Single Variable Calculus by David Guichard
Single Variable Calculus - Table of Contents
- 1. Analytic Geometry and lines distance formula conic sections functions
- 2. The Derivative and limits continuity slope of tangent lines derivative definition
- 3. Rules for Finding Derivatives and power rule product rule quotient rule chain rule
- 4. Transcendental Functions and exponential functions logarithmic functions inverse trigonometric functions
- 5. Curve Sketching and asymptotes concavity inflection points first derivative test
- 6. Applications of the Derivative and optimization problems mean value theorem related rates
- 7. Integration and riemann sums definite integrals fundamental theorem of calculus
- 8. Techniques of Integration and substitution integration by parts trigonometric substitution partial fractions
- 9. Applications of Integration and area between curves volume of solids arc length work
- 10. Polar Coordinates, Parametric Equations and parametric curves polar area arc length polar graphing
- 11. Sequences and Series and infinite series convergence tests taylor series power series
What You Will Learn in Single Variable Calculus
In Single Variable Calculus (part of the Whitman College open textbook initiative), mathematician David Guichard provides a comprehensive, student-friendly exposition of single-variable calculus. Across 11 core chapters, this textbook covers analytic geometry, functions, limits, continuity, derivatives, optimization, integration, transcendental functions, integration techniques, sequences, and series.
Designed for undergraduate students in mathematics, physics, engineering, and computer science, Prof. Guichard balances rigorous mathematical concepts with practical problem-solving strategies. Readers are guided step-by-step through calculating rate of change, applying the Mean Value Theorem, evaluating definite integrals via the Fundamental Theorem of Calculus, and testing infinite series convergence.
Widely praised for its clear prose, open-source accessibility, and broad collection of exercise sets with selected answers, this volume stands as one of the best single variable calculus textbooks pdf available for self-study and classroom instruction. It systematically equips quantitative students with fundamental calculus tools for mastering single variable analysis 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.
Read or Downloadable Single Variable Calculus
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