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MATH 3201: Probability and Statistics I
3.00 Credits
Savannah State University
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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MATH 3211: Foundations of Higher Mathematics
3.00 Credits
Savannah State University
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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MATH 3301: Differential Equations
4.00 Credits
Savannah State University
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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MATH 3401: Modern Geometry
3.00 Credits
Savannah State University
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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MATH 3501: Numerical Analysis
3.00 Credits
Savannah State University
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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MATH 3602: Linear and Discrete Mathematics
4.00 Credits
Savannah State University
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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MATH 4101: Abstract Algebra I
3.00 Credits
Savannah State University
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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MATH 4111: Abstract Algebra II
3.00 Credits
Savannah State University
A course exploring the theory of rings, fields, integral domains, and vector spaces. Prerequisite: MATH 4101
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MATH 4201: Analysis I
3.00 Credits
Savannah State University
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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MATH 4211: Analysis II
3.00 Credits
Savannah State University
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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