## Math 192, section 3, fall semester, 1996

Math 192 is second semester honors calculus. Its students have usually
been self-selected from entering first-year students who have taken an
AB calculus course in high school and gotten a 4 or 5 on the AB
advanced placement exam. Most of the students in Math 192 have been
students in the engineering honors track, together with a few high
school students. The course has been viewed as a version of Math 152
with slightly more rigorous discussions in class, and with harder
homework problems and test questions.
Here is substantially all of the material handed out to students
in this section of Math 192.
This year in section 3 the students were all first-year engineering
students. I generally tried to follow the syllabus which was used in
Math 152 in the spring, 1996, semester. The course also reflected the
changes which were made last year in Math 152. The course had a
somewhat different atmosphere from Math 152 because the class was
small and the students had chosen a more challenging experience. The
lectures were different. For example, a more thorough discussion of
why the sum of a convergent power series was continuous was offered,
an extended exposition of the volume of the unit ball in any finite
dimension was given, and a derivation of the error estimate in the
trapezoid rule was shown. All students in this rather small class gave
oral presentations of workshop problems (please see the discussion
of our changes in Math 151-152 for more on workshop problems).

Here are the two in-class exams
(with solutions) which were given in the course, together with the
final exam. We also show the
more extended problems (many
of which were taken from the Math 152 problem sets) asked of
students. Most of the solutions were to be presented in written form
with suitable exposition, but some were given orally. There's also
some other material on volumes of
balls and on sums of certain
series which was handed out to students. The class made a one
period (80 minutes)"field trip" to a computer lab where **Maple**
was introduced using material
shown here.

Review problems were handed out before each exam. The sets of
these problems were the exams given in Math 152 during the spring,
1996, semester. See the
Math 152 web site for these, please.

Please send mail to
Stephen Greenfield if you have questions or comments about this
material or if you use some of it in a course. An acknowledgment that
the source of the material is the Rutgers Mathematics Department would
be appreciated.

Course material in GIF format
Course material in Postscript format

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