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Browsing Mathematics (18) - Archived by Issue Date

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Browsing Mathematics (18) - Archived by Issue Date

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  • 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 ...
  • 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 ...
  • 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, ...
  • 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 ...
  • 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 ...
  • 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 ...
  • LinkKelner, Jonathan, 1980- (2007-12)
    Study of an area of current interest in theoretical computer science. Topic varies from term to term.
  • 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 ...
  • 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 ...
  • Rothman, Daniel (2006-12)
    This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering.
  • Helgason, Sigurdur, 1927- (2006-12)
    The basic properties of functions of one complex variable. Cauchy's theorem, holomorphic and meromorphic functions, residues, contour integrals, conformal mapping. Infinite series and products, the gamma function, the ...
  • Lenzmann, Enno; Albin, Pierre (2006-12)
    Analysis I covers fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and interchange of limit operations.
  • Breslow, Lori (2006-06)
    This seminar focuses on the knowledge and skills necessary for teaching science and engineering in higher education. Topics include: using current research in student learning to improve teaching; developing courses; ...
  • Miller, Haynes; Mattuck, Arthur (2006-06)
    Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary ...
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