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MATH 4191: SPECIAL TOPICS IN MATHEMATICS
1.00 Credits
The University of Texas at Arlington
Special topics in mathematics are assigned to individuals or small groups. Faculty members closely supervise the projects and assign library reference material. Small groups will hold seminars at suitable intervals. May be repeated for credit. Prerequisite: senior standing and written permission of the instructor & department chair.
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MATH 4291: SPECIAL TOPICS IN MATHEMATICS
2.00 Credits
The University of Texas at Arlington
Special topics in mathematics are assigned to individuals or small groups. Faculty members closely supervise the projects and assign library reference material. Small groups will hold seminars at suitable intervals. May be repeated for credit. Prerequisite: senior standing and written permission of the instructor & department chair.
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MATH 4303: INTRODUCTION TO TOPOLOGY
3.00 Credits
The University of Texas at Arlington
A first course in topology from the axiomatic point of view. Prerequisite: C or better in MATH 3335.
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MATH 4311: STOCHASTIC MODELS AND SIMULATION
3.00 Credits
The University of Texas at Arlington
A study of processes, whose outcomes are governed by chance, through a combination of lectures and computer lab sessions. Experiments include random number generation, coin tossing and other games of chance, random walks, Markov Chains, Poisson processes, birth-death processes, branching processes, and Brownian Motion. A foundation for modeling random phenomena in sciences, engineering and business. Prerequisite: C or better in MATH 2326 and knowledge of basic probability (MATH/STATS 3313 or MATH/BIOL 3351 or equivalent), or consent of instructor
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MATH 4312: PROBABILITY
3.00 Credits
The University of Texas at Arlington
Basic probability theory, random variables, expectation, probability models, generating functions, transformations of random variables, limit theory. Prerequisite: C or better in MATH/STATS 3313.
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MATH 4313: APPLICATIONS OF MATHEMATICAL STATISTICS
3.00 Credits
The University of Texas at Arlington
A continuation of MATH 3313. Sampling distributions, estimation of parameters, confidence intervals, testing of hypotheses, linear regression, linear time series models, moving average, autoregressive and/or autoregressive integrated moving average (ARIMA) models, estimation, data analysis and forecasting with time series models and forecast errors and confidence intervals. Prerequisite: C or better in MATH 3313 or STATS 3313.
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MATH 4314: ADVANCED DISCRETE MATHEMATICS
3.00 Credits
The University of Texas at Arlington
Finite automata, Turing machines, formal languages, graph theory, combinatorial optimization, complexity of algorithms, P versus NP, and decidable versus undecidable problems. Prerequisite: C or better in MATH 3314.
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MATH 4318: MATHEMATICAL METHODS FOR SCIENCES
3.00 Credits
The University of Texas at Arlington
Infinite series: complex variables; determinants; matrices; tensor analysis; Fourier analysis; differential equations; special functions. Prerequisite: C or better in MATH 3318 or MATH 3319 and eight hours in the discipline of appropriate department.
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MATH 4320: ADVANCED DIFFERENTIAL EQUATIONS
3.00 Credits
The University of Texas at Arlington
The existence and properties of solution of differential equations. Prerequisite: C or better in MATH 3318 or 3319.
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MATH 4321: ABSTRACT ALGEBRA II
3.00 Credits
The University of Texas at Arlington
Rings and field theory, including polynomial rings and field extensions. Prerequisite: C or better in MATH 3321.
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