2023-2024 BSC Catalog Updated_UG ONLY_FINAL[82]
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ACADEMIC PROGRAMS<br />
211<br />
MA 455 Introduction to Topology (1)<br />
An introduction to the topology of Euclidean space and surfaces. Topics include<br />
continuity, compactness, cell complexes, and the classification of surfaces. Applications<br />
include fixed-point theorems, the Jordan curve theorem, and map colorings.<br />
Prerequisites: MA 310 and MA 335.<br />
MA 458 Introduction to Complex Analysis (1)<br />
Complex numbers, analytic functions, Cauchy-Riemann equations, curves and integrals,<br />
Cauchy’s Theorem and applications, Taylor and Laurent series, analytic continuation,<br />
Residue Theorem, harmonic functions, and conformal mappings. Prerequisites: MA 310<br />
and MA 335.<br />
MA 461 Real Analysis (1)<br />
A rigorous treatment of sequences, limits, continuity, differentiation, infinite series,<br />
sequences and series of functions, uniform convergence and its implications for function<br />
series. Prerequisites: MA 310 and MA 335.<br />
MA 470 Research Seminar in Mathematics (1)<br />
A seminar in reading and presenting advanced mathematics in preparation for proposing<br />
an independent research topic. Each student will read and present articles of interest to<br />
the class, building both a mathematical foundation upon which a research proposal can be<br />
written, and developing the skills for presenting quantitative work. Toward the end of the<br />
term, each student will write, revise and defend a proposal for independent research. This<br />
course should be taken by mathematics majors in the fall of their senior year.<br />
Prerequisite: MA 335. Fall.<br />
MA 472 EL Mathematical Problem Solving in Business, Industry and Government<br />
II (1)<br />
An independent research project in applied mathematics where students investigate a<br />
problem supplied by a partner from business, industry, or government (BIG). Students<br />
work closely with a supervising faculty member, provide periodic progress reports to<br />
their BIG liaison, and present their results formally in writing and in a video. Students<br />
must also present their research to the campus community for their senior conference<br />
project, and possibly at a regional or national mathematics conference. An Experiential<br />
Learning designated course. Prerequisite: MA 470.<br />
MA 499 Senior Project in Mathematics (1)<br />
An independent research project in mathematics where students investigate a topic<br />
proposed in MA 470. Students work closely with a supervising faculty member, formally<br />
write up their results, and present their research to the campus community for their senior<br />
conference. Students may also be required to present their work at a regional mathematics<br />
conference. Prerequisite: MA 470. Exploration term.<br />
Birmingham-Southern College <strong>Catalog</strong> <strong>2023</strong>-<strong>2024</strong>