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This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
- Course related:
- AP10005 Physics I
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
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.
- Course related:
- AMA1120 Basic Mathematics II
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Courseware
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Courseware
This online course covers the topic of density and pressure,buoyant force and archimedes' principle, and fluid dynamics.
- Course related:
- AAE3001 Fundamentals of Aerodynamics
- Subjects:
- Aeronautical and Aviation Engineering and Physics
- Keywords:
- Fluid dynamics
- Resource Type:
- Courseware
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Courseware
Probability and statistics help to bring logic to a world replete with randomness and uncertainty. This course will give you the tools needed to understand data, science, philosophy, engineering, economics, and finance. You will learn not only how to solve challenging technical problems, but also how you can apply those solutions in everyday life.With examples ranging from medical testing to sports prediction, you will gain a strong foundation for the study of statistical inference, stochastic processes, randomized algorithms, and other subjects where probability is needed.
- Course related:
- AMA1501 Introduction to Statistics in Business
- Subjects:
- Mathematics and Statistics
- Keywords:
- Probabilities
- Resource Type:
- Courseware
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Courseware
This course is intended for the student interested in understanding and appreciating common biological topics in the study of the smallest units within biology: molecules and cells. Molecular and cellular biology is a dynamic field. There are thousands of opportunities within the medical, pharmaceutical, agricultural, and industrial fields (just to name a few) for a person with a concentrated knowledge of molecular and cellular processes. This course will give you a general introduction to these topics. In addition to preparing for a diversity of career paths, an understanding of molecular and cell biology will help you make sound decisions in your everyday life that can positively impact your diet and health. This course includes the following units: Unit 1: Introduction to Biology Unit 2: Basic Chemistry Unit 3: Biological Molecules Unit 4: Cells and Cell Membranes Unit 5: Enzymes, Metabolism, Cellular Respiration Unit 6: Photosynthesis Unit 7: Cellular Reproduction: Mitosis Unit 8: Cellular Reproduction: Meiosis Unit 9: Mendelian Genetics and Chromosomes Unit 10: Gene Expression
- Course related:
- ABCT1102 General Biology and ABCT2312 Introductory Cell Biology and Biochemistry
- Subjects:
- Biology
- Keywords:
- Cytology Molecular biology
- Resource Type:
- Courseware
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Courseware
By the end of this section, you will be able to:Describe gel electrophoresis. Explain molecular and reproductive cloning Describe uses of biotechnology in medicine and agriculture.
- Resource Type:
- Courseware
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Courseware
How can you tell if harmful bacteria are in your food or water that might make you sick? What you eat or drink can be contaminated with bacteria, viruses, parasites and toxins—pathogens that can be harmful or even fatal. Students learn which contaminants have the greatest health risks and how they enter the food supply. While food supply contaminants can be identified from cultures grown in labs, bioengineers are creating technologies to make the detection of contaminated food quicker, easier and more effective.
- Resource Type:
- Courseware
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Courseware
On the 28th of April 2012 the contents of the English as well as German Wikibooks and Wikipedia projects were licensed under Creative Commons Attribution-ShareAlike 3.0 Unported license. An URI to this license is given in the list of figures on page 175. If this document is a derived work from the contents of one of these projects and the content was still licensed by the project under this license at the time of derivation this document has to be licensed under the same, a similar or a compatible license, as stated in section 4b of the license. The list of contributors is included in chapter Contributors on page 169. The licenses GPL, LGPL and GFDL are included in chapter Licenses on page 179, since this book and/or parts of it may or may not be licensed under one or more of these licenses, and thus require inclusion of these licenses. The licenses of the figures are given in the list of figures on page 175. This PDF was generated by the LATEX typesetting software. The LATEX source code is included as an attachment (source.7z.txt) in this PDF file. To extract the source from the PDF file, we recommend the use of http://www.pdflabs.com/tools/pdftk-the-pdf-toolkit/ utility or clicking the paper clip attachment symbol on the lower left of your PDF Viewer, selecting Save Attachment. After extracting it from the PDF file you have to rename it to source.7z. To uncompress the resulting archive we recommend the use of http://www.7-zip.org/. The LATEX source itself was generated by a program written by Dirk Hünniger, which is freely available under an open source license from http://de.wikibooks.org/wiki/Benutzer:Dirk_Huenniger/wb2pdf. This distribution also contains a configured version of the pdflatex compiler with all necessary packages and fonts needed to compile the LATEX source included in this PDF file.
