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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

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

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

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

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

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

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

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 AttributionShareAlike 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/pdftkthepdftoolkit/ 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.7zip.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

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 Xray 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 WiedermannFrantz 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

Courseware
The BIIG problemsolving method is unique in that it forces us to concentrate on decoding a realworld 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 problemsolving in any discipline of science worldwide.
 Subjects:
 Physics
 Keywords:
 Problem solving Physics
 Resource Type:
 Courseware

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 GeoInformatics
 Keywords:
 Plate tectonics Earth sciences Petroleum  Geology Geology Hydrology
 Resource Type:
 Courseware

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 GeoInformatics
 Keywords:
 Rock mechanics Minerals Earth sciences Geology
 Resource Type:
 Courseware

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

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 sustainableenergy 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 photoelectrolysis 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 Liion, 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 supercapacitors, 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

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 20122015 triennium. This interinstitutional 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 20122015 triennium. This interinstitutional 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, leastsquares, 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 handson exercises using highlevel 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: raytracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, waveguiding, Fresnel and Fraunhofer diffraction, image formation, resolution, spacebandwidth 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 nonribosomal 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

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 handson 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

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 cuttingedge 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 inclass 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

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

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 wellknown 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

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

Courseware
In electrical engineering, solidstate 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 soldstate physics, bandstructure and the relation with electrical properties of the solidstate 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

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

Courseware
The focus of this course:  Applications of topology in condensed matter based on bulkedge 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

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, KahaneKhintchine inequality, Anderson’s inequality. Stochastic integration in Banach spaces I: γRadonifying operators, γboundedness, 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

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

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

Courseware
How do populations grow? How do viruses spread? What is the trajectory of a glider? Many reallife 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 reallife 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 realworld problems.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical models
 Resource Type:
 Courseware

Courseware
Thermal conductivity, the WiedemannFranz law and the collision integral for electronelectron 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 analysisofdata 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

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

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

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

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

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

Courseware
An overview of the scientific quest to discover life elsewhere in the universe. Topics include the origin of life on Earth, Mars, extrasolar planets, interstellar travel, and extraterrestrial intelligence.
 Subjects:
 Physics and Cosmology and Astronomy
 Keywords:
 Life on other planets
 Resource Type:
 Courseware

Courseware
Cook's Tour of the universe. Ancient world models. Evidence for universal expansion; the size and age of the universe and how it all began. The longrange future and how to decide the right model. Anthropic principle. Course may be offered online.
 Subjects:
 Physics and Cosmology and Astronomy
 Keywords:
 Cosmology
 Resource Type:
 Courseware

Courseware
In this course, students will learn basic linear algebra necessary to understand the operations regarding derivatives of functions with more than one variable to investigate maximum and minimum values of those functions with economics applications in mind. Students will also see how to solve linear systems and then how to turn them into problems involving matrices, then learn some of the important properties of matrices. This course will focus on topics in linear algebra and multivariable differential calculus suitable for economic applications. Recorded Summer 2013
 Subjects:
 economic applications, matrices, Economics, and Mathematics and Statistics
 Keywords:
 Economics Mathematical
 Resource Type:
 Courseware

Courseware
Math 2B is the second quarter of SingleVariable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Calculus
 Resource Type:
 Courseware

Courseware
UCI Math 2A is the first quarter in SingleVariable Calculus and covers the following topics: Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Calculus
 Resource Type:
 Courseware

Courseware
This PreCalculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Precalculus Trigonometry Algebra
 Resource Type:
 Courseware

Courseware
After reviewing tools from probability, statistics, and elementary differential and partial differential equations, concepts such as hedging, arbitrage, Puts, Calls, the design of portfolios, the derivation and solution of the BlacScholes, and other equations are discussed.
 Subjects:
 Finance and Mathematics and Statistics
 Keywords:
 Business mathematics
 Resource Type:
 Courseware

Courseware
Second introductory course covering basic principles of probability and statistical inference. Topics: Point estimation, interval estimating, and testing hypotheses, Bayesian approaches to inference.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Probabilities Mathematical statistics
 Resource Type:
 Courseware

Courseware
Introductory course covering basic principles of probability and statistical inference. Topics covered in this course: Axiomatic definition of probability, random variables, probability distributions, expectation.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Probabilities Mathematical statistics
 Resource Type:
 Courseware

