This course covers the complete cycle of designing an ocean system using computational design tools for the conceptual and preliminary design stages. Students complete the projects in teams with each student responsible for a specific subsystem. Lectures cover such topics as hydrodynamics; structures; power and thermal aspects of ocean vehicles; environment, materials, and construction for ocean use; and generation and evaluation of design alternatives. The course focuses on innovative design concepts chosen from high-speed ships, submersibles, autonomous vehicles, and floating and submerged deep-water offshore platforms. Lectures on ethics in engineering practice are included, and instruction and practice in oral and written communication is provided.

The goal of this class is practical: to interrogate, make explicit, and thus to develop the powerful musical intuitions that are at work as you make sense of the music all around you. Reflecting, we will ask how this knowledge develops in ordinary and extraordinary ways.

This course provides rigorous introduction to core microeconomic issues in economic development, focusing on both key theoretical contributions and empirical applications to understand both why some countries are poor and on how markets function differently in poor economies. Topics include human capital (education and health); labor markets; credit markets; land markets; firms; and the role of the public sector.

This course emphasizes dynamic models of growth and development. Topics covered include: migration, modernization, and technological change; static and dynamic models of political economy; the dynamics of income distribution and institutional change; firm structure in developing countries; development, transparency, and functioning of financial markets; privatization; and banks and credit market institutions in emerging markets.
At MIT, this course was team taught by Prof. Robert Townsend, who taught for the first half of the semester, and Prof. Abhijit Banerjee, who taught during the second half. On OCW we are only including materials associated with sessions one through 13, which comprise the first half of the class.

This is an advanced graduate-level seminar that will analyze the effectiveness of development and planning theories from the perspective of practitioners who implement projects and policies based on such theories. The course will be organized around 12 implementation puzzles, which should be considered for re-theorizing both developmental and planning processes.

This is an advanced seminar that will analyze the effectiveness of development and planning theories from the perspective of practitioners who implement projects and policies based on such theories. The ultimate goal is to create new planning sensibilities, which theorize from practice, not the other way around.

This graduate and advanced undergraduate level lecture and literature discussion course covers the current understanding of the molecular mechanisms that regulate animal development. Evolutionary mechanisms are emphasized as well as the discussion of relevant diseases. Vertebrate (mouse, chick, frog, fish) and invertebrate (fly, worm) models are covered. Specific topics include formation of early body plan, cell type determination, organogenesis, morphogenesis, stem cells, cloning, and issues in human development.

This course uses neuroscience methods to study the cognitive development of human infants and children. Case studies draw from research on face recognition, language, executive function, representations of objects, number and theory of mind.

This class surveys developmental entrepreneurship via case examples of both successful and failed businesses and generally grapples with deploying and diffusing products and services through entrepreneurial action. By drawing on live and historical cases, especially from South Asia, Africa, Latin America as well as Eastern Europe, China, and other developing regions, we seek to cover the broad spectrum of challenges and opportunities facing developmental entrepreneurs. Finally, we explore a range of established and emerging business models as well as new business opportunities enabled by developmental technologies developed in MIT labs and beyond.

This course considers molecular control of neural specification, formation of neuronal connections, construction of neural systems, and the contributions of experience to shaping brain structure and function. Topics include: neural induction and pattern formation, cell lineage and fate determination, neuronal migration, axon guidance, synapse formation and stabilization, activity-dependent development and critical periods, development of behavior.

This course examines the role of the engineer as patent expert and as technical witness in court and patent interference and related proceedings. It discusses the rights and obligations of engineers in connection with educational institutions, government, and large and small businesses. It compares various manners of transplanting inventions into business operations, including development of New England and other U.S. electronics and biotechnology industries and their different types of institutions. The course also considers American systems of incentive to creativity apart from the patent laws in the atomic energy and space fields.
Acknowledgment
The instructors would like to thank Joanne Rines and Elijah Ercolino for their efforts in preparing this course.

This course takes a ‘back to the beginning’ view that aims to better understand the end result. What might be the developmental processes that lead to the organization of ‘booming, buzzing confusions’ into coherent visual objects? This course examines key experimental results and computational proposals pertinent to the discovery of objects in complex visual inputs. The structure of the course is designed to get students to learn and to focus on the genre of study as a whole; to get a feel for how science is done in this field.

In this class we will examine how the idea of the city has been “translated” by artists, architects, and other diverse disciplines. We will consider how collaborations between artists and architects might provide opportunities for rethinking / redesigning urban spaces. The class will look specifically at planned cities like Brasilia, Las Vegas, Canberra, and Celebration and compare such tabula rasa designs with the redesign of recyclable urban spaces demonstrated in projects such as Ground Zero, Barcelona 2004, and Boston’s Rose Kennedy Greenway. While the course will involve some reading and discussion, coursework will focus largely on the students’ own projects / interventions that should evolve over the course of the semester.  Of the two weekly class meetings, one will be a group discussion or lecture with the whole class and visiting guests, and the other will be an individual meeting between the student and the instructor to discuss his or her work for the class, including the final project.

The main goal of this course is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis.

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.

In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to the minimal surface equation. Then we study Fourier and harmonic analysis, emphasizing applications of Fourier analysis. We will see some applications in combinatorics / number theory, like the Gauss circle problem, but mostly focus on applications in PDE, like the Calderon-Zygmund inequality for the Laplacian, and the Strichartz inequality for the Schrodinger equation. In the last part of the course, we study solutions to the linear and the non-linear Schrodinger equation. All through the course, we work on the craft of proving estimates.

Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE’s) deal with functions of one variable, which can often be thought of as time.

The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering.
Course Format
This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include:

Lecture Videos by Professor Arthur Mattuck.
Course Notes on every topic.
Practice Problems with Solutions.
Problem Solving Videos taught by experienced MIT Recitation Instructors.
Problem Sets to do on your own with Solutions to check your answers against when you’re done.
A selection of Interactive Java® Demonstrations called Mathlets to illustrate key concepts.
A full set of Exams with Solutions, including practice exams to help you prepare.

Content Development
Haynes Miller 
Jeremy Orloff 
Dr. John Lewis 
Arthur Mattuck

This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature.

Digital Anthropology is a Spring 2003 applied social science and media arts seminar, surveying the blossoming arena of digital-artifact enabled experimental sociology/anthropology. We will emphasize on both (a) Technology Testbeds – systematically deploying research lab prototypes and corporate pre-production products in a sample human organizational population and carefully observing the social consequences, and (b) Sociometrics – using digital artifacts to better observe and measure the complex social reality of interesting human systems.