by William V. Smith
Publisher: Brigham Young University 2001
Number of pages: 144
Here is a free online calculus course. This is essentially an ordinary text, but you can read it online. There are lots of exercises and examples. This text is somewhat unusual for two reasons. The text is rigorous. (Proofs are done for nearly everything - eventually.) We do calculus in both one and two variables at the same time.
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by H. Jerome Keisler - Bodgen & Quigley
This is a calculus textbook at the college Freshman level based on infinitesimals. This approach puts the ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners than the more common approach via limits.
by Marcel B. Finan - Arkansas Tech University
These are lecture notes of a freshmen-level and sophomore-level mathematics class offered at Arkansas Tech University. The text represents a serious effort to produce exposition that is accessible to a student at freshmen or sophomore levels.
by H. Jerome Keisler - University of Wisconsin
This monograph is a companion to 'Elementary Calculus'. It can be used as a quick introduction to the infinitesimal approach to calculus for mathematicians, as background material for instructors, or as a text for an undergraduate seminar.
by W W L Chen - Macquarie University
These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.