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Now showing items 51-60 of 101
18.013A Calculus with Applications, Fall 2001
(2001-12)
Differential calculus in one and several dimensions. Java applets and spreadsheet assignments. Vector algebra in 3D, vector- valued functions, gradient, divergence and curl, Taylor series, numerical methods and applications. ...
1.138J / 2.062J / 18.376J Wave Propagation, Fall 2004
(2004-12)
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 ...
18.311 Principles of Applied Mathematics, Spring 2009
(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 ...
18.05 Introduction to Probability and Statistics, Spring 2005
(2005-06)
This course provides an elementary introduction to probability and statistics with applications. Topics include: basic probability models; combinatorics; random variables; discrete and continuous probability distributions; ...
18.785 Analytic Number Theory, Spring 2007
(2007-06)
This course is an introduction to analytic number theory, including the use of zeta functions and L-functions to prove distribution results concerning prime numbers (e.g., the prime number theorem in arithmetic progressions).
18.904 Seminar in Topology, Fall 2005
(2005-12)
In this course, students present and discuss the subject matter with faculty guidance. Topics presented by the students include the fundamental group and covering spaces. Instruction and practice in written and oral ...
18.336 Numerical Methods of Applied Mathematics II, Spring 2004
(2004-06)
Advanced introduction to applications and theory of numerical methods for solution of differential equations, especially of physically-arising partial differential equations, with emphasis on the fundamental ideas underlying ...
18.175 Theory of Probability, Spring 2005
(2005-06)
Laws of large numbers and central limit theorems for sums of independent random variables, conditioning and martingales, Brownian motion and elements of diffusion theory.
18.155 Differential Analysis, Fall 2002
(2002-12)
Fundamental solutions for elliptic, hyperbolic and parabolic differential operators. Method of characteristics. Review of Lebesgue integration. Distributions. Fourier transform. Homogeneous distributions. Asymptotic methods.
18.303 Linear Partial Differential Equations, Fall 2004
(2004-12)
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. ...