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Course Criteria
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3.00 Credits
Solving linear systems, matrix algebra, vector spaces and linear transformations, eigenvectors, orthogonality. Offered in alternate years. Prerequisite: MATH 130.
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3.00 Credits
A survey of mathematical ideas and discoveries in their historical context. The course combines mathematics (proofs and problems) with readings on its development. Offered in alternate years. Prerequisite: MATH 130 or consent of instructor.
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3.00 Credits
Fundamentals of set theory, logic, and functions. Emphasis is on developing the students' theorem-proving skills, independent work, written and oral communication skills, and ability to critique others? ?work . Prerequisite: MATH 140 and completion of or concurrent enrollment in MATH 240.
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3.00 Credits
Theory of probability and mathematical statistics including an introduction to basic concepts of probability theory, discrete and continuous random variables, distribution theory, moment-generating functions, and the Central Limit Theorem. Other topics may include the theory of statistical inference, point estimation, confidence intervals, regression, hypothesis testing, and analysis of variance. Offered in alternate years. Prerequisite: MATH 140.
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3.00 Credits
Introduction to classical algebraic systems and their morphisms. Topics include groups, rings, fields, substructures, ideals, homomorphisms, and quotients. Offered in alternate years. Prerequisite: MATH 290.
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3.00 Credits
Continues the ideas of counting, graph theory, and algorithms from Mathematics 240. Topics may include Ramsey Theory, designs, coding theory, generating functions, and optimization. Offered in alternate years. Prerequisite: MATH 240.
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3.00 Credits
A rigorous study of the structure of the real line and the properties of real-valued functions. Topics include sequences, limits, continuity, differentiabililty, and integrability. Offered in alternate years. Prerequisite: MATH 290.
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3.00 Credits
Algebraic topics that extend the fundamental ideas in MATH 320 will be presented. Offered in alternate years. Prerequisite: MATH 320.
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3.00 Credits
Analytic topics that extend the fundamental ideas in Mathematics 350 will be presented. Offered in alternate years. Prerequisite: MATH 350.
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3.00 Credits
Faculty-student seminar. Content will vary according to the interests of the participants and instructor. Past offerings include Great Theorems in Mathematics and Their Proofs, Dynamical Systems, Number Theory, Topology, Wavelets and Wavelet Transforms, Complex Variables, and Introduction to Category Theory. Prerequisite: consent of instructor.
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