Courses tagged with "Nutrition" (6413)

The course covers the basic models and solution techniques for problems of sequential decision making under uncertainty (stochastic control). We will consider optimal control of a dynamical system over both a finite and an infinite number of stages. This includes systems with finite or infinite state spaces, as well as perfectly or imperfectly observed systems. We will also discuss approximation methods for problems involving large state spaces. Applications of dynamic programming in a variety of fields will be covered in recitations.

The course addresses dynamic systems, i.e., systems that evolve with time. Typically these systems have inputs and outputs; it is of interest to understand how the input affects the output (or, vice-versa, what inputs should be given to generate a desired output). In particular, we will concentrate on systems that can be modeled by Ordinary Differential Equations (ODEs), and that satisfy certain linearity and time-invariance conditions.

We will analyze the response of these systems to inputs and initial conditions. It is of particular interest to analyze systems obtained as interconnections (e.g., feedback) of two or more other systems. We will learn how to design (control) systems that ensure desirable properties (e.g., stability, performance) of the interconnection with a given dynamic system.

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An introduction to dynamical modeling techniques used in contemporary Systems Biology research.

This course covers the fundamentals of Newtonian mechanics, including kinematics, motion relative to accelerated reference frames, work and energy, impulse and momentum, 2D and 3D rigid body dynamics. The course pays special attention to applications in aerospace engineering including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics. By the end of the semester, students should be able to construct idealized (particle and rigid body) dynamical models and predict model response to applied forces using Newtonian mechanics.

This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems.

This course was originally developed by Professor T. Akylas.

This introductory course has the same rigor as the regular M.I.T. course of the same name, which is one of the first subjects in M.I.T.'s Mechanical Engineering undergraduate curriculum.

In this course, students will learn to analyze and predict the dynamic behavior of objects and systems, their motions and associated forces, and understand mechanical systems of complexity that are representative of engineering practice.  Students will also analyze the kinematics of mechanisms, understand torque and angular momentum in rigid bodies in rotation, and imbalance in rotating systems. Finally students will derive nonlinear equations of motion for a wide variety of mechanical systems, solve them using numerical methods in MATLAB as well as plot and interpret results.

The course combines a unique blend of rigor and realism to produce fundamental skills in an accessible, entertaining format.

Before your course starts, try the new edX Demo where you can explore the fun, interactive learning environment and virtual labs. Learn more.

This is an interactive course about the basic concepts of Systems, Control and their impact in all the human activities. First, the basic concepts of systems, dynamics, structure and control are introduced. Then, looking at many examples in Nature and human made devices, we will realize that the dynamic behavior of most systems can be modified by adding a control system. Later we will see how knowing how to evaluate the dynamic behavior of a system and measure its performance will provide the tools to design new controlled systems fulfilling some requirements.

By considering which are the benefits of control and the challenges for the future we will open the mind to tackle new applications and develop new scenarios from the micro-systems level to the common systems and the whole universe. An overview of the techniques available for a deeper introduction to the subject will be presented at the end.

Control technology is said to be a hidden technology. We do not notice it under normal operation, but it appears if a failure happens. Looking around in Nature and at human made devices, we realize that their behavior presents analogies and that we can manipulate their temporal evolution.

Characterizing the dynamic behavior of systems and the possibility to change it by introducing control devices is the main aim of the course. You will learn to analyze the dynamic properties of a system and the options to change its behavior according to some requirements.You will learn the basic concepts to undertake further studies in control engineering and its use in a variety of disciplines, from human and social sciences to any engineering field. 

This class is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics include kinematics; force-momentum formulation for systems of particles and rigid bodies in planar motion; work-energy concepts; virtual displacements and virtual work; Lagrange's equations for systems of particles and rigid bodies in planar motion; linearization of equations of motion; linear stability analysis of mechanical systems; free and forced vibration of linear multi-degree of freedom models of mechanical systems; and matrix eigenvalue problems. The class includes an introduction to numerical methods and using MATLAB® to solve dynamics and vibrations problems.

This version of the class stresses kinematics and builds around a strict but powerful approach to kinematic formulation which is different from the approach presented in Spring 2007. Our notation was adapted from that of Professor Kane of Stanford University.

This class is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics include kinematics; force-momentum formulation for systems of particles and rigid bodies in planar motion; work-energy concepts; virtual displacements and virtual work; Lagrange's equations for systems of particles and rigid bodies in planar motion; linearization of equations of motion; linear stability analysis of mechanical systems; free and forced vibration of linear multi-degree of freedom models of mechanical systems; and matrix eigenvalue problems. The class includes an introduction to numerical methods and using MATLAB® to solve dynamics and vibrations problems.

