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ACADEMIC PROGRAMS
Birmingham-Southern College Catalog 2015-2016
MA 451 Abstract Algebra (1
)
Topics include binary operations, groups, subgroups, group
homomorphisms, factor groups, and a brief introduction to rings and
fields. Prerequisite: MA 335.
MA 454 Numerical Analysis (1)
An introduction to numerical methods of solution and their analysis.
Topics include computer arithmetic, propagation of error, systems of
linear and non-linear equations, numerical integration, curve fitting, and
differential equations. Prerequisite: MA 310.
MA 455 Introduction to Topology (1)
An introduction to the topology of Euclidean space and/or surfaces. Topics
include continuity, compactness, cell complexes, and the classification
of surfaces. Applications include fixed-point theorems, the Jordan curve
theorem, and map colorings. Prerequisites: MA 310 and MA 335.
MA 458 Introduction to Complex Analysis (1)
Complex numbers, analytic functions, Cauchy-Riemann equations, curves
and integrals, Cauchy’s Theorem and applications, Taylor and Laurent
series, analytic continuation, Residue Theorem, harmonic functions, and
conformal mappings. Prerequisites: MA 310 and MA 335.
MA 461 Real Analysis (1)
A rigorous treatment of sequences, limits, continuity, differentiation,
infinite series, sequences and series of functions, uniform convergence and
its implications for function series. Prerequisites: MA 310 and MA 335.
MA 470 Research Seminar in Mathematics (1)
A seminar in reading and presenting advanced mathematics in preparation
for proposing an independent research topic. Each student will read and
present articles of interest to the class, building both a mathematical
foundation upon which a research proposal can be written, and developing
the skills for presenting quantitative work. Toward the end of the term, each
student will write, revise and defend a proposal for independent research.
Instructor consent required. Prerequisites: MA 335 and senior standing.
Fall.
MA 499 Senior Project in Mathematics (1)
An independent research project in mathematics where students investigate
a topic proposed in MA 470. Students work closely with a supervising
faculty member, formally write up their results, and present their research
to the campus community for their senior conference. Students may also