This course introduces students to handling electromagnetic theory using vector calculus. This enables students to handle problems that are more complicated than they are used to from their school days. Due to general nature of the mathematics they learn in this course, what they learn here will help them in their future courses like fluid dynamics that use similar mathematics.INTENDED AUDIENCE : 1st & 2nd year B. Tech. in Civil, Mechanical, Aeorospace and B.Sc. Students.PRE-REQUISITES : Nill
This course is a basic to advance introduction for the post graduate students in petrology. Geology is plagued by the problem of in accessibility; they see only the tiny fraction of the rocks that composes the Earth. During the processes of uplift and the erosion on the surface, but their exact place of origin is vague. As a result, a large proportion of our information about earth is indirectly coming from analysis of subsurface materials, geophysical studies, or experiments conducted at variable temperature and pressure. Metamorphic rocks are the most common rock type on Earth, and their study allows us to put constraints on the pressure, stress and temperature conditions in the crust and mantle, and on the bulk composition in these environments. Metamorphism affects rocks in three ways; it changes their mineralogy, it changes their shape, and it can change their composition.In this course we will look at the processes behind metamorphism, the description, and classification of metamorphic rocks, and how to extract information from metamorphic rocks and minerals to determine the conditions under which they formed. Metamorphism means change in form. In geology the term is used to refer to a solid-state recrystallization of earlier igneous, sedimentary, or metamorphic rocks. Such study includes description and classification of rocks as well as interpretation of their origin. Petrology is subdivided into three major rock types: Igneous, sedimentary, and metamorphic. Igneous and metamorphic petrology are combined, due to the similarity of approach and principle involved during their formation. As per the syllabus of UGC based on CBCS, I henceforth use the term metamorphic petrology and thermodynamics is to study metamorphic rocks and their processes of formation within one single paper as basic to advance for the post graduate students.This course deals with the naturally occurring rocks in field as well as laboratory analysis data that provide sufficient information how they occur in the nature. It gives idea of modern petrological theories which are widely accepted for their origin. The course emphasis the petrology which cover the Geology & its Perspective, Career in geology, Structure and classification of the silicate minerals along with Definition of metamorphism, Factors controlling metamorphism, variables / agents and types / kinds of metamorphism – contact, regional, fault zone metamorphism, impact metamorphism. Types and classification based on metamorphic agent. Regional metamorphism and paired metamorphic belts with reference to the theory of plate tectonics. Mineralogical phase rule for closed and open systems, nature of metamorphic reactions, concept and classification of metamorphic facies and facies series, Introduction to ultrahigh temperature and ultrahigh pressure metamorphism. Metamorphic zones, isograde and reaction isograde, Concept of classification of metamorphic facies, facies-series and grade, structure and textures of metamorphic rocks; chemographic projection, graphical representation of metamorphic minerals assemblages; ACF, AKF, AFM and others diagram.Description of each facies of low, medium to high pressure and very high pressure with special reference to characteristic minerals, subdivision into zones / subfacies, mineral assemblages; Metamorphic reactions and pressure – temperature conditions of metamorphism. Regional metamorphism of pelitic, calcareous, basic, and ultra basic rocks and thermal metamorphism of calcareous and pelitic rocks. Schreinemakers rule and construction of petrogenetic grids, metamorphic differentiation, anatexis and origin of migmatites in the light of experimental studies. Laws of thermodynamics; Gibb’s free energy, entropy, ∆G of metamorphic reactions (solid-solid and dehydration reactions); Geothermobarometry and PT paths. Petrographic details of some important metamorphic rocks such as - slate, phyllite, schists, gneiss, quartzite, marble, charnockite, leptynite, khnodalite etc.The course definitely provides better understanding to students for the processes and principles involved during the origin and evolution of the metamorphic rocks. The course contains video, text, assignment; quiz, case studies, references etc and I hope it will be useful for the geology students within and outside India. Last but not least, I highly accept any comments, questions, or suggestion for the improvement of this course.
