Index of Supplements in Math 112
Tschirnhausen cubic
Implicit differentiation example
(This won't look good on the computer screen, but it should save and print out clearly.)
Implicit differentiation problem
Proof of a case of l'Hospital's Rule
A solid with square cross-sections
That solid with volume-approximating slabs
That solid with one slab isolated
A region in the
xy
-plane rotated around the
y
-axis
Another region rotated, showing a cylindrical shell
Tricks for trigonometric integrals
Practice Exam I
(with solutions)
A second solution to Problem 6(a)
on Practice Exam I.
Exam I
(with solutions)
When do the improper integrals of 1/
x
p
converge?
Practice Exam II
(with solutions)
Exam II
(with solutions)
A parametric curve with nearly flat sections
(This won't look good on the computer screen, but it should save and print out clearly.)
The proof of the Integral Test
and the proof of its corollary. (This won't look good on the computer screen, but it should save and print out clearly.)
Quick proofs of the other convergence tests for series of positive terms
Graphs of partial sums of a power series
Using a spreadsheet for approximate integration:
screen capture
or
entire Excel spreadsheet
Practice Exam III
(with solutions)
Exam III
(with solutions)
Direction field of a differential equation
(This won't look good on the computer screen, but it should save and print out clearly.)
An example of Euler's method
in Excel. (This won't look good on the computer screen, but it should save and print out clearly.) Also,
a graph of the results
and
the original spreadsheet
.
Blank direction field
on which to sketch solutions to Exercise 8, page 599
Examples for (separable) differential equations
List of formulas for the course
Final Exam A
(with solutions) from Monday
Final Exam B
(with solutions) from Thursday
[To the course syllabus]
