Students use provided materials to design and build prototype artificial heart valves. Their functioning is demonstrated using water to simulate the flow of blood through the heart. Upon completion, teams demonstrate their fully functional prototypes to the rest of the class, along with a pamphlet that describes the device and how it works.

Second subject of two-term sequence on modeling, analysis and control of dynamic systems. Kinematics and dynamics of mechanical systems including rigid bodies in plane motion. Linear and angular momentum principles. Impact and collision problems. Linearization about equilibrium. Free and forced vibrations. Sensors and actuators. Control of mechanical systems. Integral and derivative action, lead and lag compensators. Root-locus design methods. Frequency-domain design methods. Applications to case-studies of multi-domain systems.

First of two-term sequence on modeling, analysis and control of dynamic systems. Mechanical translation, uniaxial rotation, electrical circuits and their coupling via levers, gears and electro-mechanical devices. Analytical and computational solution of linear differential equations and state-determined systems. Laplace transforms, transfer functions. Frequency response, Bode plots. Vibrations, modal analysis. Open- and closed-loop control, instability. Time-domain controller design, introduction to frequency-domain control design techniques. Case studies of engineering applications.

This course provides an introduction to the study of environmental phenomena that exhibit both organized structure and wide variability - i.e., complexity. Through focused study of a variety of physical, biological, and chemical problems in conjunction with theoretical models, we learn a series of lessons with wide applicability to understanding the structure and organization of the natural world. Students will also learn how to construct minimal mathematical, physical, and computational models that provide informative answers to precise questions.

Explores the theory and practice of scientific modeling in the context of auditory and speech biophysics. Based principally on seminar-style discussions of the research literature, subject draws on examples from hearing and speech (e.g., cochlear and vocal-fold mechanics) to explore general, meta-theoretical issues that transcend the particular subject matter. Examples include: What is a model? What is the process of model building? What are the different approaches to modeling? What is the relationship between theory and experiment? How are models tested? What constitutes a good model?

Mathematical modeling of complex engineering systems at a level of detail compatible with the design and implementation of modern control systems. Wave-like and diffusive energy transmission systems. Multiport energy storing fields and dissipative fields; consequences of symmetry and asymmetry. Nonlinear mechanics and canonical transformation theory. Examples will include mechanisms, electromechanical transducers, electronic systems, fluid systems, thermal systems, compressible flow processes, chemical processes. This course models multi-domain engineering systems at a level of detail suitable for design and control system implementation. Topics include network representation, state-space models; multi-port energy storage and dissipation, Legendre transforms; nonlinear mechanics, transformation theory, Lagrangian and Hamiltonian forms; and control-relevant properties. Application examples may include electro-mechanical transducers, mechanisms, electronics, fluid and thermal systems, compressible flow, chemical processes, diffusion, and wave transmission.

The primary purpose of this task is to elicit common misconceptions that arise when students try to model situations with linear functions. This task, being multiple choice, could also serve as a quick assessment to gauge a class' understanding of modeling with linear functions.

Modelling is about understanding the nature: our world, ourselves and our work. Everything that we observe has a cause (typically several) and has the effect thereof. The heart of modelling lies in identifying, understanding and quantifying these cause-and-effect relationships.

A model can be treated as a (selective) representation of a system. We create the model by defining a mapping from the system space to the model space, thus we can map system state and behaviour to model state and behaviour. By defining the inverse mapping, we may map results from the study of the model back to the system. In this course, using an overarching modelling paradigm, students will become familiar with several instances of modelling, e.g., mechanics, thermal dynamics, fluid mechanics, etc.

Many children may have heard of black holes and already have the understanding that they are ‘bottomless wells’. If something falls into a black hole, it is impossible for it to escape—even light cannot escape and is swallowed. The lack of light is how black holes get their name. These objects are mysterious and interesting, but they are not easy to explain. This activity will allow children to visualize, and therefore help them decompose, the concepts of space-time and gravity, which are integral to understanding these appealing objects.

In this class, students use data and systems knowledge to build models of complex socio-technical systems for improved system design and decision-making. Students will enhance their model-building skills, through review and extension of functions of random variables, Poisson processes, and Markov processes; move from applied probability to statistics via Chi-squared t and f tests, derived as functions of random variables; and review classical statistics, hypothesis tests, regression, correlation and causation, simple data mining techniques, and Bayesian vs. classical statistics. A class project is required.

