An open textbook covering pre-calculus including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.
The easy way to understand and retain all the concepts taught in pre-calculus classes
Pre-Calculus All-in-One For Dummies is a great resource if you want to do you best in Pre-Calculus. Packed with lessons, examples, and practice problems in the book, plus extra chapter quizzes online, it gives you absolutely everything you need to succeed in pre-calc. Unlike your textbook, this book presents the essential topics clearly and concisely, so you can really understand the stuff you learn in class, score high on your tests (including the AP Pre-Calculus exam!), and get ready to confidently move ahead to upper-level math courses. And if you need a refresher before launching into calculus, look no further--this book has your back.
Pre-Calculus All-in-One For Dummies is the must-have resource for students who need to review for exams or just want a little (or a lot of!) extra help understanding what's happening in class.
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.
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.
Understanding precalculus often opens the door to learning more advanced and practical math subjects, and can also help satisfy college requisites. Precalculus Demystified, Second Edition, is your key to mastering this sometimes tricky subject.
This self-teaching guide presents general precalculus concepts first, so you'll ease into the basics. You'll gradually master functions, graphs of functions, logarithms, exponents, and more. As you progress, you'll also conquer topics such as absolute value, nonlinear inequalities, inverses, trigonometric functions, and conic sections. Clear, detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.
It's a no-brainer You'll learn about:
Simple enough for a beginner but challenging enough for an advanced student, Precalculus Demystified, Second Edition, Second Edition, helps you master this essential subject.
Guía de autoaprendizaje para cualquier persona que desee aprender los conceptos que preceden al Cálculo de una manera clara y concisa. Se emplea un tono de redacción bastante amigable, muchos ejercicios resueltos y propuestos, historias y hasta chistes matemáticos; apartándose del estándar clásico de los textos académicos.
Esta obra cubre todos los tópicos esenciales de Precálculo, entre ellos:
Este libro es el resultado de varias décadas de experiencia del autor enseñando Cálculo a nivel universitario.
Características más importantesThe new Must Know series is like a lightning bolt to the brain
Every school subject has must know ideas, or essential concepts, that lie behind it. This book will use that fact to help you learn in a unique way. Most study guides start a chapter with a set of goals, often leaving the starting point unclear. In Must Know High School Pre-calculus, however, each chapter will immediately introduce you to the must know idea, or ideas, that lie behind the new pre-calculus topic. As you learn these must know ideas, the book will show you how to apply that knowledge to solving pre-calculus problems.
Focused on the essential concepts of pre-calculus subjects, this accessible guide will help you develop a solid understanding of the subject quickly and painlessly. Clear explanations are accompanied by numerous examples and followed with more challenging aspects of pre-calculus. Practical exercises close each chapter and will instill you with confidence in your growing pre-calculus skills.
Must Know High School Pre-calculus features:
- Each chapter begins with the must know ideas behind the new topic
- Extensive examples illustrate these must know ideas
- Students learn how to apply this new knowledge to problem solving
- 250 practical review questions instill confidence
- IRL (In Real Life) sidebars present real-life examples of the subject at work in culture, science, and history
- Special BTW (By the Way) sidebars provide study tips, exceptions to the rule, and issues students should pay extra attention to
- Bonus app includes 100 flashcards to reinforce what students have learned
Expanding Mathematical Toolbox: Interweaving Topics, Problems, and Solutions offers several topics from different mathematical disciplines and shows how closely they are related. The purpose of this book is to direct the attention of readers who have an interest in and talent for mathematics to engaging and thought-provoking problems that should help them change their ways of thinking, entice further exploration and possibly lead to independent research and projects in mathematics. In spite of the many challenging problems, most solutions require no more than a basic knowledge covered in a high-school math curriculum.
To shed new light on a deeper appreciation for mathematical relationships, the problems are selected to demonstrate techniques involving a variety of mathematical ideas. Included are some interesting applications of trigonometry, vector algebra and Cartesian coordinate system techniques, and geometrical constructions and inversion in solving mechanical engineering problems and in studying models explaining non-Euclidean geometries.
This book is primarily directed at secondary school teachers and college professors. It will be useful in teaching mathematical reasoning because it emphasizes how to teach students to think creatively and strategically and how to make connections between math disciplines. The text also can be used as a resource for preparing for mathematics Olympiads. In addition, it is aimed at all readers who want to study mathematics, gain deeper understanding and enhance their problem-solving abilities. Readers will find fresh ideas and topics offering unexpected insights, new skills to expand their horizons and an appreciation for the beauty of mathematics.