- Subjects:
- Biology
- Keywords:
- Biology
- Resource Type:
- Courseware
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Courseware
This course is intended for students enrolling for BSc with Education and BEd degrees. Solid state physics forms the backborn of physics. The module has four units: Introduction to solid state physics; Crystal defects and mechanical properties ; Thermal and electrical properties; and Band theory & Optical properties.In the first unit/activity i.e. introduction to solid state physics. The student is expected to explain the atomic structure, describe the various atomic bonds such as ionic bonds and covalent bonds. The learning will also require students to distinguish between crystalline and amorphous solids; polycrystalline and amorphous solids and to explain the production and use of X-ray diffraction. In the second unit i.e. crystal defects and mechanical properties, the learning includes, differentiating between the different types of crystal defects: the point defects (vacancy, interstitials, and substitutional) and dislocations (screw and edge). Here, the student learns that point defects are very localised and are of atomic size, while dislocation is a disorder which extend beyond the volume of one or two atoms. The effects of the defects on mechanical, and electrical properties of these defects are also part of the learning that will take place. In unit three the learning outcomes include definitions of heat capacity, and explanations of variation of heat capacity with temperature based on the classical, Einstein and Debye models. The students will be required to use the free electron theory to explain high thermal and electrical conductivities of metals and also be able to derive and apply the Wiedermann-Frantz law. Finally, in activity four, the expected learning should enable the students to use the band theory to explain the differences between conductors, semiconductors and insulators; explain the differences between intrinsic and extrinsic semiconductors in relation to the role of doping. At the end of it all, the students use the concepts of the interaction of electromagnetic waves (light) with materials to explain optical absorption, reflectivity and transmissivity.
- Subjects:
- Physics
- Keywords:
- Solid state physics
- Resource Type:
- Courseware
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Courseware
The BIIG problem-solving method is unique in that it forces us to concentrate on decoding a real-world word problem completely into meaningful parts and aids us in finding and applying the right formula to easily arrive at the correct solution. As desired, it places less emphasis on the memorization of factual detail and more emphasis on the understanding of concepts. Evidently, this method is beneficial in many ways as it aids students in honing skills in critical thinking, logical approach and attention to detail. As a method for organizing information it helps students avoid errors and sets them on a path to succeed. As long as the numbers are “buddied up” with their units, “identified” by the appropriate variables, “isolated” within the context, and the answer is presented “gourmet”, or explained in terms of the original question, finding a solution to any complex problem will become seamless, understandable and enjoyable. This innovation in science education fosters a passion for learning and serves as a foundation for a new paradigm for problem-solving in any discipline of science worldwide.
- Subjects:
- Physics
- Keywords:
- Problem solving Physics
- Resource Type:
- Courseware
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Courseware
Are you fascinated by Geosciences and willing to take the challenge of predicting the nature and behavior of the Earth subsurface? This is your course! In a voyage through the Earth, Geoscience: the Earth and its Resources will explore the Earth interior and the processes forming mountains and sedimentary basins. You will understand how the sediments are formed, transported, deposited and deformed. You will develop knowledge on the behavior of petroleum and water resources. The course has an innovative approach focusing on key fundamental processes, exploring their nature and quantitative interactions. It will be shown how this acquired knowledge is used to predict the nature and behavior of the Earth subsurface. This is your ideal first step as a future Geoscientists or professional to upgrade your knowledge in the domain of Earth Sciences.
