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Course Criteria
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3.00 Credits
Studies antiderivatives, the definite integral, transcendental functions, techniques and applications of integration, an introduction to improper integrals. The second of a four-part sequence. Prereq: MATH 220
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3.00 Credits
Treats topics from the mathematical theory of compound interest. Problems dealing with annuities, amortized schedules, sinking funds, and bonds will be analyzed. Prereq: MATH 320
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3.00 Credits
Studies infinite series, plane curves, polar coordinates, vectors, vector-valued functions, and analytic geometry in three-dimensional space. The third of a four-part sequence. Prereq: MATH 320
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3.00 Credits
Examines probability laws, discrete and continuous random variables and their probability distributions, expectation, moments and moment generating functions, sequences of random variables, and Markov chains. Prereq: MATH 330
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3.00 Credits
Examines functions of random variables, sampling distribution, limit theorems, estimation, hypotheses testing, linear regression, correlation, analysis of variance, and analysis of enumerative data. Prereq: MATH 331
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3.00 Credits
Investigates definitions and examples of graphs, graph isomorphism, paths and circuits, connectivity, trees, planar graphs, Euler's formula, graph coloring, four and five color theorems, and applications. Prereq: MATH 240 or MATH 261
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3.00 Credits
Studies geometries from an advanced standpoint. Some of the topics that may be covered are non-Euclidean geometry, geometry of the complex plane, affine geometry, or projective geometry. Prereq: MATH 240
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3.00 Credits
Introduces game theory terminology, zero-sum, two-person games, minimax theorem, optimal mixed strategies, and applications to economics. Prereq: MATH 261
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3.00 Credits
Introduces the basic concepts of number theory: the Euclidean algorithm, primes, divisibility theorems, Mersenne and Fermat numbers, linear Diophantine equations, congruences, unique factorization, and quadratic reciprocity. Prereq: MATH 261
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3.00 Credits
Introduces the study of algebraic structures with a detailed examination of groups; their properties, isomorphic and homomorphic mappings. Cyclic, symmetric, and quotient groups; groups of permutations and cosets. Normal subgroups. The Fundamental Homomorphism Theory. Prereq: MATH 261
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