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MATH 385: Introduction To Topology
3.00 Credits
Missouri University of Science and Technology
Metric spaces; general topological spaces; connectedness, compactness, separation properties, functions and continuity. Prerequisite: Math 309.
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MATH 385 - Introduction To Topology
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MATH 390: Undergraduate Research
0.00 - 6.00 Credits
Missouri University of Science and Technology
This course is designed for the undergraduate student who wishes to engage in research. It is not to be used for graduate credit nor for more than six credit hours of undergraduate credit. The subject and credit are to be arranged with the instructor. Prerequisite: Consent of instructor.
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MATH 390 - Undergraduate Research
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MATH 4: College Algebra
3.00 Credits
Missouri University of Science and Technology
A study of linear equations, rational functions, radicals, quadratic equations, inequalities, determinants, progressions, theory of equations, permutations, combinations, and the binomial theorem. Prerequisite: By placement examination.
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MATH 400: Special Problems
0.00 - 6.00 Credits
Missouri University of Science and Technology
Problems or readings on specific subjects or projects in the department. Consent of instructor required.
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MATH 400 - Special Problems
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MATH 401: Special Topics
0.00 - 6.00 Credits
Missouri University of Science and Technology
This course is designed to give the department an opportunity to test a new course. Variable title.
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MATH 401 - Special Topics
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MATH 402: Mathematical Physics I
3.00 Credits
Missouri University of Science and Technology
Vector spaces, generalized coordinate transformations, vector analysis, tensors, partial differential equations in physics and boundary value problems, orthogonal functions and solutions to ordinary differential equations, hypergeometric, confluent hypergeometric, Legendre, Laguerre, and Bessel functions, Hermite polynomials, Green's functions in one dimension. (Co-listed with Physics 402)
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MATH 403: Mathematical Physics II
3.00 Credits
Missouri University of Science and Technology
Green's functions in three dimensions, integral equations, complex variable theory and contour integration, group theory with applications to quantum mechanics, solid state and molecular physics. Prerequisite: Math 402 or Physics 402. (Co-listed with Physics 403)
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MATH 403 - Mathematical Physics II
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MATH 405: Finite Fields And Applications
3.00 Credits
Missouri University of Science and Technology
After reviewing basic group theory and introducing basic properties of commutative rings, the main focus of the course will be on topics such as structure of finite fields, polynomials over finite fields, and applications such as coding theory and cryptography. Prerequisite: Math 305.
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MATH 406: Introduction to Ring Theory
3.00 Credits
Missouri University of Science and Technology
Properties of rings with an emphasis on commutative rings. Ideals, factor rings, ring homomorphisms, polynomial rings; factorization, divisibility, and irreducibility. Introduction to extension fields and Galois theory. Applications may be chosen based on the interests of the students. Prerequisite: Math 305.
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MATH 407: Group Theory
3.00 Credits
Missouri University of Science and Technology
Groups, subgroups, and factor groups; homomorphisms, isomorphisms, and associated theorems; abelian groups; Sylow theorems and p-groups; permutation groups; free groups and generators; representation theory; cohomology theory. Prerequisite: Math 306.
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MATH 407 - Group Theory
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