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Description

Spring 2016

Boltje

MATH 19

Covers the basics of integration, reimann sums, Fundamental Theorem of Calculus, and the substitution method.

Areas between curves, volume, density, average value, disk and shell methods for volumes of revolution, physics applications

Integration by parts, Trig integrals, trig substitution

Integration by parts, trig integrals/substitution, partial fractions, improper integrals

Arc length, surface area, linear approximation, taylor polynomials, linearization, error bound

sequences, summing infinite series, convergence and divergence of a series with positive terms

Absolute and conditional convergence, ratio and root tests

Power series, radius of convergence, series differentiation, taylor series + shortcuts, binomial series

Concepts that will likely be covered on final