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MAT 390: Introduction to Operations Research
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisites: MAT 202 and MAT 270. Optimization of real-world problems modeled by linear objective functions subject to systems of linear inequalities and solved by either the two-phase revised simplex method of by the network simplex method. Mathematics behind these methods. Applications in diverse areas such as business management, industry, economics, finance, game theory, geometry, and networks.
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MAT 390 - Introduction to Operations Research
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MAT 401: Introduction to Turing Machines And Abstract Computability
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisites: MAT 270 and either MAT 301 or MAT 351. Introduction to topics in finite automata and Turing machines, including universal Turing machines and abstract computability.
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MAT 401 - Introduction to Turing Machines And Abstract Computability
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MAT 404: Applications of Linear Algebra
3.00 Credits
Buffalo State SUNY
3, 3/3 Prerequisites: MAT 202, MAT 263, and MAT 264. Eigenvalue problems; diagonalizing matrices; linear programming; simplex method; applications to areas such as business, industry, economics, social sciences, and behavioral sciences.
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MAT 404 - Applications of Linear Algebra
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MAT 411: Complex Variables
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisite: MAT 263. Complex numbers; analytic functions; elementary functions; contour integration; integral theorems; Taylor series; Laurent series; uniform convergence; calculus of residues; mappings and applications.
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MAT 411 - Complex Variables
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MAT 417: Introduction to Real Analysis I
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisite: MAT 263. Elementary real analysis, including properties and axioms of the real number system; relations and functions; sequences; continuity; differentiation; infinite series; power series; Riemann integral.
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MAT 417 - Introduction to Real Analysis I
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MAT 418: Introduction to Real Analysis II
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisite: MAT 417 or equivalent. Continuation of MAT 417 with topics chosen from: Riemann-Stieltjes integration; improper integrals; infinite series; series of functions; partial differentiation; Jacobians; implicit function; multiple integrals; Fubini's Theorem.
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MAT 418 - Introduction to Real Analysis II
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MAT 431: Mathematical Logic
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisites: MAT 270 and MAT 202. Validity, deductibility, and completeness in propositional and predicate logics; first-order formal theories and informal theories in the context of set theory.
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MAT 431 - Mathematical Logic
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MAT 461: Numerical Analysis
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisites: MAT 202, MAT 263, and MAT 264. Numerical solutions (and error analysis) to linear and nonlinear equations; interpolation; curve fitting; function approximation; numerical differentiation and integration; differential equations.
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MAT 461 - Numerical Analysis
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MAT 471: Introduction to Topology
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisites: MAT 270 and either MAT 301 or MAT 417. Introduction to topology: sets and functions; metric spaces; topological spaces; connectedness; compactness; separation.
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MAT 471 - Introduction to Topology
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MAT 490: Seminar
3.00 Credits
Buffalo State SUNY
3, 3/0 Prerequisite: Senior mathematics major or permission of instructor. Investigation of topics of current interest to mathematicians, such as group theory; game theory; differential geometry; measure theory; sampling theory. Emphasis on oral presentations and discussions.
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MAT 490 - Seminar
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