Math 152: Review Handouts by Svenja Lowitzsch and Eric Bahuaud
In these handouts, you will find review material as well as problems
for you to work on. These will serve as an excellent review for common
examinations as well as for your finals.
Substitution
rule; areas between curves; also review the following material on
your own as preparation: trigonometric formulas, derivative rules,
L'Hospital's Rule, integral tables, Fundamental Theorem of Calculus.
Volumes by disks/washers; volumes by cylindrical shells
Work; average value; integration by parts
Trigonometric integrals; trigonometric substitution; partial fractions
Approximate integration: Left sum, right sum, midpoint, trapezoidal,
and Simpson's rules
Improper integrals; separable and first order linear differential equations
Arc length; surface area of revolution; moments and center of mass
Hydrostatic pressure and force; sequences
Series
Series tests: integral test, p-series test, comparison test,
limit comparison test, alternating series test, ratio test; absolute
and conditional convergence
Power series; representation of functions as power series; Taylor and
Maclaurin series
Series review problems
Vectors; algebra of vectors; dot product
Cross product; lines and planes in space
Please send comments, questions, or suggestions regarding this page
to Art Belmonte at
"belmonte@calclab.math.tamu.edu".
Last updated Fri, 20/Apr/2001, 11:55 am