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Multivariable Calculus
MA3160, Section 3
Spring 2003
Link to the microscope for Monday, 4/21:
A vector-field microsccope to visualize derivatives, including a flow program that lets you see how polygons distort under the flow of a vector field. Divergence is seen as the increase in area, while curl is seen as the rotation.
Course Information
Informative Handouts
Some formulas you'll be using:
Helpful References
Click here
for instructions on how to edit your Netscape Preferences in order to
view postscript documents (like some of these below) directly from Netscape.
Labs
Download these notebooks by holding the Shift key while you click the
left mouse button on the link.
- Homework help for the section 19.1 homework,
can be found in sec19_1.nb.
- Help in computing line integrals for secion 18.2
is in sec18_2.nb.
- Help in drawing parametric curves for secion 3.8
is in sec3_8.nb.
- Homework help for the section 16.3 homework,
can be found in sec16_3.nb.
- Homework help for the section 16.2 homework,
can be found in sec16_2new.nb.
- To check your answers to section 15.3 homework,
use sec14_3.nb.
- Use sec15_1.nb
to check your answers to section 15.1 homework.
- A Mathematica notebook,
w14_1.nb, contains
Mathematica commands which can be used to
generate graphs for the Play-Doh worksheet (section 15.1).
It also has a cute little animation that shows how to deform
a Play-Doh bowl into a graph for problem 15.
To download this to your account, hold the Shift key while
you click the left mouse button.
- Use partials.nb
to generate the graphics Tami used for
illustrating partial derivatives and
their relationship to cross-sections
(section 14.1).
- Use sec12_5.nb
to generate the graphics Tami used for
graphing slices of functions of three variables (section 12.5).
- If you have not used Mathematica before, you should
work through Lab Project 1
and Lab Project 2.
- This introduction to 3-D graphs is
a Mathematica notebook with simple instructions for
making all kinds of graphs which will be useful in this class.
- A Mathematica notebook,
graphs.nb, contains
Mathematica commands which can be used to
generate 3-D graphs.
To download this to your account, hold the Shift key while
you click the left mouse button.
- A Mathematica notebook,
w16_1.nb, contains
Mathematica commands which can be used to
generate parametric plots.
To download this to your account, hold the Shift key while
you click the left mouse button.
Possibly useful calculus links
Possibly useful study links
Calculator links:
(Not all links have been tested -- let me know if some aren't working.)
(And let me know which ones are useful!)
Some pictures
trolson@mtu.edu
