Mat 156 --Schneider-- Spring 16-Gi 217
Location: Gi 207 Thur:4:15-5:55PM
Instructor: Robert Schneider
Contact Info:
- email: robert.schneider@lehman.cuny.edu
- web page: comet.lehman.cuny.edu/schneider/
- office hours-Gillet 200
- Tuesday 8:30-9 and 12:30-2:00
- Thursday 3:10PM-4:10 PM
- and by appointment
Books: calculus book. You may obtain Maple software at the
Math/CS Lab in Gi 222
Grading: Homework quizzess----40%
Final -- 60%
Final -October 14 4:15
General
Syllabus
Tentative-Topic Plan - to be demonstrated using Maple
- Why calculus and Riemann Sums-Aug 31
- using the maple tutor to explore Riemann Sums
- using Maple calculus1 module to explore further
- HW set 1
- Methods of Integration- 9-7
- Fundamental Theorem of Calculus
- Maple Files -- you need to download these maple files
to open them. Right click and download.
- Riemann sums work to understand fundamental theorem of
calculus
- Homework set 2
- You will be tested on the first two problem sets next week
9.14
- Finding the anti-derivative 9.14
- Volumes of Revolution
- Basic Partial Fractions-- if you can factor a polynomial in
denominator
- Growth of functions
- ln(x) = o(x^a) = o(x^(b)) = o(exp(x)) for n positive as
x-> inf, b>a
- if 1/y = x then you get |ln(1/y)| =
o(1/y^a)=o(1/y^b)=o(exp(1/y)) as y-> 0
- x^b= o(x^a) as x-> 0. (they both approach 0). Note
ln(x) -> -infinity and exp(x)-> 1 as x->0
- if you consider sequences
- ln(n) =o(n^a)= o(n^b)=o(exp(n))=o(n!)=o(n^n) as n->inf
and k positive, a<b
- L'Hopital's Rule-- gives results
- demonstrate with sequences
- Gamma
function is factorial when not integer
- Sequences and series
- Taylor Series--wont cover
- Review for Final