MAS 3300
Numbers and Polynomials
- Credits:
3
Prerequisites:-
grade of C or better in a UF math course; this requirement is waived for transfer students with junior standing.
Catalog Description:-
This course emphasizes theorems and proofs. Topics include algebraic and order properties of the real numbers, introduction to number theory, rational numbers and their decimal expansions, uncountability of the real numbers, complex numbers, irreducible polynomials over the integral, rational, real and complex numbers, elementary theory of equations. Taking one (but not both) of MAS 3300 and MHF 3202 is required of mathematics majors. MAS 3300 is also particularly useful for prospective secondary-school mathematics teachers. (M) (MR)
Content: -
MAS 3300 is an introduction to formal mathematics. The emphasis
in this course is not on learning facts, but on writing clear
and rigorous proofs.
The course provides the opportunity to examine in detail
the structure of number systems and polynomials over these
number systems, and to learn the careful art of mathematical
reasoning.
The student is expected to work through the notes, proving
the theorems (proofs aren't in the notes) and working
the exercises.
The course is designed for mathematics majors
and others interested in making the transition from
techniques courses (e.g. calculus) to conceptual mathematics
and algorithmic computer science. It is especially useful
for prospective high school teachers.
Offered: -
Fall, Spring and Summer A
Text: -
Numbers and Polynomials, Notes for
a course, Third edition, K. Sigmon, Math. Dept., copyright 1999,
with a comb binding
Available at University Copy Center, 1620 University Avenue,
Gainesville, FL 32603.
Available
in pdf format:
Numbers and Polynomials
You can get a
free viewer for PDF files for personal use.
Recent Teachers:-
Alladi,
Berkovich,
Bona,
Chui,
Drake,
Garvan,
Keating,
King,
Larson,
Martinez,
Robinson,
Summers,
White,
and Yesilyurt.
Not offered this semester.
University of Florida *
Mathematics *
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