|
A brief history of calculus |
With links to
Newton, Leibniz, Fermat, Taylor, Cauchy, etc... |
|
Calculus.org |
Resources for the
Calculus Student |
|
Graphing piecewise functions on the TI-83/84 |
From TI's web
site |
|
Definition of the
derivative: a demo |
From Demos With a
Positive Impact |
|
Differentiation problems |
from
Calculus.org |
|
Practice MAXX problems |
from
Calculus.org |
|
Definition of the
derviative demo |
from Demos with
Positive Impact |
|
Related Rates demos |
from Demos with
Positive Impact |
Optimization demos
1.
Distance between a point and graph of f
2. Path
with quickest time (rowing and walking)
3.
Maximize area of inscribed rectangle |
from Demos with
Positive Impact |
|
Riemann Sums demo |
from Demos with
Positive Impact |
|
Acceleration, velocity, position problems |
Straight line
motion problems involving antiderivatives |
|
Volume by Cross Sections:
Pyramid |
from Demos with
Positive Impact |
|
Solids of Revolution: Method of Disks demo |
from Demos with
Positive Impact |
Solids of Revolution: Method
of Washers demo
1. Generating a single washer
2. Generating seven washers to depict the entire process
3. Animation as the number of washers approaches infinity |
Helpful
Region bounded between
y = 1, y = (x-1)2+1, x = 1.
from Demos with
Positive Impact |
Solids of Revolution: Method
of Shells demo
1. Generating a single cylindrical shell
2. Generating seven shells to depict the entire process
3. Animation as the number of shells approaches infinity |
Very helpful
Region bounded between y = 0, x = 0, y =
1, y = x2 +1.
from Demos with
Positive Impact |
Volumes whose base is region bounded graph of f and
x-axis
1.
The semicircular cross sections of a solid whose
base is in the xy-plane between the x-axis
and the curve y=sqrt(x) over [0, 9]
demo.
2.
The equilateral triangular cross sections of a solid with base an arch of
y = sin(x) on [0, pi].
3. The isosceles right triangle cross sections of
a solid with base a circle of radius 2. |
Very helpful
from Demos with
Positive Impact |
|
2008 MC1X lessons and dates |
September through November |
|
January 2003 MAXX Final |
Answer key for 2003 |
|
January 2004 MAXX Final |
Answer key for 2004 |
|
January 2005 MAXX Final |
Answer
key for 2005 |
|
January 2006
MAXX Final |
Answer
key for 2006 |
|
January 2007 MAXX Final |
Answer key uploaded 5PM 1/26/09 |
|
January 2008 MAXX Final |
|
|
Accumulation functions |
1. Problems |
2.
On the TI-83/84 |
|
Slope field handout |
From the College
Board's AP Calculus web site |
|
Slope field problems from Larson's 7th Ed. |
|
5.2 #41 |
5.4 #113 |
5.4 #114 |
5.5 #69 |
5.5 #70 |
5.6 #15 |
5.6 #16 |
5.7 #87 |
5.7 #88 |
5.7 #89 |
5.7 #90 |
5.9 #51 |
5.9 #52 |
|
Slope fields and the logistic model |
from Larson's 7th
Ed. |
|
Average value problem |
Calculator active |
|
2002 AB exam |
The 6 free
response questions |
|
2002 AB exam
(form B) |
The 6 free
response questions |
|
2003 exam |
The 6 free
response questions |
|
2003 AB exam (form B) |
The 6 free
response questions |
|
2004 AB exam |
The 6 free
response questions |
|
2004 AB exam
(form B) |
The 6 free
response questions |
|
Exam tips: especially "The Top 10 Student
Errors" |
From the College
Board's AP Calculus web site |
|
MAXY 2004 final |
Answer key for 2004 |
| MAXY 2005 final
will be posted in 2009 |
Answer key for 2005
NA |
|
MAXY 2006 final will be posted in 2009 |
Answer key for 2006 NA |
![The semicircular cross sections of a solid whose base is in the xy-plane between the x-axis and the curve y=sqrt(x) over [0, 9] demo.](http://mathdemos.gcsu.edu/mathdemos/sectionmethod/sqrtcirccross75.gif){kind=link}