Courseware
This course is intended for both mathematics and biology undergrads with a basic mathematics background, and consists of an introduction to modeling biological problems using continuous ODE methods (rather than discrete methods as used in 113A). We describe the basic qualitative behavior of dynamical systems in the context of a simple population model and, as time allows, introduce other types of models such as chemical reactions inside the cell or excitable systems leading to oscillations and neuronal signals. Certain topics from linear algebra that are needed for this course are presented as well, so a linear algebra prerequisite is not necessary.
 Subjects:
 Mathematics and Statistics and Biology
 Keywords:
 Biology  Mathematical models
 Resource Type:
 Courseware

Courseware
The composition and circulation of the atmosphere with a focus on explaining the fundamentals of weather and climate. Topics include solar and terrestrial radiation, clouds, and weather patterns.
 Subjects:
 Environmental Sciences
 Keywords:
 Atmosphere Climatology Meteorology
 Resource Type:
 Courseware

Courseware
This is the third quarter course in the organic chemistry series. Topics covered include: Fundamental concepts relating to carbon compounds with emphasis on structural theory and the nature of chemical bonding, stereochemistry, reaction mechanisms, and spectroscopic, physical, and chemical properties of the principal classes of carbon compounds.
 Subjects:
 Chemistry
 Keywords:
 Chemistry Organic
 Resource Type:
 Courseware

Courseware
This is the second quarter of the organic chemistry series. Topics covered include: Fundamental concepts relating to carbon compounds with emphasis on structural theory and the nature of chemical bonding, stereochemistry, reaction mechanisms, and spectroscopic, physical, and chemical properties of the principal classes of carbon compounds.
 Subjects:
 Chemistry
 Keywords:
 Chemistry Organic
 Resource Type:
 Courseware

Courseware
Fundamental concepts relating to carbon compounds with emphasis on structural theory and the nature of chemical bonding, stereochemistry, reaction mechanisms, and spectroscopic, physical, and chemical properties of the principal classes of carbon compounds.
 Subjects:
 Chemistry
 Keywords:
 Chemistry Organic
 Resource Type:
 Courseware

Courseware
This course introduces students to the personal computing software used by chemists for managing and processing of data sets, plotting of graphs, symbolic and numerical manipulation of mathematical equations, and representing chemical reactions and chemical formulas.
 Subjects:
 Chemistry
 Keywords:
 Chemistry  Computer programs Chemistry  Data processing
 Resource Type:
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Courseware
Graduate course in organic spectroscopy. Modern methods used in structure determination of organic molecules. Topics include mass spectrometry; ultraviolet, chiroptical, infrared, and nuclear magnetic resonance spectroscopy.
 Keywords:
 Spectrum analysis Organic compounds  Spectra
 Resource Type:
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Courseware
These videos are part of a 23lecture graduatelevel course titled "Organic Reaction Mechanisms II" taught at UC Irvine by Professor David Van Vranken. Topics include more indepth treatment of mechanistic concepts, kinetics, conformational analysis, computational methods, stereoelectronics, and both solution and enzymatic catalysis.
 Subjects:
 Chemistry
 Keywords:
 Chemistry Organic Chemical kinetics Organic reaction mechanisms
 Resource Type:
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Courseware
Advanced treatment of basic mechanistic principles of modern organic chemistry. Topics include molecular orbital theory, orbital symmetry control of organic reactions, aromaticity, carbonium ion chemistry, free radical chemistry, the chemistry of carbenes and carbanions, photochemistry, electrophilic substitutions, aromatic chemistry.
 Subjects:
 Chemistry
 Keywords:
 Chemistry Organic Physical organic chemistry Organic reaction mechanisms Molecular orbitals
 Resource Type:
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Courseware
Preparatory course for general chemistry.
 Subjects:
 Chemistry
 Keywords:
 Chemistry
 Resource Type:
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Courseware
Topics covered include equilibria, aqueous acidbase equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics.
 Subjects:
 Chemistry
 Keywords:
 Chemistry
 Resource Type:
 Courseware