Physical and digital design skills are key to practitioners in art, design, and engineering, as well as many other creative professions. Models are essential in architecture. In design practice all kinds of physical scale models and digital models are used side by side.

In this architecture course, you will gain experience that will help and inspire you to advance in your personal and professional development. You will attain skills in a practical way. First, we will focus on sketch models for the early stages of a design process, then we will continue with virtual representations for design communication and finally more precise and detailed models will be used for further development of the ideas.

In the theoretical part of the course, you will learn about many different sorts of models: how architects use these and how they are essential in the design process.

The practical part of the course addresses a number of challenges. In small steps we will guide you through technical and creative difficulties in exciting, playful, and pleasant ways.

How did scientists figure out the structure of atoms without looking at them? Try out different models by shooting light at the atom. Check how the prediction of the model matches the experimental results.

This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.

This class provides an introduction to modern art and theories of modernism and postmodernism. It focuses on the way artists use the tension between fine art and mass culture to mobilize a critique of both. We will examine objects of visual art, including painting, sculpture, architecture, photography, prints, performance and video. These objects will be viewed in their interaction with advertising, caricature, comics, graffiti, television, fashion, folk art, and "primitive" art.

Applications of physics (Newtonian, statistical, and quantum mechanics) to fundamental processes that occur in celestial objects. Includes main-sequence stars, collapsed stars (white dwarfs, neutron stars, and black holes), pulsars, supernovae, the interstellar medium, galaxies, and as time permits, active galaxies, quasars, and cosmology. Observational data discussed. No prior knowledge of astronomy is required.

Physical metallurgy encompasses the relationships between the composition, structure, processing history and properties of metallic materials. In this seminar you'll be introduced to metallurgy in a particularly physical" way. We will do blacksmithing, metal casting, machining, and welding, using both traditional and modern methods. The seminar meets once per week for an evening laboratory session, and once per week for discussion of issues in materials science and engineering that tie in to the laboratory work. Students will begin by completing some specified projects and progress to designing and fabricating one forged and one cast piece."

Students investigate the ways in which ancient technologies six types of simple machines and combinations are used to construct modern buildings. As they work together to solve a design problem (designing and building a modern structure), they brainstorm ideas, decide on a design, and submit it to a design review before acquiring materials to create it (in this case, a mural depicting it). Emphasis is placed on cooperative, creative teamwork and the steps of the engineering design process.

This course analyzes major modern plays featuring works by Shaw, Pirandello, Beckett, Brecht, Williams, Soyinka, Hwang, Churchill, Wilson, Frayn, Stoppard, Deveare Smith, and Kushner. The class particularly considers performance, sociopolitical and aesthetic contexts, and the role of theater in the world of modern multimedia.

Selective survey of Latin American history from the wars of independence at the start of the nineteenth century to the present. Issues studied include: independence and its aftermath, slavery and its abolition, Latin America in the global economy, relations between Latin America and the US, dictatorships and democracies in the twentieth century, and revolution in Mexico, Cuba, and Central America.

A survey of major works of the twentieth century, beginning with Mahler, Schoenberg, Stravinsky, Bartok, and Ives; continuing with Varese, Webern, Hindemith, Prokofiev, among other composers. A general view of the current scene. Description from course home page:This subject covers a specific branch of music history: Western concert music of first sixty years of the twentieth century. Although we will be listening to and studying many pieces (most of the highest caliber) the goal of the course is not solely to build up a repertory of works in our memory (though that is indeed a goal). We will be most concerned with larger questions of continuity and change in music. We will also consider questions of reception, or historiography - that is, the creation of history and our perception of it. Why do we perceive much of this music, so much closer in time to us than Mozart or Beethoven, to be so foreign? Is this music aloof and separate from popular music of the twentieth century or is there a real connection (perhaps hidden)? The subject will continue to follow some topics of central interest to music before 1960, such as serialism and aleatory, beyond the 1960 cutoff. Conversely a few topics which get their start just before 1960 but which flourish later (minimalism, computer music) will be covered only in 21M.263.