Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.

Conceptual Calculus, initially written as an AP Calculus Grand Review, reorients the focus of calculus away from the formulas toward understanding their underlying meanings and implications. Not only does this book give the whys to the hows, it also makes connections between seemingly disparate ideas and simplifies concepts to where even a seventh grader can understand. As a compendium for crammers, advanced students, and new teachers alike, every important topic is fully explained, with appendices included for a quick pocket review. Grouped into six big ideas, Conceptual Calculus is here to answer all of your AP Calculus conceptual needs.

All the Calculus concepts and their applications are based on functions. Most students who fail or find it very difficult to pass their calculus course are proved to have a poor understanding of the concept of function. It also involves a lack of the association between a function and its graph. These facts gave rise to the production of this text exclusively dedicated to the study of functions. The text aims at helping students overcome what would surely be a serious obstacle for them to succeed in their Calculus course. The content is presented in an easy way so that students can reach the essence of the concept. To achieve the same purpose, easy examples are given and explained in detail. A set of 566 exercises are proposed for the students so that they can practice what they have learned. An answer to each proposed exercise is also provided at the end of each chapter. Without a doubt, this text provides the students with the basis for succeeding in their study of Calculus.The book starts with a discussion on relations since functions are cases of relations. The second chapter deals with the definition of a function as a relation between sets of any type, including numerical ones. This chapter provides the foundations to focus on the study of functions of a real variable in the third chapter. These are the functions established between sets of real numbers and they constitute the building blocks of calculus. This chapter covers most of the book, as it constitutes its core. Special attention is given to the construction and use of graphs. Also, the real functions mostly used in calculus applications are studied in this chapter. The fourth chapter tackles arithmetic operations with real functions and based on them the determination of domains.The explanations are given by using an easy language accessible to all students regardless of their level of knowledge. Along with the explanations, very simple examples are presented, since the objective is to help the student understand the concepts and not make them appear as complicated topics only accessible to privileged minds. However, it is important to highlight that the students should be familiar with the symbols and the language used in propositional logic as well as having a basic knowledge of set theory. The students who are not familiar with these topics should then previously review textbooks that deal with these themes. By carefully reading the entire book without omitting any section and by doing all the exercises proposed, the students will get the knowledge on functions required to guarantee their success in their calculus courses. The author is both an engineer and an economist who graduated from the Central University of Venezuela. He also earned an MSc in Development Planning from the same university. Additionally, he earned an MSc in Economics from the Queen Mary College of the University of London, and a Ph.D. in Planning Studies from the University College London of the same university. He has been a visiting researcher at the London School of Economics, the University of Ottawa, and the University of Oxford. Dr. Gallo has more than thirty years of teaching experience in mathematics and he currently works as a Math tutor at the Houston Community College. He has also published several textbooks on both Mathematics and Econometrics.

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A high-school mathematics teacher who learned how to sequence and present ideas during his 30-year career presents a bridge for beginning calculus students to study independently in preparation for a traditional calculus curriculum or as supplemental material for students who are currently in a calculus class.

Contains solutions to the odd-numbered problems from the end-of-section exercises and Chapter Review Tests. Solutions are given for the full version of the student text. (Student Solution Manual, Brief features Chapters 1-7 of the full text.)

From the University of Florida Department of Mathematics, this is the first volume in a three volume presentation of calculus from a concepts perspective. The emphasis is on learning the concepts behind the theories, not the rote completion of problems.

This book is for only two kinds of people: those who are interested in science and math, and those who aren't. And so, motivated by this powerful idea, Calculus for Everyone presents the mathematics of change in an extremely effective way for anyone with a first-year course in algebra. Yet it does so without dumbing calculus down. In fact, Calculus for Everyone is not only for students who would have never dreamt of taking calculus, it is also for those who have already taken a standard calculus course, as well as for those who will go on to take such a course Based on more than a decade of classroom experience, this book provides mastery of calculus's core by focusing on the foundational concepts of limits, derivatives, and integrals, explaining how all three are united in the fundamental theorem of calculus. Moreover, Calculus for Everyone explains how the story of calculus is central to Western culture, from Plato in ancient Greece, to today's modern physics. Indeed, this book explains why calculus is needed at all-and why it is needed so badly. By mastering the core of calculus-as well as seeing its meaning and significance-students will not only better understand math and science in general, but contemporary culture and their place in it.

"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.