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MATH 2993: Directed Study
5.00 - 25.00 Credits
University of Minnesota-Morris
An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum. In particular, students are encouraged to take at least one credit of a directed study in problem solving in mathematics. Such courses, at different levels, are available each term.
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MATH 3211: Geometry
3.00 Credits
University of Minnesota-Morris
Synthetic approach to Euclidean and non-Euclidean geometries. Selected topics from affine, hyperbolic, spherical, projective geometries. Possible comparisons of analytic and synthetic approaches. May include other related topics or use of computer software for geometry.
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MATH 3211 - Geometry
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MATH 3221: Analysis
3.00 Credits
University of Minnesota-Morris
Introduction to real and complex analysis. The main topics of calculus-convergence, continuity, differentiation, integration, and series-applied and extended in advanced settings with emphasis on precise statements and rigorous proofs. Concept of metric space. Other topics and applications.
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MATH 3231: Abstract Algebra I
3.00 Credits
University of Minnesota-Morris
Systematic study of groups and rings, making use of linear algebra. Groups as codifying symmetry throughout mathematics and its applications. The Euclidean algorithm and its consequences, both for integers and polynomials. Other selected topics and applications.
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MATH 3231 - Abstract Algebra I
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MATH 3401: Operations Research
3.00 Credits
University of Minnesota-Morris
Topics include, but not limited to, linear and integer linear programming formulations, sensitivity analysis and duality, network models and applications.
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MATH 3401 - Operations Research
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MATH 3411: Discrete and Combinatorial Mathematics
3.00 Credits
University of Minnesota-Morris
Propositional logic; equivalence relations; recurrence equations; structures and properties of undirected and directed graphs; applications of the aforementioned topics.
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MATH 3411 - Discrete and Combinatorial Mathematics
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MATH 3501: Applied Deterministic Modeling for Management Science
3.00 Credits
University of Minnesota-Morris
Same as Mgmt 3501. Formulations of real-world problems as Linear Programming or Integer Linear Programming models; graphical solutions of some LP models. Linear Programming: the Simplex method, intuitive ideas behind the Simplex method. Using software to solve LP problems; interpreting optimal solutions; sensitivity analysis; duality. Network diagram representation; critical path method (CPM-PERT); transportation problem.
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MATH 3501 - Applied Deterministic Modeling for Management Science
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MATH 3502: Applied Probabilistic Modeling for Management Science
3.00 Credits
University of Minnesota-Morris
Same as Mgmt 3502. Short review of probability and statistics; mean and variance of a data set; discrete and continuous random variables (especially the exponential distribution and the Poisson distribution). Decision and game theory. Decision trees, types of decision criteria. Queueing models, birth-and-death processes; Markovian or Poisson arrivals and exponential service times; M/M/k and M/M/8 queues; Statistical Quality Control; inventory control system.
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MATH 3993: Directed Study
5.00 - 25.00 Credits
University of Minnesota-Morris
An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum. In particular, students are encouraged to take at least one credit of a directed study in problem solving in mathematics. Such courses, at different levels, are available each term. Courses numbered 42xx can include a variety of topics in mathematics. Each year the mathematics discipline will decide which courses to offer, taking student preferences into account.
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MATH 4201: Complex Analysis
3.00 Credits
University of Minnesota-Morris
Differentiable and analytic functions of a complex variable. Contour integral theorems. Laurent expansions. Other topics optional.
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MATH 4201 - Complex Analysis
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