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Browsing Mathematics (18) - Archived by Issue Date

Research and Teaching Output of the MIT Community

Browsing Mathematics (18) - Archived by Issue Date

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  • Sutherland, Andrew (2013-06)
    This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.
  • Sheffield, Scott (2011-06)
    This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, ...
  • Buehler, Markus; Grossman, Jeffrey (2011-06)
    This subject provides an introduction to modeling and simulation (IM/S), covering continuum methods, atomistic and molecular simulation (e.g. molecular dynamics) as well as quantum mechanics. These tools play an increasingly ...
  • Johnson, Steven G. (2010-12)
    This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson ...
  • Leiserson, Charles; Amarasinghe, Saman (2009-12)
    Modern computing platforms provide unprecedented amounts of raw computational power. But significant complexity comes along with this power, to the point that making useful computations exploit even a fraction of the ...
  • Gomez-Marquez, Jose; Srivastava, Amit; Bardsley, Ryan Scott; Tracey, Brian (2009-06)
    D-Lab Health provides multi-disciplinary approach to global health technology design via guest lectures and a major project based on fieldwork. We will explore the current state of global health challenges and learn how ...
  • Kasimov, Aslan (2009-06)
    This course is about mathematical analysis of continuum models of various natural phenomena. Such models are generally described by partial differential equations (PDE) and for this reason much of the course is devoted to ...
  • Dudley, Richard (2009-06)
    This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, ...
  • Etingof, Pavel (2008-12)
    This is a new course, whose goal is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly ...
  • Panchenko, Dmitry (2008-12)
    This course covers the laws of large numbers and central limit theorems for sums of independent random variables. It also analyzes topics such as the conditioning and martingales, the Brownian motion and the elements of ...
  • Artin, Michael (2008-06)
    This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.
  • Buehler, Markus; Thonhauser, Timo; Radovitzky, Raúl (2008-06)
    This course explores the basic concepts of computer modeling and simulation in science and engineering. We'll use techniques and software for simulation, data analysis and visualization. Continuum, mesoscale, atomistic and ...
  • Mattuck, Arthur (2007-12)
    Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence ...
  • Strang, Gilbert (2007-12)
    This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential ...
  • LinkKelner, Jonathan, 1980- (2007-12)
    Study of an area of current interest in theoretical computer science. Topic varies from term to term.
  • Artin, Michael (2007-12)
    This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.
  • Mikyoung Hur, Vera (2007-06)
    Covers the same material as 18.03 with more emphasis on theory. First order equations, separation, initial value problems. Systems, linear equations, independence of solutions, undetermined coefficients. Singular points ...
  • Minsky, Marvin (2007-06)
    This course is an introduction to a theory that tries to explain how minds are made from collections of simpler processes. The subject treats such aspects of thinking as vision, language, learning, reasoning, memory, ...
  • Panchenko, Dmitry A. (2007-06)
    Laws of large numbers and central limit theorems for sums of independent random variables, conditioning and martingales, Brownian motion and elements of diffusion theory.
  • Persson, Per-Olof (2006-12)
    This course offers an advanced introduction to numerical linear algebra. Topics include direct and iterative methods for linear systems, eigenvalue decompositions and QR/SVD factorizations, stability and accuracy of numerical ...
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