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121 - 130 of 161 results for: MATH

MATH 259: mirror symmetry

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

MATH 261A: Functional Analysis

Geometry of linear topological spaces. Linear operators and functionals. Spectral theory. Calculus for vector-valued functions. Operational calculus. Banach algebras. Special topics in functional analysis. May be repeated for credit.
Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

MATH 262: Applied Fourier Analysis and Elements of Modern Signal Processing (CME 372)

Introduction to the mathematics of the Fourier transform and how it arises in a number of imaging problems. Mathematical topics include the Fourier transform, the Plancherel theorem, Fourier series, the Shannon sampling theorem, the discrete Fourier transform, and the spectral representation of stationary stochastic processes. Computational topics include fast Fourier transforms (FFT) and nonuniform FFTs. Applications include Fourier imaging (the theory of diffraction, computed tomography, and magnetic resonance imaging) and the theory of compressive sensing.
Terms: Win | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: Candes, E. (PI)

MATH 264: Infinite Dimensional Lie Algebra

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

MATH 266: Computational Signal Processing and Wavelets

Theoretical and computational aspects of signal processing. Topics: time-frequency transforms; wavelet bases and wavelet packets; linear and nonlinear multiresolution approximations; estimation and restoration of signals; signal compression. May be repeated for credit.
Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

MATH 269: Topics in symplectic geometry

May be repeated for credit.
Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

MATH 270: Geometry and Topology of Complex Manifolds

Complex manifolds, Kahler manifolds, curvature, Hodge theory, Lefschetz theorem, Kahler-Einstein equation, Hermitian-Einstein equations, deformation of complex structures. May be repeated for credit.
Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

MATH 271: The H-Principle

The language of jets. Thom transversality theorem. Holonomic approximation theorem. Applications: immersion theory and its generaliazations. Differential relations and Gromov's h-principle for open manifolds. Applications to symplectic geometry. Microflexibility. Mappings with simple singularities and their applications. Method of convex integration. Nash-Kuiper C^1-isometric embedding theorem.
Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

MATH 272: Topics in Partial Differential Equations

Terms: not given this year | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit

MATH 273A: Quantum Mechanics I

Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit
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