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MATH 533: Algebra III
4.00 Credits
Eastern Washington University
SPRING Prerequisite: MATH 532 or permission of the instructor. The theory of fields and character theory. Topics: Galois theory, finite fields, cyclotomic extensions, transcendental extensions, group rings, Wedderburn's Theorem, Schur orthogonality relations.
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MATH 533 - Algebra III
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MATH 539: Seminar in Special Topics MATH 551 General Topology I
1.00 - 5.00 Credits
Eastern Washington University
FALL Prerequisite: MATH 360 or 460 or a course in Topology. Examines properties of abstract topological spaces and mappings including compactness and connectedness, conditions for metrizability.
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MATH 539 - Seminar in Special Topics MATH 551 General Topology I
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MATH 552: General Topology II
4.00 Credits
Eastern Washington University
Prerequisite: MATH 551. Discusses uniformities and proximities, nets and filters, compactification, completeness, function spaces, quotient spaces and related concepts.
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MATH 552 - General Topology II
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MATH 553: Topics from Topology
4.00 Credits
Eastern Washington University
Prerequisite: MATH 552. Selected topics, depending on the interest of the class and instructor, chosen from such areas as point-set topology, linear topological spaces, homotopy theory, homology theory, topological groups and topological dynamics.
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MATH 553 - Topics from Topology
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MATH 561: Real Analysis I
4.00 Credits
Eastern Washington University
WINTER-ODD YEARS Prerequisites: MATH 551. This course presents the concepts of general measure and integration theory including the Lebesque integral and its properties.
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MATH 561 - Real Analysis I
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MATH 562: Real Analysis II
4.00 Credits
Eastern Washington University
SPRING-ODD YEARS Prerequisite: MATH 561. Examines the concept of derivative in a measure theoretic setting, as well as product measures and Fubini's theorem.
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MATH 562 - Real Analysis II
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MATH 573: Topics in Applied Mathematics
4.00 Credits
Eastern Washington University
FALL Prerequisite: Graduate standing or permission of the instructor. The course focuses on the mathematics of applications, depending on the interests of the class and the instructor. This course may be repeated for credit; topics will be specified in the section subtitle.
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MATH 573 - Topics in Applied Mathematics
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MATH 581: Complex Analysis I
4.00 Credits
Eastern Washington University
WINTER-EVEN YEARS Prerequisite: MATH 551. This course establishes the basic properties of holomorphic functions, including complex derivatives, power series, singularities, residues and the general integral formula of Cauchy. In particular, the course proves such classical results as the Fundamental Theorem of Algebra, the Open Mapping Theorem, the Maximum Principle and the theorems of Weierstrass, Montel or Looman-Menchoff. This course also presents examples of elementary conformal mappings, with optional applications to cartography or physics, from geometric or analytic points of view.
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MATH 581 - Complex Analysis I
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MATH 582: Complex Analysis II
4.00 Credits
Eastern Washington University
SPRING-EVEN YEARS Prerequisite: MATH 581. Continues MATH 581 through the proofs of advanced results, such as the general Riemann Mapping Theorem, or properties of the special functions of Riemann and Weierstrass. If time permits, may include application to Algebraic Geometry, Number Theory and Coding or extensions to several complex variables, for example.
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MATH 582 - Complex Analysis II
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MATH 590: Math Methods for Elementary Teachers
5.00 Credits
Eastern Washington University
Prerequisite: Bachelor's degree or permission of instructor. Designed to expose participants to a variety of instructional techniques for teaching mathematics concepts and skills at the K-8 level. Strengths and weaknesses of different techniques, such as lecture demonstration, small-group activities and problem solving are modeled and discussed.
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MATH 590 - Math Methods for Elementary Teachers
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