- Subjects:
- Environmental Sciences and Land Surveying and Geo-Informatics
- Keywords:
- Plate tectonics Earth sciences Petroleum -- Geology Geology Hydrology
- Resource Type:
- Courseware
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Courseware
The Geology 1 course is composed of three parts dedicated to 1. general knowledge of the system Earth, 2. tools for the 3D geometric representation of geological objects and 3. methods and techniques for the recognition of fundamental minerals and rocks.
- Subjects:
- Environmental Sciences and Land Surveying and Geo-Informatics
- Keywords:
- Rock mechanics Minerals Earth sciences Geology
- Resource Type:
- Courseware
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Courseware
Are you an engineer, scientist or technician? Are you dealing with measurements or big data, but are you unsure about how to proceed? This is the course that teaches you how to find the best estimates of the unknown parameters from noisy observations. You will also learn how to assess the quality of your results. TU Delft’s approach to observation theory is world leading and based on decades of experience in research and teaching in geodesy and the wider geosciences. The theory, however, can be applied to all the engineering sciences where measurements are used to estimate unknown parameters. The course introduces a standardized approach for parameter estimation, using a functional model (relating the observations to the unknown parameters) and a stochastic model (describing the quality of the observations). Using the concepts of least squares and best linear unbiased estimation (BLUE), parameters are estimated and analyzed in terms of precision and significance. The course ends with the concept of overall model test, to check the validity of the parameter estimation results using hypothesis testing. Emphasis is given to develop a standardized way to deal with estimation problems. Most of the course effort will be on examples and exercises from different engineering disciplines, especially in the domain of Earth Sciences. This course is aimed towards Engineering and Earth Sciences students at Bachelor’s, Master’s and postgraduate level.
- Keywords:
- Observers (Control theory) Mathematical statistics
- Resource Type:
- Courseware
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Courseware
Energy storage will be of major importance when more and more energy is produced using fluctuating renewable sources like wind and solar power. This course concerns two energy storage methods: storage in the form of the artificial fuel hydrogen, and storage in the form of batteries. In the transition to a sustainable-energy future, both hydrogen and batteries will likely play increasingly important roles. Hydrogen has the advantage of effectively limitless scale up potential while batteries have the advantage of high energy efficiency. Methods for sustainable and renewable hydrogen production include solar, wind power, direct photo-electrolysis of water, thermal and nuclear methods as well as biological options. The students will learn about such production methods of hydrogen using renewable energy sources, and separation technologies for clean hydrogen. The application of hydrogen requires cheap, safe, lightweight and easy to handle storage of hydrogen. The course presents current options for storage of hydrogen, including light metal hydrides, large adsorption surface, and nanostructured materials, as well as gaseous and liquid hydrogen storage. It will be explained that the ultimate solution still needs to be found. Students will get an overview of most recent advances and bottlenecks, synthesis and characterization techniques. The electrical energy storage in batteries concerns the principles of (rechargeable) batteries, mainly Li-ion, and the relation of the performance with material properties. The relation between properties at the atomic level with the real life battery performance will be displayed. The principles will be explained in terms of basic electrochemistry and thermodynamics. The course will present recent advantage in the field of Li ion batteries. In addition super-capacitors, allowing fast (dis)charge and based on similar principles, are part of the course.
- Subjects:
- Building Services Engineering, Chemistry, and Environmental Engineering
- Keywords:
- Storage batteries Renewable energy sources Hydrogen as fuel Energy storage Hydrogen -- Storage
- Resource Type:
- Courseware
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Courseware
Companies and governments have to decide upon technological strategies, i.e. which products are to be developed and which processes and infrastructures are required for the future. Several tools to consider technological strategies are dealt with in this course.
