Calculus for dummies scribd8/3/2023 The only requirement is an honest desire to learn. The purpose of this book is to enable any student to master the fundamentals of Calculus in one semester – four months. In this textbook you will find all mathematics needed for the first Calculus course clear explanations of all the principal concepts of Calculus coverage of all course fundamentals effective problem-solving skills and strategies and fully worked out problems with complete, step-by-step explanations and answers. And then it was improved, updated, and implemented to teach Science, Math, and Engineering students in college. The effectiveness of this textbook was tested in one of the most challenging (and rewarding) teaching environments – the inner-city high schools of New York. A good textbook must explain and teach its subject matter, helping the student to learn and say: That’s all? That’s easy! They forget that a mark of a good teacher is the ability to make complicated things seem easy and simple. It seems that every author of a Calculus textbook believes that every student is a born mathematician that wants to become a math professor. There are dozens of huge, expensive textbooks that are so needlessly complicated as to be practically incomprehensible. One serious difficulty in learning Calculus today is a lack of simple and clear textbooks. This misconception is so blatantly false, but so widely held, that it is probably the school system itself that propagates this ridiculous, silly notion. And regardless of student's background and the level of preparation, most students seem to have one deeply ingrained misconception about Calculus: Calculus is something so difficult and ‘far out’ that most people can not really do it at all. Over this time I have taught students of every imaginable cultural, social, and educational background, from the affluent communities in South Florida to the inner-city New York, not to mention various colleges and innumerable hours of private tutoring. This textbook is a product of two decades of teaching Calculus. Volume of a Solid of Revolution Introduction Initial Conditions and Particular Solutions to Differential Equations Indefinite Integral: Integration as Anti-differentiation Increasing and Decreasing Functions, Mean-Value TheoremĪbsolute Maximum and Minimum, Extreme-Value Theorem Writing Equations of Lines Tangent to Function f(x) Limits at Infinity and Horizontal Asymptotes Horizontal Line Test: Is It One-to-One Function?Īrithmetic Combinations and Composition of Functions He has graduated from three Universities with four degrees in Mathematics, Philosophy, Mathematical Education, and Theology. Samuel Horelick, PhD is mathematics professor and higher education consultant. No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise without prior written permission of the author, except as permitted under section 107 or 108 of the 1976 United States Copyright Act.Ībout the author: Dr. CALCULUS FUNDAMENTALS EXPLAINED Samuel HorelickĬopyright © 2019 by Samuel Horelick.
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