First Year Calculus
by W W L Chen
Publisher: Macquarie University 2008
Number of pages: 238
This set of notes was used by the author at Imperial College, University of London. It covers the number system, functions, introduction to derivatives, some special functions, applications of derivatives, limits of functions, continuity, differentiation, the definite integral, techniques of integration, numerical integration, applications of integration, improper integrals, ordinary differential equations, first order ordinary differential equations, second order linear ordinary differential equations, functions of two variables, interpolation and approximation, sequences, series, the binomial theorem.
Download or read it online for free here:
(multiple PDF files)
by Kenneth Kuttler
Calculus and many of its applications are discussed in this book. The reader should have a good understanding of algebra as well as geometry and trigonometry. There is also lots of non standard material, like some theorems of advanced calculus.
by John M. Erdman - Portland State University
A textbook for majors in mathematics and physical sciences, it concentrates on concepts and proofs. It is intended for students who have completed a standard introductory calculus sequence and who wish to know where all those formulas come from.
by Gregory Hartman, et al. - APEXcalculus.com
A calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now. The explanations of new concepts is clear, written for someone who does not yet know calculus.
by William V. Smith - Brigham Young University
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. The text is rigorous. We do calculus in both one and two variables at the same time.