Math 2343 - Calculus IV Outcome Statements
Note: Starred outcomes, while important to understand, will not be included on exams.
15.1 Functions of Two or More Variables
A. Evaluate double integrals over rectangular regions by iterated integrals.
B. Interpret and evaluate the volume of a solid as a double integral.
C
*
. Compare the deﬁnition of the integral to the method of iterated integration geo-
metrically.
Homework Assignment: 1, 3, 6, 11, 13, 15, 19, 20, 23, 24
Outcome mapping:
A. 1-16
B. 13-16, 19-22, 23-30
C. 17, 18
15.2 Double Integrals over Nonrectangular Regions
A. Evaluate double integrals over nonrectangular regions.
B. Rewrite a double integral, changing the order of integration.
C. Apply double integrals to calculate areas of planar regions and volumes of solids.
Homework Assignment: 1, 3, 8, 11, 13, 17, 19, 25, 27, 29, 31, 34, 41, 45, 48, 49, 57
Outcome Mapping:
A. 1-24, 51, 52, 55
B. 13-16, 23, 41-50, 53
C. 25-40, 54, 56-60
15.3 Double Integrals in Polar Coordinates
A. Evaluate double integrals in polar coordinates.