- Subjects:
- Technology
- Keywords:
- Sustainable development Technological forecasting Technological innovations -- Forecasting Technological innovations -- Management
- Resource Type:
- Courseware
-
Courseware
This website has been developed as part of the UGC funded projectt, "Supporting and developing students’ English literacy practices in the disciplines” which is funded by the University Grants Committee’s Competitive Funding Scheme on Teaching and Learning for the 2012-2015 triennium. This inter-institutional literacy project aims to examine the provision of English literacy across three broad disciplines in Hong Kong tertiary institutes, namely Social Science, Science and Engineering in the participating institutions that include the Hong Kong Polytechnic University, City University of Hong Kong and the Hong Kong Baptist University. The website consists of a comprehensive support system to help provide a stimulating learning environment for students, content and language teachers. It also aims to help teachers become conversant with disciplinary genres and the linguistic and pedagogical resources suitable in a second language learning environment. The resources on this website will be open to and shared by all tertiary institutions in Hong Kong and beyond.
- Subjects:
- English language
- Keywords:
- Academic writing Technical writing English language -- Study teaching
- Resource Type:
- Courseware
-
Courseware
This website has been developed as part of the UGC funded project, "Supporting and developing students’ English literacy practices in the disciplines” which is funded by the University Grants Committee’s Competitive Funding Scheme on Teaching and Learning for the 2012-2015 triennium. This inter-institutional literacy project aims to examine the provision of English literacy across three broad disciplines in Hong Kong tertiary institutes, namely Social Science, Science and Engineering in the participating institutions that include the Hong Kong Polytechnic University, City University of Hong Kong and the Hong Kong Baptist University. The website consists of a comprehensive support system to help provide a stimulating learning environment for students, content and language teachers. It also aims to help teachers become conversant with disciplinary genres and the linguistic and pedagogical resources suitable in a second language learning environment. The resources on this website will be open to and shared by all tertiary institutions in Hong Kong and beyond.
- Subjects:
- English Language
- Keywords:
- Academic writing Technical writing English language -- Study teaching
- Resource Type:
- Courseware
-
Courseware
Vibrations and waves are everywhere. If you take any system and disturb it from a stable equilibrium, the resultant motion will be waves and vibrations. Think of a guitar string—pluck the string, and it vibrates. The sound waves generated make their way to our ears, and we hear the string’s sound. Our eyes see what’s happening because they receive the electromagnetic waves of the light reflected from the guitar string, so that we can recognize the beautiful sinusoidal waves on the string.
- Subjects:
- Physics
- Keywords:
- Waves Vibration
- Resource Type:
- Courseware
-
Courseware
This course aims to give students the tools and training to recognize convex optimization problems that arise in scientific and engineering applications, presenting the basic theory, and concentrating on modeling aspects and results that are useful in applications. Topics include convex sets, convex functions, optimization problems, least-squares, linear and quadratic programs, semidefinite programming, optimality conditions, and duality theory. Applications to signal processing, control, machine learning, finance, digital and analog circuit design, computational geometry, statistics, and mechanical engineering are presented. Students complete hands-on exercises using high-level numerical software.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex functions Mathematical optimization
- Resource Type:
- Courseware
-
Courseware
Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations
- Resource Type:
- Courseware
-
Courseware
The course is taught using the textbook by T. Apostol, "Calculus" Vol. I Second Edition (1967) and the additional course notes by James Raymond Munkres, Professor of Mathematics, Emeritus.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus Mathematical analysis
- Resource Type:
- Courseware
-
Courseware
This course provides an introduction to continuum mechanics and material modelling of engineering materials based on first energy principles: deformation and strain; momentum balance, stress and stress states; elasticity and elasticity bounds; plasticity and yield design. The overarching theme is a unified mechanistic language using thermodynamics, which allows understanding, modelling and design of a large range of engineering materials.
- Subjects:
- Physics
- Keywords:
- Continuum mechanics Solid state physics Mechanics
- Resource Type:
- Courseware
-
Courseware
This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Courseware
-
Courseware
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.
- Subjects:
- Physics
- Keywords:
- Optics Geometrical optics
- Resource Type:
- Courseware
-
Courseware
This subject deals primarily with the basic principles to understand the structure and reactivity of organic molecules. Emphasis is on substitution and elimination reactions and chemistry of the carbonyl group. The course also provides an introduction to the chemistry of aromatic compounds.