This version of the class stresses kinematics and builds around a strict but powerful approach to kinematic formulation which is different from the approach presented in Spring 2007. Our notation was adapted from that of Professor Kane of Stanford University.

Upon successful completion of this course, students will be able to:

• Create lumped parameter models (expressed as ODEs) of simple dynamic systems in the electrical and mechanical energy domains
• Make quantitative estimates of model parameters from experimental measurements
• Obtain the time-domain response of linear systems to initial conditions and/or common forcing functions (specifically; impulse, step and ramp input) by both analytical and computational methods
• Obtain the frequency-domain response of linear systems to sinusoidal inputs
• Compensate the transient response of dynamic systems using feedback techniques
• Design, implement and test an active control system to achieve a desired performance measure

Mastery of these topics will be assessed via homework, quizzes/exams, and lab assignments.

This seminar will focus on dynamical change in biogeochemical cycles accompanying early animal evolution -- beginning with the time of the earliest known microscopic animal fossils (~600 million years ago) and culminating (~100 million years later) with the rapid diversification of marine animals known as the "Cambrian explosion." Recent work indicates that this period of intense biological evolution was both a cause and an effect of changes in global biogeochemical cycles. We will seek to identify and quantify such coevolutionary changes. Lectures and discussions will attempt to unite the perspectives of quantitative theory, organic geochemistry, and evolutionary biology.

This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

This course begins with a study of the role of dynamics in the general physics of the atmosphere, the consideration of the differences between modeling and approximation, and the observed large-scale phenomenology of the atmosphere. Only then are the basic equations derived in rigorous manner. The equations are then applied to important problems and methodologies in meteorology and climate, with discussions of the history of the topics where appropriate. Problems include the Hadley circulation and its role in the general circulation, atmospheric waves including gravity and Rossby waves and their interaction with the mean flow, with specific applications to the stratospheric quasi-biennial oscillation, tides, the super-rotation of Venus' atmosphere, the generation of atmospheric turbulence, and stationary waves among other problems. The quasi-geostrophic approximation is derived, and the resulting equations are used to examine the hydrodynamic stability of the circulation with applications ranging from convective adjustment to climate.

1.464 examines the long term effects of information technology on business strategy in the real estate and construction industry. Considerations include: supply chain, allocation of risk, impact on contract obligations and security, trends toward consolidation, and the convergence of information transparency and personal effectiveness. Resources are drawn from the world of dot.com entrepreneurship and "old economy" responses.

This course will explore how digital cultures and learning cultures connect, and what this means for the ways in which we conduct education online. The course is not about how to ‘do’ e-learning; rather, it is an invitation to view online educational practices through a particular lens – that of popular and digital culture. Follow this course on Twitter at #edcmooc.

This course introduces innovative approaches to learning and teaching, with a focus on the use of e-learning and social web technologies.

The letters of Paul are the earliest texts in the Christian scriptures, written by a Jew at a time when the word “Christian” hadn’t yet been coined. What is the religious and political context into which they emerged? How were they first interpreted? How and why do they make such an enormous impact in Christian communities and in politics today?

Archaeological materials and ancient writings will help you to enter the ancient Mediterranean world and to think about religious groups, power, poverty, health, and the lives of elites and slaves in the Roman Empire. We’ll explore how immediately controversial these letters were, and how these letters are used today to debate relations between Christians and Jews; issues such as love, law, and grace; and topics such as charismatic Christianity, homosexuality, and women’s religious leadership.
 
Whether you’ve been studying Paul’s letters for years or are merely curious about what Christian scriptures are, this course will provide you with information to deepen your understanding of the ancient contexts and present-day controversies about these texts.

Before your course starts, try the new edX Demo where you can explore the fun, interactive learning environment and virtual labs. Learn more.

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This course examines European music from the early Middle Ages until the end of the Renaissance. It includes a chronological survey and intensive study of three topics: chant and its development, music in Italy 1340-1420, and music in Elizabethan England. Instruction focuses on methods and pitfalls in studying music of the distant past. Students' papers, problem sets, and presentations explore lives, genres, and works in depth. Works are studied in facsimile of original notation, and from original manuscripts at MIT, where possible.

Through some of the most celebrated examples of the early Renaissance architecture and the most important statements of the early Renaissance theories, the course will examine problems of the architectural spaces, technology and forms looking to the antiquity in the XV century in Italy.