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Course Criteria
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1.00 Credits
Students enrolled in this course will normally work in the modular math program. The course may be repeated. Prerequisites & Corequisites: Prerequisite: consent of instructor. Credits: 1 hour
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3.00 Credits
An introduction to the methods of mathematical modeling. The major aim of this course is to teach the formulation of mathematical problems from real world practical situations. The representation of a practical or scientific problem in mathematical terms may give a more precise understanding of its significant properties, and may allow prediction of future events. Case studies considered will involve many areas of application and several different mathematical techniques. The computer will be used as a tool in pursuing some of these problems. This course is approved as a writing-intensive course which may fulfill the baccalaureate-level writing requirement of the student's curriculum. Prerequisites & Corequisites: Prerequisite: MATH 3740 and a computer programming course. Credits: 3 hours
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3.00 Credits
Linear programming and its applications. This course will cover basic theory and applications of linear programming. The topics will include convex geometry, the simplex algorithm, and duality. The applications may include problems in the areas of network optimization, the transportation problem, the assignment problem, the diet problem, cluster analysis, L1 fits, game theory, and scheduling. Prerequisites & Corequisites: Prerequisite: MATH 2300 or 3740. Credits: 3 hours
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3.00 Credits
This course continues MATH 330 by studying groups, rings, and fields in more generality and detail. Topics are chosen from: Group homomorphism, normal subgroups, quotient groups, the fundamental homomorphism theorem, groups acting on sets, Sylow's theorem, ring homomorphisms, ideals, quotient rings, Euclidean domains, principal ideal domains, unique factorization domains. Prerequisites & Corequisites: Prerequisite: MATH 3300. Credits: 3 hours
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3.00 Credits
Elements of graph theory, including the study of Eulerian graphs, Hamiltonian graphs, planar graphs, trees, digraphs, and the applications of graphs as models. Emphasis will be on proofs and proof techniques. Examples of other discrete models may be considered. Prerequisites & Corequisites: Prerequisites: MATH 1450 or MATH 3140 or consent of instructor. Credits: 3 hours
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3.00 Credits
An algorithmic approach to combinatorics including graph theory, enumeration, and applications. Prerequisites & Corequisites: Prerequisites: MATH 1450 or MATH 3140 (CS 1110 recommended). Credits: 3 hours
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3.00 Credits
This course considers curriculum issues and trends in secondary school mathematics focusing on methods and materials for teaching mathematics effectively to secondary school students. Prerequisites & Corequisites: Prerequisite: MATH 3510 and one of MATH 3300 or MATH 3400. Credits: 3 hours
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3.00 Credits
The content of this course varies with the semester offered and with the instructor. The course is intended to introduce students to significant topics not ordinarily encountered and to present more variety in their undergraduate programs. May be taken more than once with the approval of the student's advisor. Prerequisites & Corequisites: Prerequisite: Approval of Department. Credits: 3 hours
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3.00 Credits
The analysis and use of numerical algorithms for the solution of nonlinear equations, systems of linear equations, interpolation, numerical differentiation and integration. Prerequisites & Corequisites: Prerequisites: MATH 3740 and a computer programming language beyond Basic, e.g., Fortran or C. Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair Credits: 3 hours
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3.00 Credits
An introduction to the study of methods to solve linear systems of equations, least squares approximation problems, and eigenvalue problems. Topics covered include the algebra of real and complex matrices with particular emphasis on LU-decompositions, QR-decompositions, singular value decompositions, generalized inverses, Hermitian symmetric matrices, positive definite matrices and the Spectral Theorem. Applications from multivariate calculus will be discussed. Prerequisites & Corequisites: Prerequisites: Either MATH 2300 and MATH 2720, or MATH 3740. Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair. Credits: 3 hours
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