Mat 156 --Schneider-- Spring 16-Gi 217
Location: Gi 217 TTH 9:00- 10:40 PM
Instructor: Robert Schneider
Contact Info:
Books: calculus book. You may obtain Maple software at the
Math/CS Lab in Gi 222
Grading: Homework quizzess----40%
Final -- 60%
Final -
-
Tuesday Class- in classroom Tuesday May 24 from 9-11
-
Thursday Class- in classroom Thursday May 19 from 9-11
General
Syllabus
Department
Labs-- this is a zipped version and should download
automatically. You will have to uncompress. These files are also
on the lab website.
Topic Plan - to be demonstrated using Maple
- Why calculus and Riemann Sums
- using the maple tutor to explore Riemann Sums
- using Maple calculus1 module to explore further
- HW set 1
- Methods of Integration
- Fundamental Theorem of Calculus
- Maple Files -- you need to download these maple files
to open them. Right click and download.
- Riemann sums work
- Examples for fundamental theorem of calculus. Remember you
must download this file before opening.
- Homework
set 2- test this Thur Feb 25 and next Tue
- Finding the anti-derivative
-
derivatives and integrals
- 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
- Review for Final
- Riemann Sums -1 problem
- Techniques of Integration- 1 problem
- Recognize growths of functions see lesson-- 1 problem
- Sequences and Series - 1 problem
- Taylor series- 1 problem
- HW on Taylor
Series--pdf
- a maple file
for Taylor Series
- you should be able to plot taylor series against
function. I may ask you what you expect the radius of
convergence to be.You should be able to show that the
approximation of the taylor series gets better with more
terms (for good functions)
- MAPLE FILES FOR FINAL