Observar los fenómenos físicos, medir las variables involucradas y obtener las leyes físicas son la esencia de la Física Experimental. Este MOOC aborda un recorrido por la física general a través de la realización de diez propuestas prácticas sobre mecánica clásica, electromagnetismo y circuitos eléctricos. Está dirigido al alumnado con interés en las ciencias experimentales y la ingeniería y que desee adquirir o perfeccionar habilidades y competencias relacionadas con las técnicas experimentales habituales en los laboratorios de física y materias afines. El contenido del curso comprende un módulo inicial de nociones básicas sobre técnicas experimentales, tratamiento estadístico de los datos y su representación gráfica. Los siguientes módulos se dedican a las experiencias prácticas que, en un primer nivel, se realizan en entornos virtuales y, posteriormente, se recrea su implementación en un laboratorio real para obtener, a partir de los datos experimentales, la ley física del fenómeno observado. Se ha diseñado también un conjunto de test de autoevaluación para reforzar los conocimientos aprendidos. Esperamos que este curso cumpla con las expectativas de todo el alumnado que decida acercarse o ampliar sus conocimientos sobre Física Experimental.
With the gradual acceptance of “path integral” based “string theory” as a strong candidate for unification, knowledge of the nuances of the “path integral” formalism of QFT is indispensable for academic progression in this area. The applications of this versatile concept are also growing by the day, one of the cardinal ones being in pricing of complex financial assets. Scientific risk management by the investor fraternity has become of cardinal necessity for generating competitive returns and surviving in the marketplace. Derivatives have proven to be immensely useful in the management of financial risk. Their vitality can be gauged from the exponential growth in trading volumes as well as the advent of new structured products literally on a day to day basis. Derivatives in petroleum and natural gas industries in the United States are, now, well entrenched, and they are being extensively used in the electricity industry as well. This has called for advent of innovative methods for the pricing of such instruments. With enhanced computing power being accessible, the “path integral formalism” is gradually becoming the method of choice in this context.INTENDED AUDIENCE:The audience would comprise of those desirous of getting acquainted with the intricacies of the path integral formalism and its applications in contemporary physics, (quantum field theory, in particular) and finance (pricing of path dependent and exotic options and other derivatives) and also, appreciating the nuances that have led to the origin and extensive development of this field of knowledge.PREREQUISITES: (i) Basics of classical & quantum mechanics;(ii) Basics of financial derivatives;(iii) Senior school mathematics (algebra, calculus & probability).INDUSTRIES SUPPORT:Path integrals form the basis of QFT computations and as such, proficiency in this area will attract immense demand in research and industrial establishments engaged in activities involving applications of field theoretic methods. This course will also attract immense recognition in the entire financial services industry including banks, stock & commodity exchanges, stock & commodity brokers, portfolio managers, investment bankers, market regulators etc as the newer derivative products with sophisticated features hit the market. The pricing of such products will usually involve a role of path integral methods with the payoff becoming complex functions of paths of underlying prices. Needless to add, Academicians will find it a gateway to further work in related areas.
This is an introductory course in Thermodynamics and is one of the basic subjects to understand interfacial mass transfer and separation processes like distillation, solvent extraction, etc. The course introduces the concepts of chemical potential and fugacity and emphasizes the principles governing equilibrium for single and multicomponent systems. It discusses ideal as well as non-ideal solutions and deals with the entire range of phase miscibility (completely miscible to totally immiscible). There is a well-balanced coverage of physical concepts, mathematical operations along with examples and exercise problems of practical importance. After completion of the course, the students will be able to apply the basic principles of thermodynamics, the laws, and the pertinent equations to engineering design of mass transfer equipment.INTENDED AUDIENCE :Chemical Engg, Mechanical Engg, Chemistry, Biotechnology, Petroleum Refining, Metallurgy, Agriculture EnggPRE-REQUISITES :Basic knowledge of Engineering Thermodynamics desirableINDUSTRY SUPPORT :LIST OF COMPANIES/INDUSTRY THAT WILL RECOGNIZE/VALUE THIS ONLINE COURSE ,Refining and Petrochemical Industry (IOC, HPCL, BPCL etc.), G.A.I.L., O.N.G.C, Shell
This is an introductory course in classical and quantum statistical mechanics which deals with the principle of ensembles, Classical, Fermi and Bose ideal gases, Pauli paramagnestim, Debye and Einstein’s theory of specific heat and the 1D Ising model.INTENDED AUDIENCE: M.Sc. and beginning Ph.D. students and other interested individualsPREREQUISITES: Thermodynamics, Classical mechanics, Quantum mechanics
This course is based on application of quantum mechanics to molecular systems to probe their energy levels. Prior understanding of solutions to the time-independent Schrodinger equation is assumed. The major emphasis of this course is to derive the 'Transition Moment Integral' using semi-classical approach. Further, the relationship between the transition moment integral to experimental observables such as extinction coefficient (from Beet-Lambert law) will evaluated. INTENDED AUDIENCE:Core course for MSc / Elective for PhDPREREQUISITES:Basic understating of Quantum Mechanics / Quantum Chemistry.INDUSTRIES SUPPORT:Not Applicable
In this course, you will learn all about Electricity with numerical examples for CBSE class 10 Physics.
