Introduction to the main concepts of string theory to undergraduates. Since string …
Introduction to the main concepts of string theory to undergraduates. Since string theory is quantum mechanics of a relativistic string, the foundations of the subject can be explained to students exposed to both special relativity (8.033) and basic quantum mechanics (8.05). Subject develops the aspects of string theory and makes it accessible to students familiar with basic electromagnetism (8.02) and statistical mechanics (8.044). This includes the study of D-branes and string thermodynamics. This course introduces string theory to undergraduate and is based upon Prof. Zwiebach's textbook entitled A First Course in String Theory. Since string theory is quantum mechanics of a relativistic string, the foundations of the subject can be explained to students exposed to both special relativity and basic quantum mechanics. This course develops the aspects of string theory and makes it accessible to students familiar with basic electromagnetism and statistical mechanics.
The strong force which bind quarks together is described by a relativistic …
The strong force which bind quarks together is described by a relativistic quantum field theory called quantum chromodynamics (QCD). Subject surveys: The QCD Langrangian, asymptotic freedom and deep inelastic scattering, jets, the QCD vacuum, instantons and the U(1) problem, lattice guage theory, and other phases of QCD.
Study of condensed matter systems where interactions between electrons play an important …
Study of condensed matter systems where interactions between electrons play an important role. Topics vary depending on lecturer but may include low-dimension magnetic and electronic systems, disorder and quantum transport, magnetic impurities (the Kondo problem), quantum spin systems, the Hubbard model and high temperature superconductors. Topics are chosen to illustrate the application of diagrammatic techniques, field theory approaches, and renormalization group methods in condensed matter physics. In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.
Introduces mechanics of rock deformation. Discusses recognition, interpretation, and mechanics of faults, …
Introduces mechanics of rock deformation. Discusses recognition, interpretation, and mechanics of faults, folds, structural features of igneous and metamorphic rocks, and superposed deformations. Introduces regional structural geology and tectonics. Laboratory includes techniques of structural analysis, recognition and interpretation of structures on geologic maps, and construction of interpretive cross sections. Structural geology is the study of processes and products of rock deformation. This course introduces the techniques of structural geology through a survey of the mechanics of rock deformation, a survey of the features and geometries of faults and folds, and techniques of strain analysis. Regional structural geology and tectonics are introduced. Class lectures are supplemented by lab exercises and demonstrations as well as field trips to local outcrops.
The discipline of structural geology studies the architecture of the solid Earth …
The discipline of structural geology studies the architecture of the solid Earth and other planets. Rock deformation patterns are exciting features beacause of their aesthetic beauty and their economic interest to man. Knowledge of the subsurface structure is vital for the success of a variety of engineering and mineral exploration pograms. A thorough understanding of rock structures is essential for strategic planning in the petroleum and mining industry, in construction operations, in waste disposal surveys and for water exploration. Deformation structures in the country rock are important further for locallizing hazard zones, such as potential rockslide masses, ground subsidence, and seismic faults. Research activities concentrate on rock defomation structures in he shallow continental crust.
The Core Mantle Boundary (CMB) represents one of the most important physical …
The Core Mantle Boundary (CMB) represents one of the most important physical and chemical discontinuities of the deep Earth as it separates the solid state, convective lower mantle from the liquid outer core. In this seminar course, we will examine our current understanding of the CMB region from integrated seismological, mineral physics and geodynamical perspectives. Instructors will introduce state-of-the-art methodologies that are employed to characterize the CMB region and relevant papers will be discussed in class. Topics will include CMB detection and topography, D'' anisotropy, seismic velocity anomalies (e.g., ultra-low velocity zones), temperature, chemical reactions, phase relations, and mineral fabrications at the core-mantle boundary. These results will be integrated to address the CMB's fundamental role in both mantle and core dynamics.
Provides a comprehensive introduction to crystalline structure, crystal chemistry, and bonding in …
Provides a comprehensive introduction to crystalline structure, crystal chemistry, and bonding in rock-forming minerals. Introduces the theory relating crystal structure and crystal symmetry to physical properties such as refractive index, elastic modulus, and seismic velocity. Surveys the distribution of silicate, oxide, and metallic minerals in the interiors and on the surfaces of planets, and discusses the processes that led to their formation.
This course focuses on one important engineering application of superconductors - the …
This course focuses on one important engineering application of superconductors - the generation of large-scale and intense magnetic fields. It includes a review of electromagnetic theory; detailed treatment of magnet design and operational issues, including "usable" superconductors, field and stress analyses, magnet instabilities, ac losses and mechanical disturbances, quench and protection, experimental techniques, and cryogenics. The course also examines new high-temperature superconductors for magnets, as well as design and operational issues at high temperatures.
