- decide whether a real valued function with one variable is integrable or not.
- explains the concept of partition of an interval.
- computes upper and lower sums of a function with respect to a partition.
- express the notion of definite integral.
- calculates integrals of functions using Riemann sums.
- explains the properties of the definite integral.
- define the concept of indefinite integral.
- explains changing variable and integration by parts.
- expresses mean value theorem for integrals.
- defines the concept of improper integral.
- finds indefinite intgrals of functions using integral techniques.
- use definite integral in applications.
- computes the area of a plane region using integrals.
- calculate the volumes of solids of revolution.
- calculates the arc-length of a curve.
- computes the area of a surface of revolution.