Exam reviews
Exam reviews
(Note coverage of topics has moved a bit over the years)
Major topics include:
Major topics include:
- Volume (cross sections; washer; shell)
- Arc length
- Surface area
- Work; pumping; fluid force
- Mass; moments of mass; center of mass
- Parameterized curves
- Polar coordinates (graphing; symmetry)
- Area in polar coordinates
Major topics include:
Major topics include:
- Sequences (w/ limits)
- Geometric and telescoping series
- Divergence test (or n-th term test), comparison test, limit comparison test, integral test, p-series test, ratio test, root test, alternating series test
- Absolute and conditional convergence
- Power series; radius/interval of convergence
- Calculus of power series
- Taylor polynomials and error
- Taylor series for sin(x), cos(x), exp(x), 1/(1-x), (1+x)^a
- Applications of Taylor series (high order derivatives; polynomial approximation)
Final exam "unboxing"
Final exam "unboxing"