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Course Criteria
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3.00 Credits
An introduction to the calculus of analytic functions. The principal topics are complex arithmetic, elementary functions of a complex variable, analyticity, contour integrals, Cauchy's theorem and its applications, and power series. Prerequisite: MATH 220. Offered alternate years. Three hours. Staff.
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3.00 Credits
A course intended to introduce students to the concepts of truth, proof, and computability. Major topics of this course include the completeness theorem for first order logic, which shows that the concept of provability (from axioms) can be established; the G?del incompleteness theorem, which shows there is an inherent gap between what is true (about the whole numbers, for example) and what can be proved about an axiomatic system; and the insolvability of the halting problem, which shows that computers can not do everything. Prerequisites: MATH 120 and 220, or consent of the instructor. Offered as needed. Three hours. Mr. B. Torrence.
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3.00 Credits
An introduction to combinatorial theory, sample spaces, random variables, and mathematical expectation and probability distributions including their properties for the discrete and continuous case. Prerequisite: MATH 203 (or concurrently). Offered alternate years. Three hours. Mr. Sutton.
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3.00 Credits
Mathematical foundations of statistical theory and practice. Sampling theory, point and interval estimation, tests of hypotheses, regression and correlation, analysis of variance. Successful completion of this sequence should provide sufficient background in mathematical statistics and statistical methodology for graduate courses in statistics and graduate courses in the social, biological, and medical sciences or in any discipline which uses statistics as an explanatory tool. Prerequisite: MATH 371. Offered alternate years. Three hours. Mr. Sutton.
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3.00 Credits
An independent exploration of a specialized area in mathematics under the guidance of a member of the department. Prerequisites: permission of the instructor, a cumulative GPA of 3.25 or greater, and approval of the curriculum committee. Three hours each. Staff.
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3.00 Credits
This course serves to present mathematics and the mathematician in a variety of contexts. Students will read selections from current mathematical literature. Lectures given by students and guest speakers will present mathematical ideas and lead to discussions. Students will gain experience making presentations, and critiquing mathematical arguments presented by others. Prerequisites: MATH 220 and Senior status. One hour. Staff.
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3.00 Credits
A first course in the theory of functions of real variables. Topics include axiomatic description of the real number system, topology of Euclidean and metric spaces, limits and continuity, and differentiation. Students are expected not only to learn the material presented but also to construct proofs independently. Prerequisite: MATH 220. Three hours. Staff.
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3.00 Credits
A continuation of MATH 421. Topics include sequences and series of functions. Riemann-Stieltjes and Lebesgue integration. Prerequisite: MATH 421. Offered as needed. Three hours. Staff.
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3.00 Credits
The axiomatic method will be used to develop a geometric system. Topics will be chosen from Euclidean geometry, plane hyperbolic geometry, and real projective geometry. This course is of particular value to students who anticipate entering secondary teaching. Prerequisite: MATH 203. Offered alternate years. Three hours. Ms. E. Torrence.
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3.00 Credits
The mathematical foundations of scientific computing. Numerical methods for the approximation of roots of equations, integrals, and solutions of differential equations. Also included are interpolation and error estimation. Prerequisite: MATH 220. Computer intensive. Offered alternate years. Three hours. Mr. Sutton.
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