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4434Matlab-based Numerical Methods in Engineering course
http://www.merlot.org/merlot/viewMaterial.htm?id=408017
This web page shows links to lectures for a course on Numerical Methods in Engineering taught by the author in the Spring Semester of 2009. Click on the lecture links for class notes, Matlab scripts and functions, and assignments. Subjects covered: vectors and matrices in Matlab, graphics in Matlab, programming, numerical linear algebra, solution to equations, numerical integration, data fitting, and ordinary differential equations. 12.S990 Quantifying Uncertainty (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884089
The ability to quantify the uncertainty in our models of nature is fundamental to many inference problems in Science and Engineering. In this course, we study advanced methods to represent, sample, update and propagate uncertainty. This is a "hands on" course: Methodology will be coupled with applications. The course will include lectures, invited talks, discussions, reviews and projects and will meet once a week to discuss a method and its applications.14.451 Dynamic Optimization Methods with Applications (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884672
This course focuses on dynamic optimization methods, both in discrete and in continuous time. We approach these problems from a dynamic programming and optimal control perspective. We also study the dynamic systems that come from the solutions to these problems. The course will illustrate how these techniques are useful in various applications, drawing on many economic examples. However, the focus will remain on gaining a general command of the tools so that they can be applied later in other classes.15.053 Optimization Methods in Management Science (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=883913
This course introduces students to the theory, algorithms, and applications of optimization. The optimization methodologies include linear programming, network optimization, integer programming, and decision trees. Applications to logistics, manufacturing, transportation, marketing, project management, and finance. Includes a team project in which students select and solve a problem in practice.15.097 Prediction: Machine Learning and Statistics (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884568
Prediction is at the heart of almost every scientific discipline, and the study of generalization (that is, prediction) from data is the central topic of machine learning and statistics, and more generally, data mining. Machine learning and statistical methods are used throughout the scientific world for their use in handling the "information overload" that characterizes our current digital age. Machine learning developed from the artificial intelligence community, mainly within the last 30 years, at the same time that statistics has made major advances due to the availability of modern computing. However, parts of these two fields aim at the same goal, that is, of prediction from data. This course provides a selection of the most important topics from both of these subjects.18.303 Linear Partial Differential Equations: Analysis and Numerics (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884153
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 equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems.18.337J Parallel Computing (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=883819
This is an advanced interdisciplinary introduction to applied parallel computing on modern supercomputers. It has a hands-on emphasis on understanding the realities and myths of what is possible on the world's fastest machines. We will make prominent use of the Julia Language software project.18.357 Interfacial Phenomena (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=883742
This graduate-level course covers fluid systems dominated by the influence of interfacial tension. The roles of curvature pressure and Marangoni stress are elucidated in a variety of fluid systems. Particular attention is given to drops and bubbles, soap films and minimal surfaces, wetting phenomena, water-repellency, surfactants, Marangoni flows, capillary origami and contact line dynamics.18.S997 Introduction To MATLAB Programming (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=883876
This course is intended to assist undergraduates with learning the basics of programming in general and programming MATLAB® in particular.2.092 Finite Element Analysis of Solids and Fluids I (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884352
This course introduces finite element methods for the analysis of solid, structural, fluid, field, and heat transfer problems. Steady-state, transient, and dynamic conditions are considered. Finite element methods and solution procedures for linear and nonlinear analyses are presented using largely physical arguments. The homework and a term project (for graduate students) involve use of the general purpose finite element analysis program ADINA. Applications include finite element analyses, modeling of problems, and interpretation of numerical results.