Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

Develops facility with concepts, language, and analytical tools of economics. Covers microeconomics, macroeconomics, and international trade and payments. Emphasizes integration of theory, data, and judgment in the analysis of corporate decisions and public policy, and in the assessment of changing US and international business environments. Restricted to Sloan Fellows. The fact of scarcity forces individuals, firms, and societies to choose among alternative uses -- or allocations -- of its limited resources. Accordingly, the first part of this summer course seeks to understand how economists model the choice process of individual consumers and firms, and how markets work to coordinate these choices. It also examines how well markets perform this function using the economist's criterion of market efficiency. Overall, this course focuses on microeconomics, with some topics from macroeconomics and international trade. It emphasizes the integration of theory, data, and judgment in the analysis of corporate decisions and public policy, and in the assessment of changing U.S. and international business environments.

Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory. Endorsed by CollegeOpenTextbooks.org.

Laszlo Tisza was Professor of Physics Emeritus at MIT, where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Algebra" taught by Professor Tisza in the Spring of 1976. Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems. The lecture notes came to MIT OpenCourseWare by way of Samuel Gasster, '77 (Course 18), who had taken the course and kept a copy of the lecture notes for his own reference. He dedicated dozens of hours of his own time to convert the typewritten notes into LaTeX files and then publication-ready PDFs. You can read about his motivation for wanting to see these notes published in his Preface below. Professor Tisza kindly gave his permission to make these notes available on MIT OpenCourseWare.

Applied Macro- and International Economics uses case studies to investigate the macroeconomic environment in which firms operate. The first half of the course develops the basic tools of macroeconomic management: monetary, fiscal, and exchange rate policy. The class discusses recent emerging market and financial crises by examining their causes and considering how best to address them and prevent them from recurring in the future. The second half evaluates different strategies of economic development. Topics covered in the second half of this course include growth, the role of debt and foreign aid, and the reliance on natural resources.

Fundamentals of nuclear physics for engineering students. Basic properties of the nucleus and nuclear radiations. Elementary quantum mechanical calculations of bound-state energies and barrier transmission probability. Binding energy and nuclear stability. Interactions of charged particles, neutrons, and gamma rays with matter. Radioactive decays. Energetics and general cross-section behavior in nuclear reactions.

This is a "first course" in the sense that it presumes no previous course in probability. The units are modules taken from the unpublished text: Paul E. Pfeiffer, ELEMENTS OF APPLIED PROBABILITY, USING MATLAB. The units are numbered as they appear in the text, although of course they may be used in any desired order. For those who wish to use the order of the text, an outline is provided, with indication of which modules contain the material.

This course details the quantitative treatment of chemical processes in aquatic systems such as lakes, oceans, rivers, estuaries, groundwaters, and wastewaters. It includes a brief review of chemical thermodynamics that is followed by discussion of acid-base, precipitation-dissolution, coordination, and reduction-oxidation reactions. Emphasis is on equilibrium calculations as a tool for understanding the variables that govern the chemical composition of aquatic systems and the fate of inorganic pollutants.

This 12 session course is designed for the beginning or novice archer and uses recurve indoor target bows and equipment. The purpose of the course is to introduce students to the basic techniques of indoor target archery emphasizing the care and use of equipment, range safety, stance and shooting techniques, scoring and competition.

This class investigates the use of computers in architectural design and construction. It begins with a pre-prepared design computer model, which is used for testing and process investigation in construction. It then explores the process of construction from all sides of the practice: detail design, structural design, and both legal and computational issues.

This is the second undergraduate design studio. It introduces a full range of architectural ideas and issues through drawing exercises, analyses of precedents, and explored design methods. Students will develop design skills by conceptualizing and representing architectural ideas and making aesthetic judgments about building design. Discussions regarding architecture's role in mediating culture, nature and technology will help develop the students' architectural vocabulary.

This studio will investigate the social, programmatic, tectonic and phenomenological performance and character of a student gathering place on the MIT campus. Whether it is simply for socializing or for more specific events, the student gathering place will serve as a refuge from the vigorous educational environment of the Institute, and it will reinforce a critical sense of place" through the almost logical organization of its program. The place will foster a casual discovery of "being": a reflection upon the student's own existence based upon participation in group events and an intellectual attitude toward acting. To create a space that inspires, rather than imposes: such a discovery is the foremost challenge of this studio."

