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MATH 4211: Real Analysis
3.00 Credits
University of Minnesota-Morris
Differentiation of functions of several variables. The extension of integration to other forms of integrals. Introduction to measure theory. Other optional topics.
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MATH 4211 - Real Analysis
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MATH 4221: Topology
3.00 Credits
University of Minnesota-Morris
Selected topics from point set topology and/or algebraic topology.
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MATH 4221 - Topology
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MATH 4231: Abstract Algebra II
3.00 Credits
University of Minnesota-Morris
Selected topics from the theory of finite groups, Galois theory of fields, and/or the theory of rings.
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MATH 4231 - Abstract Algebra II
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MATH 4241: Number Theory
3.00 Credits
University of Minnesota-Morris
Selected topics from modular congruences, theory of primes, classical Diophantine equations, and the connections with algebraic curves.
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MATH 4241 - Number Theory
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MATH 4251: Problem Solving in Pure Math
3.00 Credits
University of Minnesota-Morris
Strategies for investigating problems. Fundamental tactics for solving problems, cross-over tactics. Specific ideas in problems from algebra, combinatorics, number theory, and calculus.
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MATH 4251 - Problem Solving in Pure Math
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MATH 4252: Differential Geometry
3.00 Credits
University of Minnesota-Morris
Geometry of curves and surfaces. Frames, curvature, torsion, orientation, differential forms, topological properties of surfaces. The notion of differentiable manifold. Selected applications.
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MATH 4252 - Differential Geometry
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MATH 4253: Combinatorics
3.00 Credits
University of Minnesota-Morris
Selected topics from graph theory, the theory of ordered sets, and/or enumerative combinatorics.
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MATH 4253 - Combinatorics
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MATH 4401: Numerical Methods with Applications in Mathematical Modeling
3.00 Credits
University of Minnesota-Morris
Finite differences; interpolation; numerical integration; numerical solutions of differential, algebraic, and transcendental equations; continuous mathematical models.
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MATH 4401 - Numerical Methods with Applications in Mathematical Modeling
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MATH 4451: Fundamentals of Numerical Analysis
3.00 Credits
University of Minnesota-Morris
Errors and floating point arithmetic. Solving systems of linear equations. Polynomial interpolation. Roots of nonlinear equations. Solving nonlinear systems of equations. Numerical integration. Ordinary differential equations.
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MATH 4451 - Fundamentals of Numerical Analysis
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MATH 4452: Mathematical Modeling
3.00 Credits
University of Minnesota-Morris
Mathematical modeling using discrete and continuous models. Mathematical topics include, but are not limited to, curve fitting, statistical testing, regression analysis, differential equations, and dynamical systems. Topics drawn from population growth, interacting populations, biology, genetics, traffic flow, or finance.
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MATH 4452 - Mathematical Modeling
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