- Subjects:
- Chemistry
- Keywords:
- Carbonyl compounds Molecular structure Chemistry Organic Aromatic compounds
- Resource Type:
- Courseware
-
Courseware
This course is an advanced treatment of biochemical mechanisms that underlie biological processes. Topics include macromolecular machines such as the ribosome, the proteasome, fatty acid synthases as a paradigm for polyketide synthases and non-ribosomal polypeptide synthases, and polymerases. Emphasis will be given to the experimental methods used to unravel how these processes fit into the cellular context as well as the coordinated regulation of these processes.
- Subjects:
- Biochemistry and Biology
- Keywords:
- Biochemistry
- Resource Type:
- Courseware
-
Courseware
The MIT Biology Department core Introductory Biology courses, 7.012, 7.013, 7.014, 7.015, and 7.016 all cover the same core material, which includes the fundamental principles of biochemistry, genetics, molecular biology, and cell biology. The focus of 7.013 is on genomic approaches to human biology, including neuroscience, development, immunology, tissue repair and stem cells, tissue engineering, and infectious and inherited diseases, including cancer.
- Subjects:
- Biology
- Keywords:
- Human biology Biology
- Resource Type:
- Courseware
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Courseware
This seminar will be a scientific exploration of the food we eat and enjoy. Each week we shall have a scientific edible experiment that will explore a specific food topic. This will be a hands-on seminar with mandatory attendance of at least 85%. Topics include, but are not limited to, what makes a good experiment, cheese making, joys of tofu, food biochemistry, the science of spice, what is taste?
- Subjects:
- Chemistry and Food Science
- Keywords:
- Food -- Composition Chemical reactions Science -- Experiments
- Resource Type:
- Courseware
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Courseware
This course is focused on physical understanding of materials processing, and the scaling laws that govern process speed, volume, and material quality. In particular, this course will cover the transport of heat and matter as these topics apply to materials processing.
- Subjects:
- Mechanical Engineering and Materials Science
- Keywords:
- Mass transfer Heat -- Transmission Transport theory Manufacturing processes Fluid mechanics
- Resource Type:
- Courseware
-
Courseware
This course explores cutting-edge neurotechnology that is essential for advances in all aspects of neuroscience, including improvements in existing methods as well as the development, testing and discussion of completely new paradigms. Readings and in-class sessions cover the fields of electrophysiology, light microscopy, cellular engineering, optogenetics, electron microscopy, MRI / fMRI, and MEG / EEG.
- Subjects:
- Biomedical Engineering and Biology
- Keywords:
- Neurotechnology (Bioengineering)
- Resource Type:
- Courseware
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Courseware
This course develops and applies scaling laws and the methods of continuum and statistical mechanics to biomechanical phenomena over a range of length scales, from molecular to cellular to tissue or organ level.
- Subjects:
- Biomedical Engineering and Biology
- Keywords:
- Biomedical engineering Biomechanics
- Resource Type:
- Courseware
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Courseware
Math 679 is a graduate level mathematics course whose purpose is to prove Mazur's theorem (link is external). Mazur's theorem is a well-known and important result, however it is not often taught in classroom settings. The course is divided into three parts: elliptic curves and abelian varieties, moduli of elliptic curves, and proof of Mazur’s theorem.
- Keywords:
- Abelian varieties Curves Algebraic Curves Elliptic
- Resource Type:
- Courseware
-
Courseware
CHEM 216 builds on the experimental approach started in CHEM 211. Students participate in planning exactly what they are going to do in the laboratory by being given general goals and directions that have to be adapted to fit the specific project they will be working on. They use microscale equipment, which requires them to develop manual dexterity and care in working in the laboratory. They also evaluate the results of their experiments by checking for identity and purity using various chromatographic and spectroscopic methods.
