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MTH 235: Linear Algebra
4.00 Credits
University of Rochester
In this course we develop matrix methods for determining the solvability of and finding solutions to systems of linear equations in several variables. We study linear transformations on finite-dimensional vector spaces over R (real numbers) and C (complex numbers), which includes a development of the concepts of an inner product, orthogonality, a basis of a vector space, and eigenspaces of linear transformations.
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MTH 235 - Linear Algebra
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MTH 236: Intro To Algebra I
4.00 Credits
University of Rochester
The course will treat introductory group theory topics. Finite dimensional vector spaces over R and C axiomatically and with coordinate calculations. Forms, linear transformation, matrices, eigenspaces.
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MTH 236 - Intro To Algebra I
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MTH 236H: Intro To Algebra I (Honors)
4.00 Credits
University of Rochester
An honors version of MTH 236.
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MTH 236H - Intro To Algebra I (Honors)
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MTH 240: Intro To Topology
4.00 Credits
University of Rochester
Introduction to topology. Review of set theory. Metric spaces and topological spaces. Functions and continuous functions. The concepts of convergence, completeness, connectedness, and compactness. Applications to surfaces.
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MTH 240 - Intro To Topology
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MTH 240H: Intro To Topology (Honors)
4.00 Credits
University of Rochester
An honors version of MTH 240.
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MTH 240H - Intro To Topology (Honors)
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MTH 248: Theory Of Graphs
4.00 Credits
University of Rochester
Paths, circuits, trees. Bipartite graphs, matching problems. Unicursal graphs, Hamiltonian circuits, factors. Independent paths and sets. matrix representations. Planar graphs, coloring problems.
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MTH 248 - Theory Of Graphs
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MTH 256: Differential Geometry Ii
4.00 Credits
University of Rochester
Riemannian geometry.
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MTH 256 - Differential Geometry Ii
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MTH 282: Intro To Complex Var With Ap
4.00 Credits
University of Rochester
Complex differentiation and integration, analytic functions, singularities, residues, poles, series expansions, conformal mapping, with some applications. This course is independent of MTH 281.
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MTH 282 - Intro To Complex Var With Ap
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MTH 285: Methods Of Applied Math
4.00 Credits
University of Rochester
This is a new course which aims to introduce some of the methods of applied mathematics: minimum principles; eigenvalues and dynamical systems; constraints and Lagrange multipliers; applications to electrical networks; differential equations of equilibrium; calculus of variations; stability and chaos; nonlinear conservation laws.
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MTH 285 - Methods Of Applied Math
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MTH 302W: History Of Math Ii
4.00 Credits
University of Rochester
The style and development of European mathematics from roughly 1650 to roughly 1950. The development of calculus and analysis, algebra, probability, geometry (including non-Euclidean geometry), set theory, are all touched on. The introduction of the idea of rigorous proof. This course is independent of MTH 300W and may be taken independently of it.
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MTH 302W - History Of Math Ii
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