Courses

• GRS LI 951: Directed Study in Italian Language and Literature
  Hours arranged.
• GRS LI 952: Directed Study in Italian Language and Literature
  Hours arranged.
• GRS LL 699: Teaching College Languages I
  The goals, contents, and methods of instruction in languages. General teaching-learning issues. Required of all teaching fellows.
• GRS LP 621: Reading Portugu
  
• GRS LS 621: Reading Spanish for Graduate Students
  Designed to prepare graduate students for the Spanish reading exam. Develops a knowledge of the fundamentals of Spanish grammar. Practice in translating passages. No previous knowledge of Spanish required.
• GRS LS 850: Seminar: Topics in Hispanic Literature
  Two topics are offered in Fall 2011. Students may take one or both for credit. A1: Theories of Latin American Audio Cultures. An exploration of different theories of culture and cultural production centering on problems specific to Latin America. A review of ideas regarding culture (written, visual, performed) will lead into reflections on listening in relationship to consciousness and sociability. B1: "Mester de clerecía, the first Spanish school of poetry". Origins and evolution of the mester de clerecía and the unique poetic form it produced. Representation of Christians, Jews, and Moors in the setting of Medieval Spain. Works include Libro de Alexandre, Milagros de Nuestra Señora, and Libro de buen amor.
• GRS LS 951: Directed Study in Arabic Language and Literature
  Hours arranged.
• GRS LS 952: Directed Study in Arabic Language and Literature
  Hours arranged.
• GRS LX 699: Teachng Coll Lx
  
• GRS LX 951: Directed Study: Linguistics
  Directed study in linguistics. Hours arranged.
• GRS LX 952: Directed Study: Linguistics
  Directed study in linguistics. Hours arranged.
• GRS MA 647: Research Methods in Mathematics I
  Methods of mathematical research via prolonged study of one selected mathematical topic. Topics are usually chosen from number theory or combinatorics. Written and oral research presentations.
• GRS MA 648: Research Methods in Mathematics II
  Methods of mathematical reserach via prolonged, directed study of one selected mathematical topic, distinct from that chosen for GRS MA 647. Topics are usually chosen from geometry, number theory, or combinatorics, and may involve open problems. Written and oral research presentation.
• GRS MA 665: Introduction to Modeling and Data Analysis in Neuroscience
  An introduction to the basic techniques of quantifying neural data and developing mathematical models of neural activity. Major focus on computational methods using computer software and graphical methods for model analysis.
• GRS MA 699: Teaching College Mathematics I
  The goals, contents, and methods of instruction in mathematics. General teaching-learning issues. Required of all teaching fellows.
• GRS MA 711: Real Analysis
  Measure theory and integration on measure spaces, specialization to integration on locally compact spaces, and the Haar integral. Lp spaces, duality, and representation theorems. Introduction to Banach and Hilbert spaces, open mapping theorem, spectral theorem for Hermitian operators, and compact and Fredholm operators.
• GRS MA 713: Functions of a Complex Variable I
  The theory of analytic functions. Integral theorems, contour integration, conformal mapping, and analytic continuation.
• GRS MA 717: Functional Analysis I
  Theory of Banach and Hilbert spaces, and Hahn-Banach and separation theorems. Dual spaces. Banach contraction mapping theorem. Reflexivity and Krein-Milman theorem. Operator theory. Brouwer-Schauder fixed-point theorems. Applications to probability, dynamical systems, and applied mathematics.
• GRS MA 721: Differential Topology I
  Differential manifolds, tangent bundles, transversality, winding numbers, and vector bundles.
• GRS MA 722: Differential Topology II
  Intersection theory, Lefschetz fixed point theory, integration on manifolds, vector fields and flows, and Frobenius' theorem.

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