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106 LOV
MWF
11:15-12:05
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Advanced Calculus I
MAA 4226/5306 Fall 2004
http://www.math.fsu.edu/~bowers/MAA4226/
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106 LOV
MWF
11:15-12:05
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instructor
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Philip L. Bowers
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contact me
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118 Love Building; 644-2889 (office); 644-2202 (front desk)
email: bowers@math.fsu.edu; webpage: http://www.math.fsu.edu/~bowers/
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office hours
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I am available to help students from 10:10-11:00 MWF, 2:00-3:00 R, and by
appointment, and anytime I am in my office.
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eligibility
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Undergraduates must have completed successfully MAC 2313 Calculus
III and MAS 3105 Applied Linear Algebra I. In addition, the successful
completion of either MGF 3301 Introduction to Advanced Mathematics or a
4000-level mathematics course is both recommended and highly
desirable. There are two introductory advanced calculus
courses 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.
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homework
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Assignments, updated perodically, are listed here. See also the
Blackboard page.
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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
rigorous 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
results precisely. These topics include: euclidean space topology,
numerical sequences and series, and continuity of functions. Advanced
Calculus II will cover 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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honor code
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A copy of the University Academic Honor Code can be found in the
current Student Handbook. You are bound by this in all of your
academic work. It is based on the premise that each student has the
responsibility 1) to uphold the highest standards of academic
integrity in the student's own work, 2) to refuse to tolerate
violations of academic integrity in the University community, and 3)
to foster a high sense of integrity and social responsibility on the
part of the University community. You have successfully completed
many mathematics courses and know that on a ``test'' you may not give
or receive any help from a person or from written material except as
specifically designated acceptable. Out of class you are encouraged to
work together on assignments, but plagiarizing the work of others
is academically dishonest.
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ada statement
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Students with disabilities needing academic accommodations should:
1) register with and provide documentation to the Student Disability
Resource Center (SDRC); 2) bring a letter to the instructor from
SDRC indicating you need academic accommodations. This should be done
within the first week of class.
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