Online courses directory (2511)

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. It parallels the combination of theory and applications in Professor Strang’s textbook Introduction to Linear Algebra.

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:

• A complete set of Lecture Videos by Professor Gilbert Strang.
• Summary Notes for all videos along with suggested readings in Prof. Strang's textbook Linear Algebra.
• Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor.
• Problem Sets to do on your own with Solutions to check your answers against when you're done.
• A selection of Java® Demonstrations to illustrate key concepts.
• A full set of Exams with Solutions, including review material to help you prepare.

This course continues the content covered in 18.100 Analysis I. Roughly half of the subject is devoted to the theory of the Lebesgue integral with applications to probability, and the other half to Fourier series and Fourier integrals.

Explores a variety of models and optimization techniques for the solution of airline schedule planning and operations problems. Schedule design, fleet assignment, aircraft maintenance routing, crew scheduling, passenger mix, and other topics are covered. Recent models and algorithms addressing issues of model integration, robustness, and operations recovery are introduced. Modeling and solution techniques designed specifically for large-scale problems, and state-of-the-art applications of these techniques to airline problems are detailed.

This course is offered for graduate students who are interested in the interdisciplinary study of bio-inspired structures. The intent is to introduce students to newly inspired modern advanced structures and their applications. It aims to link traditional advanced composites to bio-inspired structures and to discuss their generic properties. A link between materials design, strength and structural behavior at different levels (material, element, structural and system levels) is made. For each level, various concepts will be introduced. The importance of structural, dynamic, thermodynamic and kinetic theories related to such processing is highlighted. The pedagogy is based on active learning and a balance of guest lectures and hands-on activities.

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.

In this course we examine the relationship between public policy and urban design through readings, discussions, presentations, and papers. We also analyze the ways in which policies shape cities, and investigate how governments implement urban design. Students gain a critical understanding of both the complex system of governance within which urban design occurs and the effective tools available for creative intervention.

The goal of this course is to teach both the fundamentals of nuclear cell biology as well as the methodological and experimental approaches upon which they are based. Lectures and class discussions will cover the background and fundamental findings in a particular area of nuclear cell biology. The assigned readings will provide concrete examples of the experimental approaches and logic used to establish these findings. Some examples of topics include genome and systems biology, transcription, and gene expression.

Studies synthesis of polymeric materials, emphasizing interrelationships of chemical pathways, process conditions, and microarchitecture of molecules produced. Chemical pathways include traditional approaches such as anionic polymerization, radical condensation, and ring-opening polymerizations. Other techniques are discussed, including stable free radical polymerizations and atom transfer free radical polymerizations (ARTP), catalytic approaches to well-defined architectures, and polymer functionalization in bulk and at surfaces. Process conditions include bulk, solution, emulsion, suspension, gas phase, and batch vs. continuous fluidized bed. Microarchitecture includes tacticity, molecular-weight distribution, sequence distributions in copolymers, errors in chains such as branches, head-to-head addition, and peroxide incorporation.

Acknowledgements

The instructor would like to thank Karen Shu and Karen Daniel for their work in preparing material for this course site.

This course presents a rational basis for the preliminary design of motion-sensitive structures. Topics covered include: analytical and numerical techniques for establishing the optimal stiffness distribution, the role of damping in controlling motion, tuned mass dampers, base isolation systems, and active structural control. Examples illustrating the application of the motion-based design paradigm to building structures subjected to seismic excitation are discussed.

International Women’s Voices has several objectives. It introduces students to a variety of works by contemporary women writers from Asia, Africa, the Middle East, Latin America and North America. The emphasis is on non-western writers. The readings are chosen to encourage students to think about how each author’s work reflects a distinct cultural heritage and to what extent, if any, we can identify a female voice that transcends national cultures. In lectures and readings distributed in class, students learn about the history and culture of each of the countries these authors represent. The way in which colonialism, religion, nation formation and language influence each writer is a major concern of this course. In addition, students examine the patterns of socialization of women in patriarchal cultures, and how, in the imaginary world, authors resolve or understand the relationship of the characters to love, work, identity, sex roles, marriage, and politics.

This subject examines the paradoxes of contemporary globalization. Through lectures, discussions and student presentations, we will study the cultural, linguistic, social and political impact of globalization across broad international borders and on specific language communities. We will consider answers to key questions such as: What are the contending definitions of globalization? What are the principal agents of change? How have those agents of change been transformed in our contemporary world? What's new, what's hybrid, and what's traditional? What does it mean to be a world citizen? How can world citizens preserve cultural specificity?

Medieval and early modern Russia stood at the crossroads of Europe and Asia. In this course we will examine some of the native developments and foreign influences which most affected the course of Russian history. Particular topics include the rise of the Kievan State, the Mongol Yoke, the rise of Muscovy, Ivan the Terrible, Peter the Great, relations with Western Europe. How did foreigners perceive Russia? How did those living in the Russian lands perceive foreigners? What social relations were developing between nobility and peasantry, town and country, women and men? What were the relations of each of these groups to the state? How did state formation come about in Kievan and Muscovite Russia? What were the political, religious, economic, and social factors affecting relations between state and society? In examining these questions we will consider a variety of sources including contemporary accounts (both domestic and foreign), legal and political documents, historical monographs and interpretive essays.

This course covers the derivation of symmetry theory; lattices, point groups, space groups, and their properties; use of symmetry in tensor representation of crystal properties, including anisotropy and representation surfaces; and applications to piezoelectricity and elasticity.