Calculus 222 Instructors guide F. Waleffe, Spring 2001
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Calculus 222 Instructor’s guide. F. Waleffe, Spring 2001. TEXTBOOK: Calculus and Analytic Geometry by Thomas and Finney, 5th Ed. …
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Calculus 222 Instructor’s guide
F. Wale e, Spring 2001
TEXTBOOK: Calculus and Analytic Geometry by Thomas and Finney, 5th Ed.
Calculus 222 is a challenging course but it contains many classical calculus topics and can be fun
to teach. For the students, it has the reputation of being the most dicult course in the Calculus
sequence. The diculty comes from the fact that it typically contains an eclectic collection of
topics in between single variable and multi-variable calculus. Di erential equations were added a
few years ago at the request of the School of Engineering. Most engineering students must take the
calculus sequence but are not required to take 319, although di erential equations are important in
engineering.
I. Techniques of Integration: Substitution, integration by parts, partial fractions, Maple.
7.2,3,4 are really about substitution but involve a lot of trigonometry. Emphasize those two
distinct aspects. It is a good idea to have an early quiz (e.g. rst discussion) on sections 2-9,10 to
refresh the trigonometry so it does not get in the way of substitution. Example 5 in 7-2 is better
done by partial fractions in…
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