- Subjects:
- Laboratory Techniques and Safety and Chemistry
- Keywords:
- Chemical laboratories Chemistry Organic Chemical laboratories -- Technique Organic compounds -- Synthesis
- Resource Type:
- Courseware
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Courseware
The focus of this guided inquiry laboratory is to foster critical thinking that allows students to design, perform, and interpret experiments. In addition, the student acquires technical skills that are required for further advancement in experimental sciences. Although an ability to collect and analyze data in a quantitative manner is developed, the emphasis of the course is to provide a qualitative understanding of the basic concepts of chemistry. This is accomplished by demonstrating that chemical principles are derived from experimental data. The goal is to provide students both with a more accurate picture of the scientific process and with skills that are relevant to solving real life problems.
- Subjects:
- Laboratory Techniques and Safety and Chemistry
- Keywords:
- Chemical laboratories Chemical laboratories -- Technique Chemistry
- Resource Type:
- Courseware
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Courseware
In electrical engineering, solid-state materials and the properties play an essential role. A thorough understanding of the physics of metals, insulators and semiconductor materials is essential for designing new electronic devices and circuits. After short introduction of the IC fabrication process, the course starts with the crystallography. This will be followed by the basic principle of the quantum mechanics, the sold-state physics, band-structure and the relation with electrical properties of the solid-state materials. When the material physics has been throughly understood, the physics of the semiconductor device follows quite naturally and can be understood quickly and efficiently.
- Subjects:
- Physics and Electrical Engineering
- Keywords:
- Semiconductors Solid state physics Matter -- Properties
- Resource Type:
- Courseware
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Courseware
In this nuclear energy course, we will tackle provocative questions such as: -Is nuclear energy a good substitute for fossil fuels to reduce our CO2 emission or not? -Can nuclear reactors operate safely without any harm to the public and environment? -How much nuclear waste is produced and how long does it need to be stored safely? -How can we make nuclear energy clean and more sustainable? -How much are nuclear energy costs? You will learn the physics behind nuclear science, how to gain energy from nuclear fission, how nuclear reactors operate safely, and the life cycle of nuclear fuel: from mining to disposal. In the last part of the course, we will focus on what matters most in the public debate: the economic and social impact of nuclear energy but also the future of energy systems. Practically, we will: -Teach you about nuclear science and technology (radiation and radioactivity, nuclear reactions, nuclear reactors and fuel cycle, economics of nuclear energy, and the sociality aspects) -Show you short videos about the theory and practical implementation of nuclear energy -Stimulate discussion and debate about nuclear energy -Ask you to formulate your own opinion about nuclear energy and its role in society The GENTLE consortium has sponsored and prepared this course. GENTLE is focused on maintaining the current high level of nuclear safety, and developing a highly skilled and well informed nuclear workforce, following the conclusion of the Council of the EU that it “it is essential to maintain in the European Union a high level of training in the nuclear field” to deal with reactor fleet safely, decommission obsolete plants, be involved in new builds where policy dictates, and deal with the legacy and future radioactive wastes.
- Subjects:
- Physics and Electrical Engineering
- Keywords:
- Nuclear engineering Nuclear physics Nuclear energy
- Resource Type:
- Courseware
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Courseware
The focus of this course: - Applications of topology in condensed matter based on bulk-edge correspondence. - Special attention to the most active research topics in topological condensed matter: theory of topological insulators and Majorana fermions, topological classification of “grand ten” symmetry classes, and topological quantum computation - Extensions of topology to further areas of condensed matter, such as photonic and mechanical systems, topological quantum walks, topology in fractionalized systems, driven or dissipative systems.
- Keywords:
- Condensed matter Topology
- Resource Type:
- Courseware
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Courseware
The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include: Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality. Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral. Stochastic evolution equations I: Linear stochastic evolution equations: existence and uniqueness, Hölder regularity. Stochastic integral in Banach spaces II: UMD spaces, decoupling inequalities, Itô stochastic integral. Stochastic evolution equations II: Nonlinear stochastic evolution equations: existence and uniqueness, Hölder regularity.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Stochastic partial differential equations Evolution equations
- Resource Type:
- Courseware
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Courseware
Quantum Information Processing aims at harnessing quantum physics to conceive and build devices that could dramatically exceed the capabilities of today’s “classical” computation and communication systems. In this course, we will introduce the basic concepts of this rapidly developing field.
