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Course Criteria
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3.00 Credits
Prerequisite: MATH 201. Systems of linear equations, vector spaces, linear dependence, bases, dimensions, linear mappings, matrices, determinants, applications. Offered yearly.
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3.00 Credits
Prerequisite or corequisite: MATH 201. An examination of the introductory concepts which pervade most upper level mathematics courses with an emphasis on proving techniques. Topics include logic and proving, sets, functions, cardinality and the properties of integers.
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5.00 Credits
Prerequisite: MATH 201. Three-dimensional analytic geometry. Calculus of several variables. Multiple integration. Line and surface integrals. (3-2)
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3.00 Credits
Prerequisites: MATH 203 and 204. A theoretical treatment of groups. Topics normally include: equivalence relations, permutations, symmetry groups, group homomorphisms and isomorphisms, Cayley's Theorem, cosets, Lagrange's Theorem, normal subgroups, factor groups and the isomorphism theorems. Additional topics may include groups actions and an introduction to rings and fields. Offered each fall.
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3.00 Credits
Prerequisite: MATH 303. Common types of ordinary differential equations, especially of the first and second order. Problems which lead to differential equations and the standard methods of their solution. Yearly.
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3.00 Credits
Prerequisite: MATH 201. An introduction to the mathematics of discrete objects. Topics includeL combinatorics, recurrence relations and the analysis of algorithms, and an introduction to graph theory. Every third year.
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3.00 Credits
Prerequisite: PHYS 105 and MATH 303 and 307. An introduction to basic mathematical methods and techniques used in the solution of physical problems with emphasis on applications rather than theory. Topics include solutions of differential equations, vector analysis, Laplace transforms, Fourier series, an introduction to methods of solving partial differential equations (same as PHYS 323 and ENGR 323).
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3.00 Credits
Prerequisite: MATH 303. A survey of fundamental properties of topological spaces with particular emphasis on the real number system. Connectedness, compactness, continuous mapping, homeomorphism, metric spaces. Alternate years.
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3.00 Credits
Prerequisite: MATH 303. A basic course in vectors. Topics included vector and scalar products, vector equations, and vector calculus. Applications from differential geometry and physics. Curvature, torsion, and Gaussian curvature. Alternate years.
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2.00 Credits
Prerequisite: Senior level standing as a mathematics major. An introduction to mathematical research, oriented about a field chosen by the instructor. Students will conduct group investigations into the field and give presentations throughout the semester.
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