## Problem banks

Problem banks

The following contain the problem banks for each week from which the quiz questions will be drawn. In addition there is usually a collection of related problems which come from previous exams and reviews. While you are not expected to work all of the related problems, if you want to do well in the course, then you should be able to know how to answer these problems.

- Week 1 -- Review material
- Week 2 -- Integration by parts; trigonometric integrals
- Week 3 -- Trig substitution; partial fractions
- Week 4 -- Numerical integration; improper integration
- Week 6 -- Volumes; arc length
- Week 7 -- Surface area; work; fluid pressure
- Week 8 -- Center of mass; parameterized curves; arc length; surface area
- Week 9 -- Polar coordinates: graphing; area; arc length; tangent lines
- Week 11 -- Sequences; geometric series; telescoping series; integral test
- Week 12 -- Comparison test; limit comparison test; root test; ratio test
- Week 13 -- Alternating series test; radius/interval of convergence; calculus of power series
- Week 14 -- Taylor polynomials; Taylor series; applications of Taylor polynomials and series (finding derivatives; estimating integrals; finding exact values); binomial series