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Course Criteria
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3.00 Credits
A course that examines Euclidean geometry from an advanced perspective. Planar and solid geometry is examined as presented in both Euclid's Elements and modern notation. Emphasis is also placed on the applications of Euclidean geometry within the study of mathematics and across the arts and sciences. Second semester.
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3.00 Credits
An extension and maturing of the concepts of Euclidean geometry along with an introduction to topology; finite, non-Euclidean and projective geometry; and Euclid's fifth postulate. Either semester.
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3.00 Credits
A course including an introduction to probability, measures of central tendency, measures of dispersion, the normal distribution and statistical inference. Either semester.
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4.00 Credits
A development of limits, the derivative and its applications, as well as integration and applications of the definite integral. Second semester.
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4.00 Credits
Application of the derivative and integral to logarithmic, exponential, inverse trigonometric and hyperbolic functions; improper integrals, polar coordinates, parametric equations and vectors. First semester.
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3.00 Credits
The third in a three-course sequence in calculus that includes differentiation and integration of functions of many variables, and application of calculus to vectors, polar coordinates, and conic sections. Second semester. Offered alternate years.
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3.00 Credits
A study of systems of linear equations, matrix algebra, determinants, vector geometry, vector spaces and linear transformations. Either semester. Offered alternate years.
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3.00 Credits
A course that includes a study of logic, sets, functions, algorithms, the integers, matrices, mathematical reasoning, counting techniques, relations and graph theory. First semester. Offered alternate years.
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3.00 Credits
A study of the divisibility of integers, prime numbers, numerical functions, the algebra of congruence classes, quadratic residues and quadratic reciprocity. Either semester. Offered alternate years.
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3.00 Credits
A course consisting of the following topics: combinatorics, graph network theory, iterations and recursion, relations and functions, logic, mathematical modeling, and introductory number theory including structural theories of the sets of natural, integer, rational, real and complex numbers. Other topics may be determined by the instructor for special exploration. Either semester. Offered alternate years.
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