This semester students are asked to transform the Hereshoff Museum in Bristol, Rhode Island, through processes of erasure and addition. Hereshoff Manufacturing was recognized as one of the premier builders of America's Cup racing boats between 1890's and 1930's. The studio however, is about more then the program. It is about land, water, and wind and the search for expressing materially and tectonically the relationships between these principle conditions. That is, where the land is primarily about stasis (docking, anchoring and referencing our locus), water's fluidity holds the latent promise of movement and freedom. Movement is activated by wind, allowing for negotiating the relationship between water and land.

The project for this studio is to design a demonstration project for a site near the French Quarter in New Orleans. The objectives of the project are the following: To design more intense housing, community, educational and commercial facilities in 4 to 6 story buildings. To explore the "space between" buildings as a way of designing and shaping objects. To design at three scales - dwelling, cluster and overall. To design dwellings where the owners may be able to help build and gain a skill for employment. To provide/design facilities that can help the residents to gain education and skills.

Establishes basic attitudes toward architectural organization and its reflection in form. Includes projects where imposed conditions of site, program, and building system emphasize the interrelationship of fundamental elements in the pattern of decision-making that constitutes architectural design. Develops presentations through drawings and models. Intended for entering M.Arch. students. Course Description This studio explores the notion of in-between by engaging several relationships; the relationship between intervention and perception, between representation and notation and between the fixed and the temporal. In the Exactitude in Science, Jorge Luis Borges tells the perverse tale of the one to one scale map, where the desire for precision and power leads to the escalating production of larger and more accurate maps of the territory. For Jean Baudrillard, "The territory no longer precedes the map nor survives it. ĺÉit is the map that precedes the territory... and thus, it would be the territory whose shreds are slowly rotting across the map." The map or the territory, left to ruin-shredding across the 'other', beautifully captures the tension between reality and representation. Mediating between collective desire and territorial surface, maps filter, create, frame, scale, orient, and project. A map has agency. It is not merely representational but operational, the experience and discursive potential of this process lies in the reciprocity between the representation and the real. It is in-between these specific sets of relationships that this studio positions itself.

This class investigates the theory, method, and form of collage. It studies not only the historical precedents for collage and their physical attributes, but the psychology and process that plays a part in the making of them. The class was broken into three parts, changing scales and methods each time, to introduce and study the rigor by which decisions were made in relation to the collage. The class was less about the making of art than the study of the processes by which art is made.

An intensive 9 DAY remote collaborative workshop involving MIT and Miyagi University in Japan. The objective is to develop a small housing project using shape computation as a design methodology. Students will use and test new interactive software for designing, sharing applications with overseas partners, presenting projects on an Internet workspace, and critiquing design proposals through the web and other advanced digital technologies. Students will be expected to do most of their work in class.

This is the second undergraduate architecture design studio, which introduces design logic and skills that enable design thinking, representation, and development. Through the lens of nano-scale machines, technologies, and phenomena, students are asked to explore techniques for describing form, space, and architecture. Exercises encourage various connotations of the "machine" and challenge students to translate conceptual strategies into more integrated design propositions through both digital and analog means.

This architectural studio will have one main project for the semester: to explore the issues surrounding the redesign of an area in Havana Cuba. It is a typical area about the size of a Law of Indies block that presently has a mix of housing, work, and shopping in buildings that need to be replaced and others that need to be rehabilitated. There is also vacant land, and buildings that are unused. Part of the blocks front on the Malecon, the street next to the water. The other edge fronts onto a typical neighborhood. The intention is to study the culture through an understanding of one area of Havana and then design an "echo" in architectural form. The design will include public space as well as a mix of buildings: some new, some rehabilitated.

This subject introduces skills needed to build within a landscape establishing continuities between the built and natural world. Students learn to build appropriately through analysis of landscape and climate for a chosen site, and to conceptualize design decisions through drawings and models.