Volume and Arc Length: Use cross section technique to set up Riemann sums and integrals for volumes. Formula for the arc length.

Density: Concept of density. Riemann sums and integrals for finding mass and center of mass.  

Physics: Concept of work, presure. Riemann sums and integrals for finding work, force.  

Taylor polynomials and series: Geeral expansion about x=0, and x=a, both for polynomials and series. Must know elementary series for e^x, sin x, cos x, ln(1+x), binomial series (1+x)^p. Using know Taylor series to find others by substitution, addition, multiplication, integration, differentiation. Applying Taylor series to compare functions. Must know how to use Ratio Test to find the interval of convergence. Exact formulae for finite and infinite geometric series.  

 

Partial Review Problems: All homework, quiz, lecture example problems. Page 405: 1,2,3,7,8,11,12,13,17,

Page 471: 1,4,5,7,11,12,13,14,15,19,23,