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Math 502: General Topology II
3.00 Credits
University of Mississippi
Algebraic invariants in topology.
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Math 502 - General Topology II
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Math 513: Theory of Numbers I
3.00 Credits
University of Mississippi
Divisibility; properties of prime numbers; congruences and modular arithmetic; quadratic reciprocity; and representation of integers as sums of squares.
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Math 513 - Theory of Numbers I
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Math 514: Theory of Numbers II
3.00 Credits
University of Mississippi
Arithmetic functions and their distribution; distribution of prime numbers; Dirichlet characters and primes in arithmetic progression; and partitions.
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Math 514 - Theory of Numbers II
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MATH 519: Matrices
3.00 Credits
University of Mississippi
Basic matrix theory, eigenvalues, eigenvectors, normal and Hermitian matrices, similarity, Sylvester's Law of Inertia, normal forms, functions of matrices.
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MATH 519 - Matrices
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MATH 520: Linear Algebra
3.00 Credits
University of Mississippi
An introduction to vector spaces and linear transformations; eigenvalues, and the spectral theorem.
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MATH 520 - Linear Algebra
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Math 525: Modern Algebra I
3.00 Credits
University of Mississippi
General properties of groups.
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Math 525 - Modern Algebra I
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Math 526: Modern Algebra II
3.00 Credits
University of Mississippi
General properties of rings and fields.
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Math 526 - Modern Algebra II
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MATH 533: Topics in Euclidean Geometry
3.00 Credits
University of Mississippi
A study of incidence geometry; distance and congruence; separation; angular measure, congruences between triangles; inequalities; parallel postulate; similarities between triangles; circles area.
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MATH 533 - Topics in Euclidean Geometry
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MATH 537: Non-Euclidean Geometry
3.00 Credits
University of Mississippi
Brief review of the foundation of Euclidean plane geometry with special emphasis given the Fifth Postulate; hyperbolic plane geometry; elliptic plane geometry.
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MATH 537 - Non-Euclidean Geometry
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MATH 540: History of Mathematics
3.00 Credits
University of Mississippi
Development of mathematics, especially algebra, geometry, and analysis; lives and works of Euclid, Pythagoras, Cardan, Descartes, Newton, Euler, and Gauss. Prerequisite requirements for this course may also be satisfied by consent of instructor.
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MATH 540 - History of Mathematics
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