The course offers an introduction to quantitative analysis of geomorphic processes,and examines …
The course offers an introduction to quantitative analysis of geomorphic processes,and examines the interaction of climate, tectonics, and surface processes in the sculpting of Earth's surface.
This course focuses on general methods and strategies for the synthesis of …
This course focuses on general methods and strategies for the synthesis of complex organic molecules. Emphasis is on strategies for stereoselective synthesis, including stereocontrolled synthesis of complex acyclic compounds.
Introduction to quantitative methods and modeling techniques to address key questions in …
Introduction to quantitative methods and modeling techniques to address key questions in modern biology. Overview of quantitative modeling techniques in evolutionary biology, molecular biology and genetics, cell biology and developmental biology. Description of key experiments that validate models. Specific topics include: Evolutionary biology: theoretical models for evolution, evolution in test tube, evolution experiments with viruses and bacteria, complexity and evolution; Molecular biology and genetics: protein design, bioinformatics and genomics, constructing and modeling of genetic networks, control theory and genetic networks; Cell biology: forces and motion, cell motility, signal transduction pathways, chemotaxis and pheromone response; Development biology: pattern formation, self-organization, and models of Drosophila development.
Upon successful completion of this course, students will be able to: * …
Upon successful completion of this course, students will be able to: * Create lumped parameter models (expressed as ODEs) of simple dynamic systems in the electrical and mechanical energy domains * Make quantitative estimates of model parameters from experimental measurements * Obtain the time-domain response of linear systems to initial conditions and/or common forcing functions (specifically; impulse, step and ramp input) by both analytical and computational methods * Obtain the frequency-domain response of linear systems to sinusoidal inputs * Compensate the transient response of dynamic systems using feedback techniques * Design, implement and test an active control system to achieve a desired performance measureMastery of these topics will be assessed via homework, quizzes/exams, and lab assignments.
How does one teach science and engineering at the college level? It …
How does one teach science and engineering at the college level? It can be a daunting question, particularly for newly minted PhDs, but this rather fine course from the OpenCourseWare initiative at MIT offers high-quality suggestions. The site includes a syllabus, calendar, readings, video discussions, assignments, and other related resources. In the Syllabus area, visitors can learn about the basic lesson plans for the course. The Readings area has some great material, including sections on Teaching Equations, Course Design, Lecture Planning and Performing, and Political Barriers To Educational Change. Visitors should look over the Video Discussions area, which includes conversations with Professor Sanjoy Mahajan about the material. Finally, the site includes links to helpful books and other materials that will be most useful for those seeking further edification.
"This participatory seminar focuses on the knowledge and skills necessary for teaching …
"This participatory seminar focuses on the knowledge and skills necessary for teaching science and engineering in higher education. This course is designed for graduate students interested in an academic career, and anyone else interested in teaching. Readings and discussions include: teaching equations for understanding, designing exam and homework questions, incorporating histories of science, creating absorbing lectures, teaching for transfer, the evils of PowerPoint, and planning a course. The subject is appropriate for both novices and those with teaching experience."
First term of a theoretical treatment of the physics of solids. Concept …
First term of a theoretical treatment of the physics of solids. Concept of elementary excitations. Symmetry: translational, rotational, and time-reversal invariances: theory of representations. Energy bands: APW, OPW, pseudopotential and LCAO schemes. Survey of electronic structure of metals, semimetals, semiconductors, and insulators. Excitons. Critical points. Response functions. Interactions in the electron gas.
" This is the second term of a theoretical treatment of the …
" This is the second term of a theoretical treatment of the physics of solids. Topics covered include linear response theory; the physics of disorder; superconductivity; the local moment and itinerant magnetism; the Kondo problem and Fermi liquid theory."
This course is taught in four main parts. The first is a …
This course is taught in four main parts. The first is a review of fundamental thermodynamic concepts (e.g. energy exchange in propulsion and power processes), and is followed by the second law (e.g. reversibility and irreversibility, lost work). Next are applications of thermodynamics to engineering systems (e.g. propulsion and power cycles, thermo chemistry), and the course concludes with fundamentals of heat transfer (e.g. heat exchange in aerospace devices)
This subject deals primarily with equilibrium properties of macroscopic systems, basic thermodynamics, …
This subject deals primarily with equilibrium properties of macroscopic systems, basic thermodynamics, chemical equilibrium of reactions in gas and solution phase, and rates of chemical reactions.
Principles of thermodynamics are used to infer the physical conditions of formation …
Principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. Includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modeling of non-ideal crystalline solutions. Surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle.
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