MSUB Mathematics Department
M 171 Calculus II
Course Description
4 credits
Prerequisite: M 171
Includes techniques and applications of integration, analytic geometry and the theory of sequences and series. This course is a continuation of M 171.
Learning Outcomes

Use the finite and Riemann sums to find the area between two curves.

Use the integral to find the area between two curves, and calculate volumes of revolution, the average value of a function, and arc length.

Integrate and differentiate hyperbolic functions.

Use standard integration techniques, including trigonometric substitution, integration by parts, and partial fractions.

Identify and calculate improper integrals.

Solve firstorder linear differential equations.

Compute limits of infinite sequences, and test for monotonicity and boundedness.

Compute sums of geometric series and telescoping series.

Determine convergence, absolute convergence and divergence of infinite series using the standard convergence tests.

Compute the radius and interval of convergence of power series.

Compute Taylor series and Taylor polynomial approximation of functions.
Course Documents