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MATH 306: Modern Algebra II
3.00 Credits
Missouri University of Science and Technology
This course is a continuation of Math 305. Rings and fields are discussed. Euclidean domains, principal ideal domains, unique factorization domains, vector spaces, finite fields and field extensions are studied. Prerequisite: Math 305.
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MATH 306 - Modern Algebra II
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MATH 307: Combinatorics And Graph Theory
3.00 Credits
Missouri University of Science and Technology
Covers some basics of enumeration and graph theory. Topics are selected from the following: permutations combinations, the inclusion/exclusion principle, generating functions, recurrence relations, trees, networks, graph connectivity and graph coloring. Prerequisite: Comp Sci 128 or Math 209.
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MATH 307 - Combinatorics And Graph Theory
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MATH 308: Linear Algebra II
3.00 Credits
Missouri University of Science and Technology
Eigenvalue problems, Cayley-Hamilton theorem, Jordan normal form, linear functionals, bilinear forms, quadratic forms, orthogonal and unitary transformations, selected applications of linear algebra. Prerequisite: Math 208.
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MATH 308 - Linear Algebra II
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MATH 309: Advanced Calculus I
3.00 Credits
Missouri University of Science and Technology
Completeness of the set of real numbers, sequences and series of real numbers, limits, continuity and differentiability, uniform convergence, Taylor series, Heine-Borel theorem, Riemann integral, fundamental theorem of calculus, Cauchy-Riemann integral. Prerequisite: Math 22 and Math 209, or a 300-level mathematics course, or graduate standing.
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MATH 309 - Advanced Calculus I
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MATH 310: Undergraduate Seminar
1.00 - 3.00 Credits
Missouri University of Science and Technology
Discussion of advanced or current topics. (Course cannot be used for graduate credit).
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MATH 310 - Undergraduate Seminar
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MATH 311: Advanced Calculus II
3.00 Credits
Missouri University of Science and Technology
Euclidean n-space, differentiation and integration of scalar functions of several variables, maxima and minima theory, change of variables, differentiation and integration of vector functions of several variables, Divergence theorem, Stokes' theorem. Prerequisite: Math 309.
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MATH 311 - Advanced Calculus II
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MATH 315: Introduction To Real Analysis
3.00 Credits
Missouri University of Science and Technology
Riemann-Stieltjes integration, sequences and series of functions, uniform approximation, the Banach Space C(a,b), Lebesgue measure and integration, the space LP(a,b), Fourier series. Prerequisite: Math 309.
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MATH 315 - Introduction To Real Analysis
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MATH 322: Vector And Tensor Analysis
3.00 Credits
Missouri University of Science and Technology
Vector algebra, vector differential and integral calculus, line and surface integrals, theorems of Stokes and Gauss, tensor algebra and tensor analysis, applications to problems in kinematics, elasticity theory, fluid mechanics, electromagnetic theory, relativity theory. Prerequisite: Math 22; Math 203 or Math 208.
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MATH 322 - Vector And Tensor Analysis
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MATH 322H: Vector and Tensor Analysis - Honors
3.00 Credits
Missouri University of Science and Technology
No course description available.
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MATH 322H - Vector and Tensor Analysis - Honors
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MATH 325: Partial Differential Equations
3.00 Credits
Missouri University of Science and Technology
Linear equations, heat equation, eigenfunction expansions, Green's formula, inhomogeneous problems, Fourier series, wave equation. Prerequisite: Math 204 with a grade of "C" or better.
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MATH 325 - Partial Differential Equations
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