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Course Criteria
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3.00 Credits
Classical treatment of the basic concepts of calculus: limits, continuity, differentiation, Riemann integration, sequences and series of numbers and functions. Prerequisites: Mathematics 255 and 300 with minimum grades of C.
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3.00 Credits
Theoretical investigation of real sequences, functions, limits, and continuity. Prerequisites: MATH 2450, MATH 2550 and MATH 3000 with minimum grades of C or department head approval.
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3.00 Credits
Examination of central ideas, major developments, and important issues in mathematics from ancient times to the present. Historical overview of the evolution of the discipline through comparative examination of specific theories and results.
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3.00 Credits
Mathematical theory of interest with applications, including accumulated and present value factors, annuities, yield rates, amortization schedules and sinking funds, depreciation, bonds and related securities. Recommended for students planning to take actuarial exams. Prerequisites: Mathematics 161 with a minimum grade of C, or approval of the Mathematics Department Head.
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3.00 Credits
Deficiencies in Euclidean geometry, Euclid’s parallel postulate, introduction to non-Euclidean geometry, consistency and validity of non-Euclidean geometry, incidence geometries, affine geometries, linear, planar, and spatial order properties.
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3.00 Credits
An overview of graph theory and its applications including trees, planar graphs and graphical invariants such as domination, coloring, and matchings. Prerequisites: Mathematics 300 with a minimum grade of C.
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3.00 Credits
Introductory set theory, topologies and topological spaces, continuous mappings, compactness, connectedness, separation axioms and metric spaces.
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3.00 Credits
Introduction to the theory of probability and its applications, counting techniques, sample spaces, random variables and their distributions, mathematical expectation, moment generating functions, binomial, Poisson, and normal distributions, Central Limit Theorem. Prerequisite: Mathematics 255 with a minimum grade of C.
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3.00 Credits
A continuation of Math 407 with an introduction to the theories of point and interval estimation, hypothesis testing, regression and correlation analysis, goodness of fit, chi-square, t and F distributions. Prerequisite: Mathematics 407 with a minimum grade of C.
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3.00 Credits
Divisibility, primes, congruencies, Fermat's Theorem, number theoretic functions, primitive roots and indices, the quadratic reciprocity law. Prerequisite: Mathematics 300 with a minimum grade of C.
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