- Subjects:
- Physics
- Keywords:
- Quantum computing Quantum theory -- Data processing
- Resource Type:
- Courseware
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Courseware
Mesoscopic physics is the area of Solid State physics that covers the transition regime between macroscopic objects and the microscopic, atomic world.The main goal of the course is to introduce the physical concepts underlying the phenomena in this field.
- Subjects:
- Physics
- Keywords:
- Mesoscopic phenomena (Physics)
- Resource Type:
- Courseware
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Courseware
How do populations grow? How do viruses spread? What is the trajectory of a glider? Many real-life problems can be described and solved by mathematical models. In this course, you will form a team with another student and work in a project to solve a real-life problem. You will learn to analyze your chosen problem, formulate it as a mathematical model (containing ordinary differential equations), solve the equations in the model, and validate your results. You will learn how to implement Euler’s method in a Python program. If needed, you can refine or improve your model, based on your first results. Finally, you will learn how to report your findings in a scientific way. This course is mainly aimed at Bachelor students from Mathematics, Engineering and Science disciplines. However it will suit anyone who would like to learn how mathematical modeling can solve real-world problems.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematical models
- Resource Type:
- Courseware
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Courseware
Thermal conductivity, the Wiedemann-Franz law and the collision integral for electron-electron scattering. This course is about the electronic properties of materials and contains lectures about scattering, transport in metals, phonons and superconductivity.
- Subjects:
- Physics
- Keywords:
- Materials -- Electric properties Thermoelectricity Superconductivity
- Resource Type:
- Courseware
-
Courseware
Statistics is the science that turns data into information and information into knowledge. This class covers applied statistical methodology from an analysis-of-data viewpoint. Topics covered include frequency distributions; measures of location; mean, median, mode; measures of dispersion; variance; graphic presentation; elementary probability; populations and samples; sampling distributions; one sample univariate inference problems, and two sample problems; categorical data; regression and correlation; and analysis of variance. Use of computers in data analysis is also explored.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics
- Resource Type:
- Courseware
-
Courseware
This course will show you how to apply simple physics models to the motion of objects, UCI Physics 7C covers the following topics: force, energy, momentum, rotation, and gravity.
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
Mathematica and its applications to linear algebra, differential equations, and complex functions. Fourier series and Fourier transforms. Other topics in integral transforms.
- Subjects:
- Physics and Mathematics and Statistics
- Keywords:
- Physics Mathematical physics
- Resource Type:
- Courseware
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Courseware
This is the third and final course of the Physics 3 series. The course focuses primarily on waves but the concepts of force and energy will continue to be important, as well. Specific topics include waves and sound, optics, quantum concepts, atomic and nuclear physics, and relativity.
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
Second part of the Basic Physics 3 series. This course covers topics such as: fluid mechanics, thermodynamics,electrostatics (including dc circuits), magnetism (including eletromagnetic induction). The course assumes a working knowledge of calculus and trigonometry.
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
Introduction to basic physics. This course will introduce the conceptual and mathematical framework for kinematics and Newtonian dynamics, and also to teach problem solving techniques that are used in Physics. Other topics include: vectors; motion, force, and energy.
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
Have you ever wondered if Superman could really fly? What was Spiderman's spidey sense? How did Wonder Woman's invisible jet work? What does it really mean for something to be a scientific "fact"? Explore how science works and what constitutes "good" science through case studies drawn from a wide spectrum of people's experience, for example superheros, movies, and real world issues such as global warming. The case studies will provide the change to act as science critics as the students develop a better appreciation for science and the scientific method.
- Subjects:
- Physics
- Keywords:
- Science Global warming Superheroes Science in popular culture
- Resource Type:
- Courseware
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Courseware
An overview of the scientific quest to discover life elsewhere in the universe. Topics include the origin of life on Earth, Mars, extra-solar planets, interstellar travel, and extra-terrestrial intelligence.
- Subjects:
- Physics and Cosmology and Astronomy
- Keywords:
- Life on other planets
- Resource Type:
- Courseware
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