A foundational study of waves and vibrations will prepare learners for advanced courses in physics and related fields of engineering. The skills utilized in analyzing these phenomena are applicable to many different systems because vibrations and waves are so ubiquitous. For instance, learners will understand how the “resonant” modes of a tall building are analogous to simple systems of coupled oscillators. Moreover, learners will come to appreciate that the concept of “resonance” applies not only to systems of masses on springs, but to sound waves, 2D surfaces, atoms, and a wide range of other systems. This course explores many properties that are universal to all wave systems as well as many particular cases.This course will prepare learners to analyze problems that involve mechanical vibrations and waves with such topics as simple harmonic motion, superposition, damping, forced vibrations and resonance, coupled oscillations, normal modes, continuous systems, reflection and refraction, and phase and group velocities. The course also explores electromagnetic waves and various associated properties like polarization, Snell’s law, Huygens’s principle, interference and diffraction. It ends by giving learners a taste of Quantum Mechanics.
ME209.1x is a basic course in thermodynamics, designed for students of mechanical engineering. We will study the terms and concepts used in thermodynamics, with precise definitions. The three laws of thermodynamics (zeroth, first, and second) will be explored in detail, and the properties of materials will be studied. Many useful relations will be derived. The topics include:basic concepts and definitionsthe work interactionthe first law, energy, and the heat interactionthe zeroth law, temperature, and scales of temperatureproperties of gases and liquids, equations of statethe second law, thermodynamic temperature scales, and entropyrelations between propertiesopen thermodynamic systemsThere will be emphasis on problem-solving. Students will need to spend significant effort on solving exercises.The course is designed for students in mechanical engineering. However, others (both engineers and scientists) are likely to find it useful. The course has also been found to be useful to teachers of thermodynamics.Please note that this course is self-paced and you can enroll at any time. At normal pace, this course requires 12 weeks of study, about 10 hours a week.
This college-level, calculus-based Introductory Newtonian Mechanics course covers all of the topics and learning objectives specified in the College Board Course Description for Advanced Placement®Physics C (Mechanics). It covers Newton’s Laws, Kinematics, Energy, Momentum, Rigid Body Rotation, and Angular Momentum. The course covers applications of these basic principles to simple harmonic motion, orbital motion, and to problems that involve more than one basic principle. These principles also underlie the 12 online laboratory activities.Our emphasis is on helping students learn expert-like ways of solving challenging problems, many of which are similar to problems on previous Advanced Placement Examinations in Mechanics C. We stress a key insight: mechanics is about forces changing motion. We apply this concept to organizing the core knowledge in a way that helps students apply it to sophisticated multi-concept problems. We feel this is the best way to prepare students for success not only on the AP Examination but also in other college-level science, technology, engineering and math courses that emphasize problem-solving.If you are a teacher looking to learn better ways to teach your students, or are interested in using some of our MOOC materials in your own classroom—possibly as a private online course for your students—we strongly encourage you to sign up for our teacher’s discussion cohort, a “private discussion room” for teachers to share pedagogical ideas and instructional techniques.To join these discussions, verify yourself as a teacher by clicking this link, and we will enroll you in the teacher’s discussion cohort.FAQHow long is this course?The course consists of 13 weeks of required (graded) material and 2 weeks of optional (ungraded) material. You do not need to complete the optional weeks in order to receive a certificate, but we strongly encourage you to complete these units, especially if you are preparing for the College Board’s AP Physics C: Mechanics exam.Is there a required textbook?You do not need to buy a textbook. A complete eText, including worked-examples and some video lectures, is included in this edX course and is viewable online. If you would like to use a textbook