Learning Outcomes Specific to M172:

 

1) Evaluate integrals using a variety of methods (substitution, integration by parts, partial fraction decomposition, trigonometric substitution)

2) Set up and compute integrals in applied situations, such as finding volumes of solids of revolution, arc length, surface area, work, fluid pressure, and centers of mass

3) Determine convergence/divergence of series via various tests (recognizing geometric series, root test, ratio test, alternating series test)

4) Be familiar with power series (including interval and radius of convergence) and Taylor series expansions of common functions