime calculator or Apple, Android, Window app to help you learn Algebra. This Guide covers your device, whether you have the handheld calculator or iPhone, iPad, Android Phone, Android Tablet, Chromebook, or Window Tablet Free or Pro app.The Guide starts with basic Algebra rules and progresses to how Algebra rules are used in Calculus. You can readily use this Guide if you are in Pre-Algebra, Algebra I, Introductory Algebra, Algebra II, Intermediate Algebra, College Algebra, Precalculus or any higher course where Algebra is a prerequisite.The calculator¿s screens are used in the introduction of a new topic. The nice thing is the app¿s screen and interface is identical to the calculator.Through its examples and its accompanying exercise, this guide provides a Rosetta Stone effect with the language of math. Each example and its quick-check interactive exercise show both the HP Prime and the traditional step-by-step solution.A powerful feature that you will want to learn is the creation of global libraries and Application Library apps. This Guide illustrates the steps needed for creating a global library or Application Library app and using the library¿s commands or the Application Library app¿s features.Global libraries and this Guide¿s technique allow you to define a single or multiple one-line functions on a page. Global one-line functions can be any formula found in a book, new tool commands, or a set of functions that help with the understanding of complex math concepts. There are examples of all of these in this Guide.Learn how to create and run both kinds of Application Library apps, Ones that run from the Application Library screens and ones that run from the Home view or CAS view.Use this Guide and the HP Prime CAS technology to submit assignments that are error free. When you happen to have difficulties with a step, you can use your HP Prime CAS device to help you work that step until you master it.