Mathematics (18) - Archived
http://hdl.handle.net/1721.1/33995
Mathematics (18)2018-06-18T17:23:42Z18.905 Algebraic Topology, Fall 2006
http://hdl.handle.net/1721.1/115074
18.905 Algebraic Topology, Fall 2006
Lawson, Tyler
This course is a first course in algebraic topology. The emphasis is on homology and cohomology theory, including cup products, Kunneth formulas, intersection pairings, and the Lefschetz fixed point theorem.
2006-12-01T00:00:00Z18.785 Number Theory I, Fall 2016
http://hdl.handle.net/1721.1/114496
18.785 Number Theory I, Fall 2016
Sutherland, Andrew
This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry.
2016-12-01T00:00:00Z2.062J / 1.138J / 18.376J Wave Propagation, Fall 2006
http://hdl.handle.net/1721.1/111950
2.062J / 1.138J / 18.376J Wave Propagation, Fall 2006
Mei, Chiang; Rosales, Rodolfo; Akylas, Triantaphyllos
This course discusses the Linearized theory of wave phenomena in applied mechanics. Examples are chosen from elasticity, acoustics, geophysics, hydrodynamics and other subjects. The topics include: basic concepts, one dimensional examples, characteristics, dispersion and group velocity, scattering, transmission and reflection, two dimensional reflection and refraction across an interface, mode conversion in elastic waves, diffraction and parabolic approximation, radiation from a line source, surface Rayleigh waves and Love waves in elastic media, waves on the sea surface and internal waves in a stratified fluid, waves in moving media, ship wave pattern, atmospheric lee waves behind an obstacle, and waves through a laminated media.
2006-12-01T00:00:00Z18.783 Elliptic Curves, Spring 2015
http://hdl.handle.net/1721.1/111949
18.783 Elliptic Curves, Spring 2015
Sutherland, Andrew
This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.
2015-06-01T00:00:00Z