with the course (for example, as a reference), most calculus-level books are suitable. Introductory physics books by Young and Freedman, Halliday, Resnick, & Walker, or Knight are all appropriate (and older editions are fine).My physics is a little rusty. How should I prepare for this course?If you would like to brush-up on basic mechanics skills before taking this course, we recommend the brief warm-up course, On-Ramp to AP Physics C: Mechanics.What if I take a vacation?The course schedule is designed with this in mind! Course content is always released at least 3 weeks ahead of the deadline, providing you with the opportunity for flexibility in scheduling.How are grades assigned?There are five parts of the course that are worth points: (1) Checkpoint problems are incorporated into the reading; (2) most weeks have an interactive lab component; (3) more involved homework problems occur at the end of each week and (4) quizzes at the end of every 1-2 weeks; (5) the course culminates in a final exam. Each category is worth a varying number of points; and you are allowed several attempts on each problem. A final grade of at least 60% is needed for certification; hence you will not have to do every problem.Note: Taking this Course Involves Using Some Experimental MaterialsThe RELATE group that authors and administers this course is a physics education research group. We are dedicated to understanding and improving education, especially online. In one of the only published studies measuring learning in a massive open online course (MOOC), we showed that a previous iteration of this course produced slightly more conceptual learning than a traditionally taught on-campus course. Currently, we are working to find just what caused this learning. In this course, the RELATE group will be comparing learning from different types of online activities that will be administered to randomly assigned sub-groups of course participants. At certain points in the course, new vs. more traditional sequences of activities will be assigned to different sub-groups. We will then use common questions to compare the amount of associated learning. Which group receives the new activities will be switched so that all groups will have some new activities and some traditional ones.Our experimental protocol has been approved by the MIT Committee on Use of Human Subjects. As part of this approval we have the obligation to inform you about these experiments and to assure you that:We will not divulge any information about you that may be identified as yours personally (e.g. a discussion post showing your user name). The grade for obtaining a certificate will be adjusted downwards (from 60%) to compensate if one group has slightly harder materials.Note: By clicking on the “Enroll Now” button, you indicate that you understand that everyone who participates in this course is randomly assigned to one of the sub-groups described above.
El objetivo de este curso es responder a multitud de curiosidades que están relacionadas con la mecánica de fluidos: ¿Cómo se consigue que un balón coja efecto?, ¿Puede un coche de F1 andar por el techo de un túnel? ¿Por qué las pelotas de golf tienen hoyuelos?, ... En este curso se presentarán los principios básicos relacionados con la mecánica de fluidos mediante la experimentación y ejemplos cotidianos.
Theoretical physicist Robbert Dijkgraaf explores how physicists are striving for the long-sought unification of quantum mechanics and general relativity, with string theory being a leading contender.
Course FeaturesVideo lecturesCaptions/transcriptAssignments: problem sets (no solutions)Educator FeaturesInstructor insightsCourse DescriptionThis is the second of a two-semester subject sequence beginning with Atomic and Optical Physics I (8.421) that provides the foundations for contemporary research in selected areas of atomic and optical physics. Topics covered include non-classical states of light–squeezed states; multi-photon processes, Raman scattering; coherence–level crossings, quantum beats, double resonance, superradiance; trapping and cooling-light forces, laser cooling, atom optics, spectroscopy of trapped atoms and ions; atomic interactions–classical collisions, quantum scattering theory, ultracold collisions; and experimental methods.
In this course, you will learn all about Sources of Energy for CBSE class 10 Physics. You will learn about fossil fuel, coal, petroleum, natural gas, thermal power plant, hydro power station, biomass, wind, solar energy, energy from sea, tidal energy, wave energy, ocean energy, nuclear energy, environmental concerns, and lifetime of energy sources.