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Course Criteria
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3.00 Credits
It is required to have a written proposal accepted by the research advisor and the department head. This course offers a mathematics junior an opportunity to complete research in an area of current interest and importance in mathematics in collaboration with a research advisor. A formal paper is required in this course. Although it is a 300-level course, this course is not approved as a departmental elective. It may be used to fulfill a general elective. This course satisfies the ROTCfulfillment requirement.
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3.00 Credits
A two-semester sequence in real analysis. Topics include sets, functions, properties of the ordered field of real numbers, topology of the reals, sequences and series, continuity, differentiation, integration, and sequences and series of functions.
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3.00 Credits
A two-semester sequence in real analysis. Topics include sets, functions, properties of the ordered field of real numbers, topology of the reals, sequences and series, continuity, differentiation, integration, and sequences and series of functions.
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3.00 Credits
Axioms of probability, combinatorial probability, random variables, distribution functions, law of large numbers, central limit theorem, estimation, maximum likelihood methods, hypothesis testing, confidence intervals, and non-parametric methods
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3.00 Credits
The Euclidean algorithm, prime and composite integers, elementary Dio- phantine equations, Pythagorean triples, Euler's phi-functions, congruencies, Euler-Fermat theorems, exponents and primitive roots, and quadratic residues.
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3.00 Credits
Students examine research-based models of teaching and learning in mathematics. Students also work in Professional Learning Communities (PLCs) within the class to model the ongoing professional development they will be expected to undertake throughout their careers. Topics include: constructing quality assessments, promoting mathematical discourse, thoughtful integration of technology, and issues of equity and access.
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3.00 Credits
Topics from complex function theory: complex differentiation and integration, Cauchy theorem, complex series and uniform convergence, harmonic functions.
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3.00 Credits
A formal introduction to the theory and applications of graphs. Topics include connectivity, trees, Eulerian graphs, Hamiltonian graphs, planarity, graph colorings, matchings, and domination.
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3.00 Credits
An introduction to the theory and practice of building and analyzing math- ematical models for real world situations encountered in the social, biological, and environmental sciences.
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3.00 Credits
Directed reading on assigned topics in mathematics. The course includes weekly conferences with the instructor and a formal paper. Since the content of the course may change, a student may repeat the course for credit with the consent of the department head.
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