This is an honors version of Math
114. It will cover the material in greater depth than that course,
with more challenging problems and more attention to definitions and to the
reasons behind the results. Like Math 114, the course assumes familiarity with
the material in Math
103 and Math 104.
Math 116 is followed by Math 260, an honors version of Math
240.
The precise sequence of topics within each semester will differ somewhat between
the Math 114-240 sequence and the Math 116-260 sequence; but over the course
of the two semesters, the honors sequence will cover the usual material and
more. Students who wish to take further mathematics courses beyond Math 116
and 260 will be prepared to take either of two sequences in analysis/advanced
calculus (Math 360-361 or Math 508-509), and either of two sequences in abstract
and linear algebra (Math 370-371 or Math 502-503).
Textbook:
Tom Apostol, Calculus, volume I, second edition. On
reserve at MPA library, DRL 3N1.
Contents of course:
Foundations of Calculus: rigorous review of the real and complex numbers, limits and continuity, differentiation and integration
Learning Resource Center,
offered by the Weingarten Learning Resources Center, in Stouffer
Commons, Suite 300, 3702 Spruce Street, Philadelphia PA 19104,
tel: (215) 573-9235.