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.
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by Thomas I. Vogel
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.
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 Alfred Lodge - Deighton, Bell, & Co.
The object of this book is to provide an easy introduction to the Calculus for those students who have to use it in their work, to make them familiar with its ideas and methods. A working knowledge of elementary algebra and trigonometry is assumed.
by David Guichard - Lyryx
The book covers the standard Calculus I and II courses, with Calculus III under development. It is accessible to first year college and university students. The emphasis in this course is on problems -- doing calculations and story problems.