MATH 2414 - Calculus II

• 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 antiderivatives 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;
• and use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.