Fall 2000
MAA 4226/5306
MWF 10:10-11:00
200 Love Bldg
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Advanced Calculus
http://www.mathh.fsu.edu/~bowers/MAA4226/
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Spring 2001
MAA 4227/5307
MWF 10:10-11:00
200 Love Bldg
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eligibility
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Undergraduates must have completed successfully MAC 2313 Calculus
III, MAS 3105 Applied Linear Algebra I, and MGF 3301 Introduction to
Advanced Mathematics. There are two introductory advanced calculus
courses on the books available for undergraduates, MAA 4224 and MAA 4226.
MAA 4224 is a gentler introduction to the topics of advanced calculus that
is open only to undergraduates. MAA 4226/5306 is open to both
undergraduate and graduate students, and assumes a higher level of
mathematical maturity than MAA 4224. The student is expected to be
comfortable with proofs and to have significant time in their schedule for
thinking about and ``doing'' mathematics. The second semester continues
the material of the first.
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text
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Principles of Mathematical Analysis, Third Edition, by
Walter Rudin.
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content
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Chapters 1-4 for Fall and 5-8 for Spring.
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homework
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Assignments, updated periodically, are listed here.
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objectives
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This course develops the calculus of real and complex valued functions in
depth. The emphasis throughout is on careful argument and proof. After
clearly stating the properties of real numbers that we accept as given, we
develop in detail the basic topics of mathematical analysis, proving all
claimed results precisely. These topics include: euclidean space topology,
numerical sequences and series, continuity of functions, differentiation
of functions, integration theory, uniform convergence, and special
functions. This Advanced Calculus sequence serves as a pillar of
mathematics at the undergraduate level, preparing one for advanced course
work at the graduate level.
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attendance
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I strongly advise you to attend class regularly. A student absent from
class bears the full responsibility for all subject matter and
procedural information discussed in class.
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courtesy
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Generally, I expect you to get to class on time and not to leave class
until I have dismissed it. If you must leave class early, please let
me know before class begins.
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grading
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Your grade in the course will be based on your performance on written
homework assignments, a
mid-term, and a written comprehensive final, with equal weight given to
these three items.
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Visit my mathematics page.