- Encyclopedias on the web : On these sites you can find brief descriptions of almost any topic we will cover.
- Calculus web-sites :
- Calculus.org
Offers tips on how to prepare for exams, some supplemental notes about
multi-variable calculus. Some web-based programs (called applets) are
also provided.
- The Math Forum Especially math tools under the "resources and tools" menu can be useful.
- Calculus by Gilbert Strang
This is a free book available online (thanks to Gilbert Strang). The
book is not completely compatible with our syllabus. But some of the
most essential topics are common. Chapter 13 in Strang's book closely
matches Chapter 14 in our textbook. Chapter 14 in Strang's book and
Chapter 15 in our textbook are along the same lines, though what we
will cover is more comprehensive. Chapter 11 in Strang's book is a more
general version of what are going to see about vectors, lines and
planes in 3D (sections 12.1-5 in our textbook).
- Al Shenk's Website Prof. Shenk taught Calculus classes for many years at UCSD. On his website there are exercises with step-by-step solutions.
| - Visualization Software : It
is a good idea to use computers to plot graphs in 3D space, whether
the graph is a surface or a curve. Calculators may not do as good of a
job as computers when you need to visualize in 3D. If you cannot figure
out the usage of any software below, please let me know.
- Grapher If
you have access to an Apple computer, the software grapher comes for
free to plot surfaces, curves; even the parametric ones.
- Surface Explorer 3D
If you have access to a PC, surface explorer 3D is a free software
running under Windows to plot surfaces and curves. (also parametric
curves and surfaces)
- Plot3D
This is another free software for Windows to plot graphs in 3D. Surface
explorer 3D is a more general purpose tool, but Plot3D may be easier to
use.
- FooPlot
This is a web-based software to plot 2D and 3D graphs that seems to
work fine with Windows. Its capabilities are limited. Its advantage is
it does not require installation.
- Virtual Math Museum On this site some of the common curves and surfaces
are illustrated. Most of them are advanced shapes, which we are not
going to see in our class. But our famous friend sphere and the
cycloid from section 10.1-example 7 in our textbook (though I am not
sure how much time we will have for cycloids) occupy spots in this
museum. This site is listed here to have some fun. We all need a break
after working so hard.
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