University of Arkansas – Fort Smith
5210 Grand Avenue
P.O. Box 3649
Fort Smith, AR 72913
479-788-7000
General Syllabus
MATH
2854
C
ALCULUS
II
Credit Hours: 4 Lecture Hours: 4
Prerequisite: MATH 2804 Calculus I.
Effective: Fall 2007
I. Course Information:
A. Catalogue Description
Physical applications of integration, techniques of integration, sequences and series, conic
sections, parametric equations in two and three dimensions, and polar coordinates.
Appropriate technology is used to discover relationships and work problems not usually
possible to work by hand.
II. Student Learning Outcomes
A. Subject Matter
Upon completion of this course, the student should be able to:
1. find centroids of planar lamina and calculate the work done by a variable force
2. use as needed the following techniques to integrate functions: integration by parts,
trigonometric substitution, and decomposition into partial fractions.
3. utilize tabulated integration formulas to obtain antiderivatives.
4. graph conic sections.
5. evaluate limits of indeterminate form using L’Hopital’s rule.
6. recognize and evaluate improper integrals.
7. determine the existence of limits of infinite sequences.
8. utilize the following tests appropriately to determine the convergence or divergence
infinite series: direct comparison, limit comparison, alternating series, ratio, and root
tests.
9. expand transcendental functions as Taylor series representations and determine the
relevant interval of convergence.
10. determine parametric equations of curves in the plane and lines in space and use
these parametric representations to determine arclength.
11. convert two dimensional points and equations between rectangular and polar
coordinates.
