Elementary Calculus by Michael Corral - Free PDF
Elementary Calculus - Table of Contents
1. The Derivative
2. Derivatives of Common Functions
3. Topics in Differential Calculus
4. Applications of Derivatives
5. The Integral
6. Methods of Integration
7. Analytic Geometry and Plane Curves
8. Applications of Integrals
9. Infinite Sequences and Series
What You Will Learn in Elementary Calculus
"Elementary Calculus" by Michael Corral is a clear and accessible introduction to "single-variable calculus", designed for students in a standard two-semester course. The book covers essential topics such as limits, derivatives, integrals, and applications, followed by sequences and series in later chapters. Each concept is introduced with straightforward explanations and examples, making it ideal for self-learners or classroom instruction.
What makes this textbook unique is its use of "infinitesimals" alongside traditional limit-based methods. This approach helps students build intuitive understanding while still developing rigorous calculus skills. The book includes nearly 1,000 exercises, many with hints or selected answers, reinforcing core ideas and encouraging active learning.
Corral’s "Elementary Calculus" is an "open educational resource" (OER), freely available under a Creative Commons license. This makes it a valuable option for educators and institutions seeking high-quality, cost-effective materials. Whether you’re new to calculus or reviewing the fundamentals, this book offers a solid foundation in the subject with a balance of theory and practice.
Book Details & Specifications
Title:
Elementary Calculus by Michael Corral - Free PDF
Publisher:
From Website Mecmath.net
Year:
2020
Pages:
346
Type:
PDF
Language:
English
ISBN-10 #:
0486484521
ISBN-13 #:
978-0486484525
License:
GNU
Amazon:
Amazon
About the Author: Michael Corral
The author
Michael Corral
is an experienced math educator and author dedicated to creating "open educational resources". Holding advanced degrees in mathematics and engineering, he teaches at Schoolcraft College and focuses on making complex math accessible to all learners. Corral’s work emphasizes "clear mathematical exposition" and uses innovative methods like "infinitesimals" to help students grasp calculus concepts intuitively. His freely available textbooks, including "Elementary Calculus", are widely used by students and educators seeking high-quality, affordable learning materials.
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