by Paul Garrett
Number of pages: 78
A short text covering introductory calculus topics: inequalities, functions, limits, derivative of a function, general power functions, chain rule, tangent and normal lines, critical points, minimization and maximization, approximation by differentials, intermediate value theorem, l’Hospital’s rule, the second and higher derivatives, inflection points and concavity, asymptotes, basic integration formulas, substitutions, area and definite integrals, lengths of curves, numerical integration, etc.
Home page url
Download or read it online for free here:
by Kenneth Kuttler - Brigham Young University
The difference between advanced calculus and calculus is that all the theorems are proved completely. Routine skills are supposed to be mastered and have no place in advanced calculus which deals with the issues related to existence and meaning.
by Leah Edelstein-Keshet - University of British Columbia
Contents: Areas, volumes and simple sums; Fundamental Theorem of Calculus; Applications of the definite integral to velocities and rates, calculating volume, mass, and length; Techniques of Integration; Differential Equations; Infinite series...
by Faraz Hussain
Online introductory book on Calculus that focuses on concepts, without complex and abstract jargon. Integrated throughout the e-book are many engineering applications aimed at developing the student's scientific approach towards problem solving.
by John Perry - E. Arnold
This book describes what has for many years been the most important part of the regular college course in the Calculus for Mechanical and Electrical Engineering students. The students knew only the most elementary mathematics.