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Course Criteria
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3.00 Credits
Solution methods for a variety of differential and difference equations are presented. Included are first and higher order differential and difference equations and discrete dynamical systems, and systems of differential and difference equations. The course uses a problem-based approach with emphasis on modeling. Computational technology facilitates exploration of analytical, graphical, and numerical solution methodologies. Prerequisite: MATH 231. (Same course offered as CSAC 335). Offered spring semester of even years.
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3.00 Credits
A study of the historical developments in mathematics including the contributions of underrepresented groups and diverse cultures. Topics include: development of arithmetic, algebra, geometry, trigonometry, calculus, number theory, probability, statistics, and discrete mathematics. This course is required for those planning to be secondary school teachers and may be taken by others. Prerequisite: 225 or 230. Offered spring semester.
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3.00 Credits
An introduction to enumerative combinatorics. Topics include permutations, combinations, Stirling numbers, integer partitions, distribution problems, combinatorial proof, recurrence relations, generating functions, Fibonacci numbers, rook theory, and the principle of inclusion-exclusion. Prerequisites: 225 or 230 and 251 or 252. Offered fall semester in even years.
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3.00 Credits
A study of the concepts of limits, continuity, differentiability, integrability, infinite series and power series. Prerequisites: 231 and 252. Offered fall semester in odd years when there is sufficient demand.
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3.00 Credits
Students explore the solution methodology of problems in computational science with an emphasis on numerical techniques. Topics include error analysis, numerical integration and differentiation, FFTs, solutions of linear systems, and numerical solutions of ODEs. Prerequisites: CSAC 245/CS 245, MATH 231. Recommended: CSAC 335/MATH 335. (Same course offered as CSAC 435.) Offered spring semester in odd years.
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3.00 Credits
A study of complex series and sequences, limits and continuity, Cauchy-Riemann equations, conformal mapping, residues and contour integration. Prerequisites: 252 and 330. Offered fall semester in even years when there is sufficient demand.
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1.00 Credits
Oral presentations and written reports by students on topics not covered in the curriculum; presentations by students doing research; lectures by visiting professionals and the faculty. Open only to junior and senior mathematics majors or by special permission. This course is repeatable for up to 4 credits.
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1.00 - 3.00 Credits
Intended for those students who wish to study an area of mathematics not offered in a regular course. Prior approval by the supervising professor must be secured before registration.
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1.00 - 3.00 Credits
Group Studies
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3.00 Credits
Selected Topics
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