
 
Math 100 (104): Partial Course Notes

Sep. 9:
very brief review of functions and graphs

Sep. 11:
the tangent and velocity problems; limits

Sep. 14, 16:
calculating limits using the limit laws

Sep. 16, 18:
continuity

Sep. 18, 21:
limits at infinity: horizontal asymptotes

Sep. 21, 23:
derivatives and rates of change

Sep. 23:
the derivative as a function

Sep. 25:
differentiation rules

Sep. 28,30:
derivatives of trig functions

Oct. 5:
chain rule

Oct. 7, 9:
inverse functions and logarithms

Oct. 14:
implicit differentiation

Oct. 14, 16:
derivatives of logarithms

Oct. 19:
rates of change in the natural and social sciences

Oct. 19, 21:
exponential growth and decay

Oct. 23:
related rates

Oct. 26:
linear approximation

Oct. 26, 28:
Taylor polynomials (online notes on Taylor polynomials are
here)

Oct. 30:
Taylor's formula with remainder

Nov. 2:
Taylor series

Nov. 9:
Maximum and minimum values

Nov. 13:
mean value theorem

Nov. 16, 18:
how derivatives affect the shape of a graph

Nov. 20:
summary of curve sketching

Nov. 23, 25:
optimization problems

Nov. 27:
Newton's method

Nov. 30,
Dec. 2:antiderivatives
