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Math at ESG - Spring 2004
The Fall
2003 subject listings are still somewhere.
ESG Math Staff, Spring 2004:
ESG offers the first-year MIT mathematics subjects, with most of the variations.
One of ESG's emphases is on individualized instruction, and often this is reflected
in students' interest in our Independent
Study options in 18.02 and 18.03.
Typically, ESG does not offer the first-term math subjects (18.01 and its
variations) in the Spring term. For more information regarding atypical situations,
contact Dr. Jeremy Orloff.
In the following list, the subject numbers in parentheses are links to MIT's
online catalogue; ESG has the same criteria in place for determining which
subject is appropriate. For the Independent Study options, where the subject
material is online, links are given to those home pages, but anyone looking
at these pages should know that the material is being revised over IAP. Still,
you will get an idea of what to expect.
Questions? Contact Dr. Jeremy Orloff
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Calculus
Not offered in the Spring (18.01) This is the "standard'' version of single-variable calculus, for those who have had little or no previous exposure to calculus, and so are ready to begin a fascinating subject.
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Calculus - Independent Study
Not offered in the Spring
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Calculus with Theory
Not
offered in the Spring (18.014)
-
The ``standard''
multivariable calculus, an interesting and essential
subject. At ESG, we offer several different variations of 18.02 (but NOT 18.022,
and 18.024 only in the Spring, and only with sufficient interest).
A very good
background in single-variable calculus is assumed;
students who are not confident of their 18.01-level preparation sometimes
find that
a review
of some of
the 18.01IS units is in order.
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Calculus
Independent Study (18.02), known at ESG
as "18.02IS"'. There are two versions of this
option, depending on the text used (details upon request).
The material
is online at 18.02IS - Simmons or 18.02IS - E&P.
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Calculus with Applications (18.023)
A really
fun subject, but one which requires a very good background in single-variable
calculus, including series. The material for ESG's version of 18.023
is online at 18.023 - ESG.
18.023 is
only offered in the Spring by special arrangement; contact Craig Watkins if interested.
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Calculus of Several Variables with
Theory (18.024)
This course will be offered
at ESG only if there is sufficient interest. Look for an updated
web site soon. Until then, an older site, 18.024 at ESG - Spring 1998 might
be of use.
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Differential Equations (18.03)
A popular and
important subject. Take a look at those prerequisites;
indeed, some variation of 18.02 is a prerequisite. At ESG, we do not automatically
waive
this requirement;
those wishing to take 18.03 and 18.02 simultaneously
will have to make sure that they have the approval of their instructor.
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Differential Equations
Independent
Study (18.03) Known at ESG
as 18.03IS, this has proven to be quite successful and popular
over the years. 18.03IS requires use of Athena software to model
nonlinear
systems,
and perhaps even more, depending on the students' desire. The materials
are online at 18.03IS.
-
Linear Algebra (18.06)
Not
offered Spring 2004.
ESG has been a bit ahead of the rest of the Institute in terms of requiring the
use of Athena software for certain analytic and graphing purposes. The extent
to which students will take advantage of this aspect of ESG will depend on the
subject and instructor. To get a
taste of what we have done in the past, see Using Maple for ESG
Subjects. Shown here is an example of what we can do:
(see Animated Hyperboloids for
an explanation of what's going on).
Questions? Contact Craig Watkins.
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