At the successful completion of this course the student will be able to:
· Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
· Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
· Define an improper integral.
· Apply the concepts of limits, convergence and divergence to evaluate some classes of improper integrals.
· Determine convergence or divergence of sequences and series.
· Use Taylor and MacLaurin series to represent functions.
· Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
· Use the concepts of polar coordinates to find areas, lengths of curves, and representations of conic sections.
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