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For students who have completed an introductory calculus course in
high school, this textbook provides a thorough grounding in many
subsequent single variable calculus topics. Beginning with a review
of some high school calculus content, it proceeds to more advanced
material including integration techniques, applications of the
definite integral, separable and linear differential equations,
hyperbolic functions, parametric equations and polar coordinates,
L'Hopital's rule and improper integrals, continuous probability
models, and infinite series. Each chapter concludes with several
'Explorations', extended discovery investigations to supplement
that chapter's material and enhance the learning experience. The
text is ideal as the basis of a course for prospective majors in
the STEM disciplines (science, technology, engineering, and
mathematics). A one-term course based on this text provides
students with a solid foundation in single variable calculus and
prepares them for the next course in college-level mathematics, be
it multivariable calculus, linear algebra, discrete mathematics or
statistics.
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