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Course Criteria
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1.00 - 3.00 Credits
Students who have demonstrated superior achievement in mathematics may enroll for independent study under the supervision of a consenting instructor. Prerequisite: Department chair approval.
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3.00 Credits
This course is a course in geometry for teachers. Students will examine middle school and high school geometry topics from an advanced perspective. Topics included are congruence, distance and similarity, trigonometry, area and volume, and axiomatic and Euclidean geometry. Prerequisites: MA 171, 172, 291, or permission of instructor. Courses numbered MA 350 or higher (with the exception of MA 372) are offered on a two-year cycle. Consult the department for further details regarding the scheduling of these courses.
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3.00 Credits
This course introduces students to mathematical techniques beyond those covered in MA 271 that are of fundamental importance in the physical sciences. Topics covered include the gradient, divergence, curl and del operators; line, surface, and volume integrals; and Fourier series. Prerequisite: MA 271 with a grade of C or better. (Cross-listed as PC 359.)
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3.00 Credits
This course will study how different geometric systems arise as a consequence of choosing different systems of axioms, especially the axiom systems leading to Euclidean geometry and hyperbolic geometry. Prerequisite: MA 291 with a grade of C or better.
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3.00 Credits
This is a course in ordinary differential equations. Topics will include first order equations, equations and systems with constant coefficients, undetermined coefficients, variations of parameters, and applications. Prerequisite: MA 281 with a grade of C or better.
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3.00 Credits
This is an advanced algebra course that includes algebraic structures with groups, fields, and rings and their applications. Prerequisite: MA 281 and 291, both with a grade of C or better.
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3.00 Credits
This is a course in probability that will include the following topics: sample spaces, axioms and elementary theorems of probability, conditional probability and independence, random variables, probability distributions, expectation, multivariate distributions, and limit theorems. Prerequisite: MA 291 with a grade of C or better.
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3.00 Credits
This is an advanced statistics course covering estimation, testing hypotheses, regression and correlation, linear models, and the design of experiments. Prerequisites: MA 321 or 385; and one of the following: MA 153 or 172 (both with a grade of C or better) or permission of the instructor.
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3.00 Credits
This is an advanced course in calculus including limits, continuity, differentiability, integrability, and infinite series, with emphasis on precise definitions and proofs of theorems. Prerequisite: MA 271 and 291, both with a grade of C or better.
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3.00 Credits
This is an advanced course in the study of complex-valued functions of a complex variable, and it covers the arithmetic of complex numbers, the definition of specific functions, the differentiation and integration of such functions, series, residues and poles, and mappings of the complex plane into itself. Prerequisites: MA 271 and MA 291, both with a grade of C or better.
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