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Course Criteria
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3.00 Credits
Prerequisite: a grade of C or greater in MATH 4303 or consent of instructor. Algebra of complex numbers, analytic functions, integration, power series, Laurent series, and elementary conformal mappings. Dual-listed in the UALR Graduate Catalog as MATH 5302. Three hours lecture. Three credit hours.
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3.00 Credits
Prerequisites: grades of C or greater in MATH 2453 and 3312. The real number system, sequences, limits, continuity, metric spaces, convexity, derivatives, linear analysis, and integration. Dual-listed in the UALR Graduate Catalog as MATH 5303. Three credit hours.
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3.00 Credits
Prerequisite: a grade of C or greater in MATH 4303. Functions of several variables, implicit function theorem, geometry of curves and surfaces, differential forms, Stoke's theorem and Green's theorem. Dual-listed in t he UALR Graduate Catal og aMATH 5304. Three hours lecture. Three credit hours.
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3.00 Credits
Prerequisite: MATH 1451 or equivalent. This course will cover some key procedures of the financial mathematics: determining equivalent measures of interest; discounting; accumulating; determining yield rates; estimating the rate of return on a fund; amortization. Three credit hours.
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3.00 Credits
Prerequisite: a grade of C or greater in MATH 3322. Review of linear differential equations. The Laplace transform, functions of a complex variable, integration by the method of residues, the Laplace transform inversion integral. The Ztransform, the Z-transform inversion integral, difference equations, Fourier series, and the Fourier transform. Dual-listed in the UALR Graduate Catalog as MATH 5308. Three credit hours.
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3.00 Credits
Prerequisite: a grade of C or greater in MATH 3310. Continues the topics of Algebraic Structures I into more advanced topics of modern algebra including factor groups, polynomial rings, quotient rings, and extension fields. Three credit hours.
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3.00 Credits
Prerequisites: grades of C or greater in MATH 2453, 3312, or equivalent courses; knowledge of a scientific programming language. Error analysis, fixed points and roots, interpolation, approximations, numerical differentiation and integration, linear systems, differential equations. Dual-listed in the UALR Graduate Catalog as MATH 5323. Three hours lecture. Three credit hours.
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3.00 Credits
Prerequisite: a grade of C or greater in MATH 3330. A rigorous development of Euclidean geometry. Three hours lecture. Three credit hours.
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3.00 Credits
Prerequisite: grade of C or greater in MATH 1452. This course will provide an overview of aspects of the history of mathematics from the Early Beginnings (before the sixth century B.C.), Classical Period (sixth century B.C. to fifth century), and Medieval and Renaissance Periods (sixth century to sixteenth century). This survey course discusses a broad range of the history of mathematics including a variety of topics over many consecutive time periods, and is organized so that there is more discussion than lecture. The course will consider both the growth of mathematical ideas and the context in which these ideas developed, in various civilizations around the world. Attention will be paid to how the history of mathematics or mathematical ideas is important in the teaching of these ideas in both secondary school and college. Three credit hours.
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3.00 Credits
Prerequisite: grade of C or greater in MATH 1452. This course will provide an overview of aspects of the history of mathematics from the Early Modern Period (seventeenth and eighteenth centuries) and the Modern Period (nineteenth and twentieth centuries). This survey course discusses a broad range of the history of mathematics including a variety of topics over many consecutive time periods, and is organized so that there is more discussion than lecture. The course will consider both the growth of mathematical ideas and the context in which these ideas developed in various civilizations around the world. Attention will be paid to how the history of mathematics or mathematical ideas is important to the teaching of these ideas in both secondary school and college. Three credit hours.
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