This course covers the applications of algebra to combinatorics. Topics include enumeration methods, permutations, partitions, partially ordered sets and lattices, Young tableaux, graph theory, matrix tree theorem, electrical networks, convex polytopes, and more.
This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical and numerical tools used in optical design are emphasized. Graduate students are required to complete assignments with stronger analytical content, and an advanced design project.
This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It introduces large sample theory, asymptotic efficiency of estimates, exponential families, and sequential analysis.
This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem.
Introduction to Astronomy provides a quantitative introduction to the physics of the solar system, stars, the interstellar medium, the galaxy, and the universe, as determined from a variety of astronomical observations and models.
This course provides students with a basic knowledge of structural analysis and design for buildings, bridges and other structures. The course emphasizes the historical development of structural form and the evolution of structural design knowledge, from Gothic cathedrals to long span suspension bridges. Students will investigate the behavior of structural systems and elements through design exercises, case studies, and load testing of models. Students will design structures using timber, masonry, steel, and concrete and will gain an appreciation of the importance of structural design today, with an emphasis on environmental impact of large scale construction.
This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange's equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems.
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Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space. MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication.
This project-based laboratory course provides students with in-depth experience in experimental molecular genetics, using modern methods of molecular biology and genetics to conduct original research. The course is geared towards students (including sophomores) who have a strong interest in a future career in biomedical research. This semester will focus on chemical genetics using _Caenorhabditis elegans_ as a model system. Students will gain experience in research rationale and methods, as well as training in the planning, execution, and communication of experimental biology. **WARNING NOTICE** The experiments described in these materials are potentially hazardous and require a high level of safety training, special facilities and equipment, and supervision by appropriate individuals. You bear the sole responsibility, liability, and risk for the implementation of such safety procedures and measures. MIT shall have no responsibility, liability, or risk for the content or implementation of any of the material presented. [Legal Notice](/terms/)
This course examines the chemical and physical properties of the cell and its building blocks, with special emphasis on the structures of proteins and principles of catalysis, as well as the chemistry of organic / inorganic cofactors required for chemical transformations within the cell. Topics encompass the basic principles of metabolism and regulation in pathways, including glycolysis, gluconeogenesis, fatty acid synthesis / degradation, pentose phosphate pathway, Krebs cycle and oxidative phosphorylation. [](pages/syllabus) ##### Course Format This OCW Scholar course, designed for independent study, is closely modeled on the course taught on the MIT campus. The on-campus course has two types of class sessions: Lectures and recitations. The lectures meet three times each week and recitations meet once a week. In recitations, an instructor or Teaching Assistant elaborates on concepts presented in lecture, working through new examples with student participation, and answers questions. MIT students who take the corresponding residential class typically report an average of 10–15 hours spent each week, including lectures, recitations, readings, homework, and exams. All students are encouraged to supplement the textbooks and readings with their own research. The Scholar course has three major learning units, called Modules. Each module has been divided into a sequence of lecture sessions that include: * Textbook Readings * Lecture Notes or Storyboards * A video by Professor JoAnne Stubbe or Professor John Essigmann * Problem Sets and solutions To help guide your learning, each of these problem sets are accompanied by Problem Solving Videos where Dr. Bogdan Fedeles solves one of the problems from the set.
This course will begin with brief overview of what important current research topics are in oceanography (physical, geological, and biological) and how acoustics can be used as a tool to address them. Three typical examples are climate, bottom geology, and marine mammal behavior. Will then address the acoustic inverse problem, reviewing inverse methods (linear and nonlinear) and the combination of acoustical methods with other measurements as an integrated system. Last part of course will concentrate on specific case studies, taken from current research journals. This course is taught on campus at MIT and with simultaneous video at Woods Hole Oceanographic Institution.
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This course is a survey of principal concepts and methods of fluid dynamics. Topics include mass conservation, momentum, and energy equations for continua; Navier-Stokes equation for viscous flows; similarity and dimensional analysis; lubrication theory; boundary layers and separation; circulation and vorticity theorems; potential flow; introduction to turbulence; lift and drag; surface tension and surface tension driven flows.
5.112 is an introductory chemistry course for students with an unusually strong background in chemistry. Knowledge of calculus equivalent to MIT course 18.01 is recommended. Emphasis is on basic principles of atomic and molecular electronic structure, thermodynamics, acid-base and redox equilibria, chemical kinetics, and catalysis. The course also covers applications of basic principles to problems in metal coordination chemistry, organic chemistry, and biological chemistry.
This course teaches the design of contemporary information systems for biological and medical data. Examples are chosen from biology and medicine to illustrate complete life cycle information systems, beginning with data acquisition, following to data storage and finally to retrieval and analysis. Design of appropriate databases, client-server strategies, data interchange protocols, and computational modeling architectures. Students are expected to have some familiarity with scientific application software and a basic understanding of at least one contemporary programming language (e.g. C, C++, Java, Lisp, Perl, Python). A major term project is required of all students. This subject is open to motivated seniors having a strong interest in biomedical engineering and information system design with the ability to carry out a significant independent project. This course was offered as part of the [Singapore-MIT Alliance](http://web.mit.edu/sma) (SMA) program as course number SMA 5304.
This class examines the relationship between the study of natural history, both domestic and exotic, by Europeans and Americans, and exploration and exploitation of the natural world, focusing on the eighteenth and nineteenth centuries.
Human beings are symbol-making as well as tool-making animals. We understand our world and shape our lives in large part by assigning meanings to objects, beings, and persons; by connecting things together in symbolic patterns; and by creating elaborate forms of symbolic action and narrative. In this introductory subject we consider how symbols are created and structured; how they draw on and give meaning to different domains of the human world; how they are woven into politics, family life, and the life cycle; and how we can interpret them. The semester will be devoted to a number of topics in symbolism. 1. Metaphor and Other Figurative Language 2. The Raw Materials of Symbolism, especially Animals and The Human Body 3. Cosmology and Complex Symbolic Systems 4. Ritual, including Symbolic Curing and Magic 5. Narrative and Life 6. Mythology
This syllabus section provides an overview of the course and information on prerequisites and preparation, goals, components and requirements, deliverables and grading, and acknowledgements.
