Browsing Mathematics (18)  Archived by Issue Date
Now showing items 2140 of 113

15.082J / 6.855J Network Optimization, Spring 2003
(200306)15.082J/6.855J is an Hlevel graduate subject in the theory and practice of network flows and its extensions. Network flow problems form a subclass of linear programming problems with applications to transportation, ... 
18.337J / 6.338J Applied Parallel Computing (SMA 5505), Spring 2003
(200306)Advanced interdisciplinary introduction to modern scientific computing on parallel supercomputers. Numerical topics include dense and sparse linear algebra, Nbody problems, and Fourier transforms. Geometrical topics include ... 
18.366 Random Walks and Diffusion, Spring 2003
(200306)Discrete and continuum modeling of diffusion processes in physics, chemistry, and economics. Topics include central limit theorems, continuoustime random walks, Levy flights, correlations, extreme events, mixing, ... 
18.466 Mathematical Statistics, Spring 2003
(200306)This graduate level mathematics course covers decision theory, estimation, confidence intervals, and hypothesis testing. The course also introduces students to large sample theory. Other topics covered include asymptotic ... 
18.781 Theory of Numbers, Spring 2003
(200306)This course provides an elementary introduction to number theory with no algebraic prerequisites. Topics include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions ... 
18.702 Algebra II, Spring 2003
(200306)More extensive and theoretical than the 18.70018.703 sequence. Experience with proofs helpful. First term: group theory, geometry, and linear algebra. Second term: group representations, rings, ideals, fields, polynomial ... 
18.024 Calculus with Theory II, Spring 2003
(200306)This course is a continuation of 18.014. It covers the same material as 18.02 (Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear ... 
18.311 Principles of Applied Mathematics, Spring 2003
(200306)Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational software. Discussion of computational and modelling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; ... 
15.067 Competitive DecisionMaking and Negotiation, Spring 2003
(200306)This course is centered on twelve negotiation exercises that simulate competitive business situations. Specific topics covered include distributive bargaining (split the pie!), mixed motive bargaining (several issues at ... 
18.01 Single Variable Calculus, Fall 2003
(200312)DIFFERENTIATION AND INTEGRATION OF FUNCTIONS OF ONE VARIABLE, WITH APPLICATIONS. CONCEPTS OF FUNCTION, LIMITS, AND CONTINUITY. DIFFERENTIATION RULES, APPLICATION TO GRAPHING, RATES, APPROXIMATIONS, AND EXTREMUM PROBLEMS. ... 
18.701 Algebra I, Fall 2003
(200312)The Algebra I class covers subjects such as Group Theory, Linear Algebra, and Geometry. In more detail groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups are discussed. 
18.04 Complex Variables with Applications, Fall 2003
(200312)This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, ... 
18.306 Advanced Partial Differential Equations with Applications, Spring 2004
(200406)A comprehensive treatment of the theory of partial differential equations (pde) from an applied mathematics perspective. Equilibrium, propagation, diffusion, and other phenomena. Initial and boundary value problems. Transform ... 
21H.421 Introduction to Environmental History, Spring 2004
(200406)This seminar provides a historical overview of the interactions between people and their environments. Focusing primarily on the experience of Europeans in the period after Columbus, the subject explores the influence of ... 
18.465 Topics in Statistics: Statistical Learning Theory, Spring 2004
(200406)The main goal of this course is to study the generalization ability of a number of popular machine learning algorithms such as boosting, support vector machines and neural networks. Topics include VapnikChervonenkis theory, ... 
18.336 Numerical Methods of Applied Mathematics II, Spring 2004
(200406)Advanced introduction to applications and theory of numerical methods for solution of differential equations, especially of physicallyarising partial differential equations, with emphasis on the fundamental ideas underlying ... 
18.03 Differential Equations, Spring 2004
(200406)Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single firstorder equations, including graphical and numerical methods. ... 
18.103 Fourier Analysis  Theory and Applications, Spring 2004
(200406)18.103 picks up where 18.100B (Analysis I) left off. Topics covered include the theory of the Lebesgue integral with applications to probability, Fourier series, and Fourier integrals. 
18.101 Analysis II, Fall 2004
(200412)Continues 18.100, in the direction of manifolds and global analysis. Differentiable maps, inverse and implicit function theorems, ndimensional Riemann integral, change of variables in multiple integrals, manifolds, ... 
18.303 Linear Partial Differential Equations, Fall 2004
(200412)The classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. Methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. ...