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 Peter Saveliev - Intelligent Perception
This is a traditional first semester course in introductory calculus. The main goal is some familiarity with the derivative and its applications. Topics: Limits; Continuity; Limits; Differentiation; Maximum and minimum values of functions; Integral.
by Virgil Snyder - American book company
The derivative is presented rigorously as a limit. Maxima and minima are discussed as the turning values in the variation of a function. The related theories of inflexions, curvature, and asymptotes receive direct and comprehensive treatment.
by Leif Mejlbro - BookBoon
This volume covers partial integration, integration by simple substitutes, integration by advanced substitutions, decomposition, integration by decomposition, trigonometric integrals, MAPLE programs, moment of inertia, and mathematical models.
by Karl Heinz Dovermann - University of Hawaii
The author introduces limits and derivatives, provides some rules for their computations, discusses some properties of differential equations, geometric properties of graphs, introduces the ideas of the definite and the indefinite integral, etc.