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Course Criteria
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4.00 Credits
An application-oriented course introducing contemporary mathematical concepts that pertain to areas of Architecture and Humanities and Social Sciences. The course will cover growth and form, symmetry, patterns, tilings, linear programming, information coding, voting systems, game theory, logic, probability and statistics. Prerequisites/Corequisites: Prerequisites: major in Architecture or Humanities and Social Sciences and MATH 1010 or MATH 1500 or permission of instructor. When Offered: Spring term annually . Credit Hours: 4
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1.00 Credits
A seminar for first-year math majors. The weekly student-faculty discussions will vary but examples of topics are: unsolved math problems, countability and the arithmetic of the infinite, topology and the concept of dimension, geometry and one-sided surfaces, and the theory underlying topics currently covered in calculus. Prerequisites/Corequisites: Prerequisite: first-year math majors. When Offered: Fall term annually. Credit Hours: 1
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1.00 Credits
A seminar for first-year math majors. The weekly student-faculty discussions will vary but examples of topics are: unsolved math problems, countability and the arithmetic of the infinite, topology and the concept of dimension, geometry and one-sided surfaces, and the theory underlying topics currently covered in calculus. Prerequisites/Corequisites: Prerequisite: first-year math majors. When Offered: Spring term annually . Credit Hours: 1
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4.00 Credits
Directional derivatives, maxima and minima, double integrals, line integrals, div and curl, and Green's Theorem; matrix algebra and systems of linear equations, vectors and linear transformations in R^n, eigenvectors and eigenvalues, applications in engineering and science. Prerequisites/Corequisites: Prerequisite: MATH 1020. When Offered: Fall and spring terms annually. Credit Hours: 4
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4.00 Credits
First-order differential equations, second-order linear equations, eigenvalues and eigenvectors of matrices, systems of first-order equations, stability and qualitative properties of nonlinear autonomous systems in the plane, Fourier series, separation of variables for partial differential equations. Prerequisites/Corequisites: Prerequisites: MATH 1020 and some knowledge of matrices. When Offered: Fall and spring terms annually. Credit Hours: 4
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4.00 Credits
Introduction to the mathematical foundation of computer science. Topics include logic and set theory; methods of proof; mathematical induction and wellordering; principles of counting; relations and graphs; recurrences; discrete probability. Prerequisites/Corequisites: Prerequisite: MATH 1010 or MATH 1500 or equivalent. When Offered: Spring term annually. Credit Hours: 4
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1.00 - 4.00 Credits
Credit Hours: 1 to 4
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1.00 - 4.00 Credits
Credit Hours: 1 to 4
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4.00 Credits
Groups, rings, polynomial rings, fields, integral domains, with emphasis on group theory; homomorphisms and isomorphisms; normal subgroups, cosets, ideals, modules; quotient groups and quotient rings; other topics chosen from number theory, polynomials and Galois Theory. Prerequisites/Corequisites: Prerequisite: MATH 4090 or graduate standing or permission of the instructor. MATH 4100 is desirable but not required. When Offered: Spring term annually . Credit Hours: 4
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4.00 Credits
Topics include the history of number representation systems, divisibility, greatest common divisor and prime factorization, linear Diophantine equations, congruences, and condition congruences. Additional topics may be chosen from cryptology, the perpetual calendar, hashing functions, computer operations and complexity, continued fractions, multiplicative functions, primitive roots, pseudo-random numbers, nonlinear Diophantine equations, Fermat's last theorem, algebraic numbers, and approximation of numbers by rationals. Prerequisites/Corequisites: Prerequisite: MATH 1020. When Offered: Spring term odd-numbered years. Credit Hours: 4
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