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Course Criteria
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3.00 Credits
Topics include sample spaces, elementary theorems of probability, permutations and combinations, random variables, discrete and continuous distributions and density functions, mathematical expectation, and moment generating functions of probability distributions. Prerequisite: MATH 2111
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3.00 Credits
Topics include sets, prepositional calculus, truth tables, predicate calculus, universal and existential quantifiers, proofs about sets, basic methods of proof, mathematical induction, relations and functions, and cardinality. Prerequisite: MATH 2121
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4.00 Credits
Topics include differential equations of the first order and first degree, linear equations, variation of parameters, method of undetermined coefficients, inverse operators, Laplace transforms, systems of differential equations, and applications. Prerequisite: MATH 2111
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3.00 Credits
A course designed to give a modern view of geometry, including advanced treatment of standard topics in Euclidean geometry, as well as the study of non-Euclidean systems. Prerequisite: MATH 2111
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3.00 Credits
Topics include solving of linear equations, Gauss-Seidel and Jacobi methods, error analysis, approximating functions by infinite series, iteration techniques, techniques of integration, to include trapezoidal and Simpson's rules. Prerequisites: MATH 2111 and CSCI 1302
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4.00 Credits
Basics of sequences and rates of growth, counting methods, graph theory and graph algorithms, linear algebra, linear programming, and combinatorial optimization. ( 3-2-4))
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3.00 Credits
An introduction to groups, subgroups, homomorphisms, isomorphisms, cyclic groups, permutation groups, direct products, Abelian groups, and Sylow's theorem. Prerequisite: MATH 3211
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3.00 Credits
A course exploring the theory of rings, fields, integral domains, and vector spaces. Prerequisite: MATH 4101
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3.00 Credits
Topics include sets and functions, the real number system, elementary topology of the real line, limits of sequence, space of continuous functions, differentiation, and Riemann integration. Prerequisites: MATH 2121 and 3211
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3.00 Credits
A course presenting further topics in integration, Stokes theorem, Gauss divergence theorem, infinite series, sequences and series of functions, functions of several variables, and basic measure theory. Prerequisite: MATH 4201
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