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Course Objectives
- integrate functions using the following techniques: direct substitution,
integration by parts, trigonometric substitution, and partial fractions
- apply definite integrals to solve problems in the following application areas:
volume, the lengths of curves, surface area, work, moments and centers of gravity
- solve separable and linear first order differential equations
- find slopes, lengths, and areas associated with parametrized curves and polar coordinates
- determine the convergence or divergence of infinite sequences and infinite series using
the following: direct comparison, limit comparison, root test, ratio test, integral test,
p-series, nth term and alternating series tests
- identify, compare, contrast, and manipulate geometric series, Taylor series, binomial series and the
concept of conditional/absolute convergence
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