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Course Criteria
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3.00 Credits
Prerequisite: "C" or better grade in MATH 3310 and CSIS 2301 . Topics included will be numerical methods for systems of equations, differentiation and integra-tion, approximation theory, initial and boundary value problems and problems for ordinary dif-ferential equations. Extensive use of computing will be incorporated.
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3.00 Credits
Prerequisite: "C" or better grade in MATH 3260 . An introduction to the fundamental structures of abstract algebra (groups, rings, and fields), the connections of these structures with the algebra studied at the elementary level, and the histori-cal development of modern algebra.
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3.00 Credits
This course is a continuation of MATH 4361 in which portions of the theory of abstract algebra will be developed more fully and specific applications will be examined more deeply. Some theoretical and applied areas from which the topics of this course will be chosen are Galois Theory (including straight-edge and compass constructability, Galois groups, and solvability of polynomials by radicals), lattices and Boolean Algebras, cryptography, and/or other application areas (at the instructor’s discretion).
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3.00 Credits
Prerequisite: "C" or better grade in MATH 2202 and MATH 3260 . A study of functions of a single real variable and of some of the finer properties of the real number system. Various foundational topics such as proofs, the theory of sets, infinity, etc., will present themselves naturally as the student deepens his/her understanding of concepts already familiar from Calculus. Among topics to be included will be the real number system, sequences, functions, limits, continuity, deriva-tives, and the Mean Value Theorem.
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3.00 Credits
This course continues the study of functions of one real variable begun in Real Analysis I. Topics included are: the Riemann-Stieltjes integral; Sequences and series of functions; Introduction to orthogonal functions and Fourier series; Introduction to Lebesgue measure theory and integration.
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3.00 Credits
The study of complex variables is a central subject in mathematics, important for students in mathematics, engineering and physical sciences (due to so many applications to fluid mechanics, heat conduction, and electromagnetic theory). Complex variables are a very powerful tool for solving problems that are either difficult or virtually impossible to solve in any other way. Topics covered in MATH 4391 provide an introduction to the subject, including basics from complex function theory: numbers, analytic functions, Cauchy-Riemann conditions, elementary functions, complex integration, Cauchy’s theorem and integral formula, power series, residues and applications. complex
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3.00 Credits
Prerequisite: Approval of instructor, major area committee, and department chair. Special advanced topics external to regular course offerings.
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3.00 Credits
Prerequisite: Approval of instructor and depart-ment chair. Special selected topics of interest to faculty and students.
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3.00 Credits
Prerequisite: "C" or better grade in MATH 3260 . Students ' understanding of secondary mathe-matics will be deepened and broadened through the study of algebraic structures, analytic geom-etry, and trigonometry, including conic sections, complex numbers, polynomials and functions. This course is designed so that students can revisit key ideas in high school mathematics, bringing with them the skills and understand-ings of college course work in mathematics, deepening and broadening their understand-ing, and connecting more advanced ideas to the topics they will teach in high school.
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3.00 Credits
Prerequisite: Approval of mathematics depart-ment chair. An internship, project or course which synthesizes the skills mastered during the course of the program. ? MAED 3475. Historical and Modern Approaches to Mathematics. (3-0-3). Prerequisite: Admission to teacher education. Students will investigate classical and modern mathematics through problem-solving and math-ematicsspecific technologies. Students will have opportunities to connect course content with the middle and secondary school curriculum.
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