Single Variable Calculus by David Guichard
Single Variable Calculus - Table of Contents
1. Analytic Geometry
2. The Derivative
3. Rules for Finding Derivatives
4. Transcendental Functions
5. Curve Sketching
6. Applications of the Derivative
7. Integration
8. Techniques of Integration
9. Applications of Integration
10. Polar Coordinates, Parametric Equations
11. Sequences and Series
What You Will Learn in Single Variable Calculus
"Single Variable Calculus" by "David Guichard" is a clear and student-friendly introduction to "calculus" focused on functions of one variable. Designed for undergraduate learners, the book carefully explains core topics such as "limits", "derivatives", and "integrals", helping students build a strong mathematical foundation. Guichard presents concepts step by step, making complex ideas easier to understand for beginners in mathematics, science, and engineering.
The textbook emphasizes "conceptual understanding" rather than memorization. Through guided examples, practice exercises, and real-world applications, students learn how calculus works and why it matters. Each chapter is structured to strengthen problem-solving skills, encouraging learners to think critically and apply mathematical reasoning to practical situations. Visual explanations and carefully designed problems help reinforce learning.
Ideal for classroom use or self-study, "Single Variable Calculus" balances clarity with academic rigor. It prepares students for advanced mathematics courses by developing both computational accuracy and analytical thinking. David Guichard’s approachable writing style makes this book a valuable resource for anyone seeking to master foundational calculus concepts with confidence.
Book Details & Specifications
Title:
Single Variable Calculus by David Guichard
Publisher:
David Guichard
Year:
2010
Pages:
320
Type:
PDF
Language:
English
ISBN-10 #:
B009AOI1UI
ISBN-13 #:
B009AOI1UI
License:
CC BY-NC-SA 4.0
Amazon:
Amazon
About the Author: David Guichard
The author David Guichard
is a mathematics professor at "Whitman College" and the author of "Single Variable Calculus". He is known for writing clear, structured content that explains "limits", derivatives, integrals, and series in an approachable way. Guichard strongly supports "open educational resources", offering his calculus textbook under a Creative Commons license for free access and adaptation. His work helps students build strong foundations in "single variable calculus", making complex ideas easier to understand through logical explanations and well-designed examples.
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