Important Information.
Textbook.
Required textbook:
- Calculus and Analytical Geometry, 9th Ed., Thomas and Finney
(blue cover) OR Thomas's Calculus, Alternate Edition, Thomas and
Finney (maroon cover)
Lecture Notes.
Extra (non-book) notes will be posted here as they become available
throughout the course.
- Jan 31 (section 5.6): on pg. 400 of the book it gives the formula for the
frustrum (great word!) of a cone without any justification. Unrolling the
frustrum (heehee) gives a strip of a circular wedge; from this we can
derive the area using basic geometry.
- Jan 31 (section 5.6): a good application "word problem" related to volumes
and surface areas of revolution: A parabolic bowl is made by rotating the
function y = x2/m (for some constant m) around the y-axis; the bowl
has to hold 1 liter (1000 cm3); what should m be to minimize the
cost of the materials used to make the bowl? Solution: if the bowl has
height H, we can determine the volume of revolution to be m(pi)H2,
so H = sqrt(1000/(m.pi)) in order for the bowl to hold 1000 cm3.
Now we can determine the surface area as a function of m and find the minimum.
However, this is messy messy messy and is best done with the
aid of something like Mathematica.
Policies.
Official CU policy information:
