Continuation of MATH 6210. Department enforced prereq., MATH 6210. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.
Introduces topological and differential manifolds, vector bundles, differential forms, de Rham cohomology, integration, Riemannian metrics, connections and curvature. Department enforced prereqs., MATH 3130 and 4001. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.
Continuation of MATH 6230. Department enforced prereq., MATH 6230. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.
Studies semi-simple Artinian rings, the Jacobson radical, group rings, representations of finite groups, central simple algebras, division rings and the Brauer group. Department enforced prereqs., MATH 6130 and MATH 6140. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.
Focuses on differential geometric techniques in quantum field and string theories. Topics include spinors, Dirac operators, index theorem, anomalies, geometry of superspace, supersymmetric quantum mechanics and field theory, and nonperturbative aspects in field and string theories. Department enforced prereqs., MATH 6230 and MATH 6240 and PHYS 5250 and PHYS 7280. Instructor consent required for undergraduates. Same as PHYS 6260. Requisites: Restricted to graduate students only.
Focuses on differential geometric techniques in quantum field and string theories. Topics include spinors, Dirac operators, index theorem, anomalies, geometry of superspace, supersymmetric quantum mechanics and field theory, and nonperturbative aspects in field and string theories. Recommended prereqs., MATH 6230 and PHYS 5250 and MATH 6240 and PHYS 7280. Same as MATH 6260.
Studies nilpotent and solvable groups, simple linear groups, multiply transitive groups, extensions and cohomology, representations and character theory, and the transfer and its applications. Department enforced prereqs., MATH 6130 and MATH 6140. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.
Covers homotopy theory, spectral sequences, vector bundles, characteristic classes, K-theory and applications to geometry and physics. Department enforced prereq., MATH 6220. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.
Studies categories and functors, abelian categories, chain complexes, derived functors, Tor and Ext, homological dimension, group homology and cohomology. If time permits, the instructor may choose to cover additional topics such as spectral sequences or Lie algebra homology and cohomology. Department enforced prereqs., MATH 6130 and MATH 6140. Requisites: Restricted to graduate students only.
Offers interdisciplinary feminist perspectives on different special topics such as gender and war, gender and globalization, women's social movements, gender and citizenship, gender and collective memory, and cultural representations of gender and sexuality. May be repeated up to 6 total credit hours. Meets the requirements for the WGST certificate. Requisites: Restricted to graduate students only.
Discusses current issues and research in a selected area related to language use and function. Sample topics include conversational interaction, language policy, language content, and sociolinguistic variation. Requisites: Restricted to graduate students only.
Discussions principally concerned with recent literature in organic chemistry. Required of all organic chemistry graduate students. Requisites: Restricted to graduate students only.
Covers interpretation of depositional and diagenetic history of sedimentary rocks as determined from thin-section studies. Department enforced requisite, restricted to graduate students only. Department enforced prereqs., GEOL 3010 and GEOL 3020 and GEOL 3430.
Serves as an advanced introduction to the empirical and theoretical foundations of contemporary sociolinguistic analysis, with special emphasis on linguistic variation, diversity and change. Requisites: Restricted to graduate students only.
Develops the theory of Lebesgue measure and the Lebesgue integral on the line, emphasizing the various notions of convergence and the standard convergence theorems. Applications are made to the classical L^p spaces. Department enforced prereq., MATH 4001. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.
No background in computer science is presumed. Recommended prereq., at least one course at the 3000 level or higher in computer science, linguistics, philosophy, or psychology. Same as CSCI 6402, EDUC 6504, LING 6200, and PSYC 6200. Requisites: Restricted to graduate students only.
Lect. Selected topics in synthetic organic chemistry, encompassing both methods and/or total synthesis of complex molecules. Requisites: Requires prerequisite course of CHEM 5311 (minimum grade B-). Restricted to graduate students only.
Serves as an advanced introduction to the empirical and theoretical foundations of contemporary linguistic anthropology, with special emphasis on the ways in which culture and society emerge semiotically through language and discourse. Same as LING 6320. Requisites: Restricted to graduate students only.
Serves as an advanced introduction to the empirical and theoretical foundations of contemporary linguistic anthropology, with special emphasis on the ways in which culture and society emerge semiotically through language and discourse. Same as ANTH 6320. Requisites: Restricted to graduate students only.
Covers general metric spaces, the Baire Category Theorem, and general measure theory, including the Radon-Nikodym and Fubini theorems. Presents the general theory of differentiation on the real line and the Fundamental Theorem of Lebesgue Calculus. Recommended prereq., MATH 6310. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.
Lect. Selected topics in physical organic chemistry, which may include photochemistry, carbene chemistry, free radical chemistry, molecular orbital methods, organic materials, or gas phase ion chemistry. Requisites: Requires prerequisite course of CHEM 5321 (minimum grade B-). Restricted to graduate students only.
