by Benjamin Crowell
Number of pages: 207
This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.
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by Paul Dawkins - Lamar University
These notes should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus. Contents: Review; Limits; Derivatives; Applications of Derivatives; Integrals; Applications of Integrals.
by Paul Garrett
A short text covering introductory calculus topics: functions, limits, derivatives, critical points, minimization and maximization, l’Hospital’s rule, higher derivatives, integration, area and definite integrals, numerical integration, etc.
by R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis - CK-12 Foundation
From the table of contents: Functions, Limits, and Continuity; Derivatives; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Integration Techniques; Infinite Series.
by Leif Mejlbro - BookBoon
Most students already have assigned textbooks when studying Calculus I, therefore this free book takes a different approach. It focuses on explaining the central theories and warns students of the areas where mistakes are traditionally made.