A Summary of Calculus
by Karl Heinz Dovermann
Publisher: University of Hawaii 2003
Number of pages: 164
The author introduces limits and derivatives as basic concepts of calculus, provides some rules for their computations, discusses some uniqueness properties of solutions of differential equations, geometric properties of graphs, introduces the ideas of the definite and the indefinite integral, etc.
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by Matt Boelkins - Grand Valley State University
Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore.
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 R.S. Johnson - BookBoon
Part I introduces the standard techniques of elementary integration and, in some cases, takes the ideas a little further. In Part II, ordinary differential equation are explored, and the solution methods for some standard types are explained.
by Jerrold E. Marsden, A. Weinstein - Benjamin-Cummings Publishing Co.
A supplement to any calculus text, an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. The book is for calculus students and instructors interested in trying an alternative to limits.