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Voice-leading analysis of music 3: the background
The music of Mozart has been used to examine the foreground and middleground of harmony in units AA314_1 and AA314_2. Now you will use Beethoven's Eighth Symphony to consider the largest-scale stage of voice-leading analysis.
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Voice-leading analysis of music 2: the middleground
This unit continues our examination of ‘voice-leading’ or ‘Schenkerian’ analysis, perhaps the most widely-used and discussed method of analysing tonal music. In this unit, this method is explained through the analysis of piano sonatas by Mozart. The unit is the second in the AA314 series of three units ...
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Voice-leading analysis of music 1: the foreground
This unit introduces ‘voice-leading’ or ‘Schenkerian’ analysis, perhaps the most widely-used and discussed method of analyzing tonal music. In this unit, this method is explained through the analysis of piano sonatas by Mozart.The unit is the first in the AA314 series of three units on this form of ...
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6.374 Analysis and Design of Digital Integrated Circuits (MIT)
6.374 examines the device and circuit level optimization of digital building blocks. Topics covered include: MOS device models including Deep Sub-Micron effects; circuit design styles for logic, arithmetic and sequential blocks; estimation and minimization of energy consumption; interconnect models and parasitics; device sizing and logical effort; timing issues (clock skew and jitter) and active clock distribution techniques; memory architectures, circuits (sense amplifiers) and devices; testing
Author(s): Chandrakasan, Anantha

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15.066J System Optimization and Analysis for Manufacturing (MIT)
One objective of 15.066J is to introduce modeling, optimization and simulation, as it applies to the study and analysis of manufacturing systems for decision support. The introduction of optimization models and algorithms provide a framework to think about a wide range of issues that arise in manufacturing systems. The second objective is to expose students to a wide range of applications for these methods and models, and to integrate this material with their introduction to operations managemen
Author(s): Graves, Stephen,Gallien, Jérémie

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15.535 Business Analysis Using Financial Statements (MIT)
The purpose of this class is to advance your understanding of how to use financial information to value and analyze firms. We will apply your economics/accounting/finance skills to problems from today's business news to help us understand what is contained in financial reports, why firms report certain information, and how to be a sophisticated user of this information.
Author(s): Wysocki, Peter

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Sixth-Grade Supplemental Activities --Analysis, Compare, and Contrast
Page at a Time's core materials are designed to be used with either fifth- or sixth-grade students. The sixth-grade activities in this section supplement the core activities. Their purpose is to challenge sixth graders to think in a critical and comparative manner that may be too difficult for fifth graders. Visit www.pageatatime.org to see more about this collection.
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6.253 Convex Analysis and Optimization (MIT)
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theory, using a handful of unifying principles that can be easily visualized and readily understood. The mathematical theory of convex sets and functions is discussed in detail, and is the basis for an intuitive, highly visual, geometrical approach to the subject.
Author(s): Bertsekas, Dimitri

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2.852 Manufacturing Systems Analysis (MIT)
This course deals with the following topics: Models of manufacturing systems, including transfer lines and flexible manufacturing systems; Calculation of performance measures, including throughput, in-process inventory, and meeting production commitments; Real-time control of scheduling; Effects of machine failure, set-ups, and other disruptions on system performance.
Author(s): Gershwin, Stanley

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7.344 RNA Interference: A New Tool for Genetic Analysis and Therapeutics (MIT)
This course is one of many Advanced Undergraduate Seminars offered by the Biology Department at MIT. These seminars are tailored for students with an interest in using primary research literature to discuss and learn about current biological research in a highly interactive setting. To understand and treat any disease with a genetic basis or predisposition, scientists and clinicians need effective ways of manipulating the levels of genes and gene products. Conventional methods for the genetic mo
Author(s): Kissler, Stephane,Ventura, Andrea

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15.010 Economic Analysis for Business Decisions (MIT)
15.010 is the Sloan School's core subject in microeconomics, with sections for non-Sloan students labeled 15.011. Our objective is to give you a working knowledge of the analytical tools that bear most directly on the economic decisions firms must regularly make. We will emphasize market structure and industrial performance, including the strategic interaction of firms. We will examine the behavior of individual markets -- and the producers and consumers that sell and buy in those markets -- in
Author(s): Berndt, Ernst,Doyle, Joseph,Chapman, Michael,Stoke

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12.091 Trace Element Analysis of Geological, Biological & Environmental Materials by Neutron Activat
This course introduces students to the technique of instrumental neutron activation analysis. This is a non-destructive analytical technique for the determination of elemental abundances at trace levels in a wide variety of geological, biological, environmental and industrial samples.
Author(s): Pillalamarri, Ila

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18.330 Introduction to Numerical Analysis (MIT)
This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations and direct and iterative methods in linear algebra.
Author(s): Toomre, Alar

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21A.750J Social Theory and Analysis (MIT)
This course presents a survey of social theory from the 19th century to the present. The focus is on (a) the social grounds from which the theory arises; (b) the utility and limitations of older theories for current conditions; (c) the creation of new theory out of contemporary conditions; (d) sciences and technologies as the infrastructures upon which social institutions depend, are shaped, and shape.
Author(s): Fischer, Michael M.J.

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11.491J Economic Development, Policy Analysis, and Industrialization (MIT)
This class analyzes the theoretical and historical reasons why governments in latecomer countries have intervened with a wide array of policies to foster industrial development at various turning points: the initiation of industrial activity; the diversification of the industrial base; the restructuring of major industrial institutions; and the entry into high-technology sectors.
Author(s): Amsden, Alice

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16.21 Techniques for Structural Analysis and Design (MIT)
This course introduces analysis techniques for complex structures and the role of material properties in structural design, failure, and longevity. Students will learn about the energy principles in structural analysis and their applications to statically-indeterminate structures and solid continua. Additionally, the course will examine matrix and finite-element methods of structured analysis including bars, beams, and two-dimensional plane stress elements. Structural materials and their propert
Author(s): Radovitzky, Raúl

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6.881 Representation and Modeling for Image Analysis (MIT)
Most algorithms in computer vision and image analysis can be understood in terms of two important components: a representation and a modeling/estimation algorithm. The representation defines what information is important about the objects and is used to describe them. The modeling techniques extract the information from images to instantiate the representation for the particular objects present in the scene. In this seminar, we will discuss popular representations (such as contours, level sets,
Author(s): Golland, Polina

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6.041 Probabilistic Systems Analysis and Applied Probability (MIT)
This course is offered both to undergraduates (6.041) and graduates (6.431), but the assignments differ. 6.041/6.431 introduces students to the modeling, quantification, and analysis of uncertainty. Topics covered include: formulation and solution in sample space, random variables, transform techniques, simple random processes and their probability distributions, Markov processes, limit theorems, and elements of statistical inference.
Author(s): Bertsekas, Dimitri,Tsitsiklis, John,Médard, Murie

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18.155 Differential Analysis (MIT)
This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.
Author(s): Melrose, Richard

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2.082 Ship Structural Analysis & Design (13.122) (MIT)
This course is intended for first year graduate students and advanced undergraduates with an interest in design of ships or offshore structures. It requires a sufficient background in structural mechanics. Computer applications are utilized, with emphasis on the theory underlying the analysis. Hydrostatic loading, shear load and bending moment, and resulting primary hull primary stresses will be developed. Topics will include; ship structural design concepts, effect of superstructures and dissim
Author(s): Burke, David

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