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Course Criteria
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3.00 Credits
A study of the underlying theory of elementary calculus. Topics include the structure and properties of the real numbers, sequences, functions, limits, continuity, the derivative, the Riemann integral, and Taylor's theorems. Prerequisites: MATH 223 and MATH 239. Credits: 3(3-0).
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3.00 Credits
A continuation of MATH 324 covering Riemann- Stieltjes integration, sequences and series of functions, special functions, and functions of several variables. Prerequisites: MATH 324. Credits: 3(3-0). Offered spring, odd years.
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3.00 Credits
A study of the methods of solving ordinary differential equations, and some of the applications of these equations in the physical sciences and geometry. Prerequisites: MATH 223. Credits: 3(3-0). Offered every spring.
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3.00 Credits
A continuation of MATH 326 covering the existence theory of systems of ordinary differential equations, phase plane analysis, stability theory, and boundary value problems. An introduction to chaos theory, Lyapunov's Theorem, and Green's functions may be included if time permits. Prerequisites: MATH 233 and MATH 326. Credits: 3(3-0). Offered fall, odd years.
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3.00 Credits
A study of the basic properties of groups, rings, and integral domains, including the fundamental theorem of group homomorphisms. The concepts basic to the development of algebraic systems are studied initially. Prerequisites: MATH 222, MATH 233, and MATH 239. Credits: 3(3-0)..
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3.00 Credits
The course introduces the student to the techniques for the formulation and solution of linear programming problems and their corresponding dual problems. Techniques to be covered will include the Simplex Method, the Dual Simplex Method, Cutting Plane Methods, and Branch and Bound Methods. Topics will include the Transportation Problem, the Assignment Problem, the Shortest Route Problem, Graphs and Networks. The Network Simplex Method, the Ellipsoid Algorithm and the Critical Path Method may be included if time permits. Prerequisites: MATH 233, MATH 237 or MATH 239, one programming course such as CSCI 120 or CSCI 141 or permission of instructor. Credits: 3(3-0). Offered fall, even years.
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3.00 Credits
An advanced look at vector spaces and linear transformations, with emphasis on the analysis of the eigenvalues of a linear transformation and on the concept of orthogonality. Applications, such as the solutions of linear systems of ordinary differential equations, are included. Prerequisites: MATH 223, MATH 233, and MATH 239. Credits: 3(3-0). Offered every fall.
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3.00 Credits
This course presents an investigation of the axiomatic foundations for several approaches to the study of modern geometry. Euclidean geometry, geometric transformations, and non-Euclidean geometries will be discussed. Prerequisites: MATH 222 and MATH 239. Credits: 3(3-0). Offered every spring.
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3.00 Credits
A detailed examination of topological spaces and mappings. The properties of compactness, connectedness, metrizability, and separability are also studied. Prerequisites: MATH 223 and MATH 239. Credits: 3(3-0). Offered spring, odd years.
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2.00 Credits
Computer and mathematical models are increasingly important tools used to understand complex biological systems. Under the guidance of biology and mathematics professors, students will work both individually and in groups to develop, analyze and present models of various biological systems ranging from disease models and diffusion processes to ecosystem dynamics. The course involves two hours of lectures and a two hour computer-based laboratory. (Cross listed with BIOL 340.) Prerequisites: MATH 222 and at least one of the following: BIOL 203, BIOL 222, MATH 223 or permission of the instructor. Credits: 3(2-2). Offered spring, even years and when demand is sufficient.
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