Courseware
Chem 1B is the second quarter of General Chemistry and covers the following topics: properties of gases, liquids, solids; changes of state; properties of solutions; stoichiometry; thermochemistry; and thermodynamics,
 Subjects:
 Chemistry
 Keywords:
 Chemistry
 Resource Type:
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Courseware
Chem 1A is the first quarter of General Chemistry and covers the following topics: atomic structure; general properties of the elements; covalent, ionic, and metallic bonding; intermolecular forces; mass relationships.
 Subjects:
 Chemistry
 Keywords:
 Chemistry
 Resource Type:
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Courseware
In Chemistry 131C, students will study how to calculate macroscopic chemical properties of systems. This course will build on the microscopic understanding (Chemical Physics) to reinforce and expand your understanding of the basic thermochemistry concepts from General Chemistry (Physical Chemistry.) We then go on to study how chemical reaction rates are measured and calculated from molecular properties. Topics covered include: Energy, entropy, and the thermodynamic potentials; Chemical equilibrium; and Chemical kinetics.
 Subjects:
 Chemistry
 Keywords:
 Thermodynamics Chemical kinetics
 Resource Type:
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Courseware
Principles of quantum mechanics with application to the elements of atomic structure and energy levels, diatomic molecular spectroscopy and structure determination, and chemical bonding in simple molecules.
 Subjects:
 Chemistry
 Keywords:
 Quantum chemistry Molecular structure Statistical mechanics
 Resource Type:
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Courseware
This course provides an introduction to quantum mechanics and principles of quantum chemistry with applications to nuclear motions and the electronic structure of the hydrogen atom. It also examines the Schrödinger equation and study how it describes the behavior of very light particles, the quantum description of rotating and vibrating molecules is compared to the classical description, and the quantum description of the electronic structure of atoms is studied.
 Subjects:
 Chemistry
 Keywords:
 Quantum chemistry
 Resource Type:
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Courseware
Introduction to the basic principles of chemical biology: structures and reactivity; chemical mechanisms of enzyme catalysis; chemistry of signaling, biosynthesis, and metabolic pathways.
 Subjects:
 Chemistry and Biology
 Keywords:
 Chemistry Organic Biochemistry
 Resource Type:
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Courseware
This is a 28lecture junior/seniorlevel undergraduatelevel course titled "Advanced Organic Chemistry" taught at UC Irvine by Professor James S. Nowick. The course builds upon the concepts and skills learned in a typical yearlong sophomorelevel organic chemistry class. Topics include: The Chemical Literature and Databases; Stereochemistry and Structural Organic Chemistry; Synthetic Organic Chemistry; Mechanistic and Physical Organic Chemistry; NMR Spectroscopy. The course follows closely to the textbook Intermediate Organic Chemistry, 3rd edition, by Ann M. Fabirkiewicz and John C. Stowell. The course website is: https://eee.uci.edu/16s/40914/ Any questions or concerns regarding this class, please email: jsnowick@uci.edu.
 Subjects:
 Chemistry
 Keywords:
 Chemistry Organic
 Resource Type:
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Courseware
This course is an introduction to modern inorganic chemistry. Topics include principles of structure, bonding, and chemical reactivity with application to compounds of the main group and transition elements, including organometallic chemistry.
 Subjects:
 Chemistry
 Keywords:
 Chemistry Inorganic
 Resource Type:
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Courseware
Each quarter is devoted to current topics in the field of Earth System Science. Topics addressed vary each quarter. For this course, topics discussed include: climate change, biodiversity, demographics, transportation and urban systems, costbenefit analysis, negative impacts on the environment, environmental policy, and sustainability.
 Subjects:
 Environmental Sciences
 Keywords:
 Climatic changes Earth sciences
 Resource Type:
 Courseware

Courseware
In recent decades we have observed a significant reduction of the cryosphere due to anthropogenic climate change. The observed and predicted changes in the extent and amount of snow and ice will have major impacts on climate, ecosystems and human populations both at a local and global scale. This course will introduce students to the science behind climate change as well as the physical and chemical processes that govern components of the cryosphere, including snow, permafrost, sea ice, glaciers and ice sheets. Particular emphasis will be placed on the important role that each component plays in the larger climate system and potential feedbacks. We will also examine some of the social, economic and political impacts that the melting cryosphere will have on countries around the Arctic and also worldwide, such as access to new petroleum reserves, infrastructure damage due to melting permafrost, sea level rise and decreases in freshwater availability.
 Subjects:
 Environmental Sciences
 Keywords:
 Cryosphere Climatic changes
 Resource Type:
 Courseware

Courseware
This course introduces Earth System Science, which, at its core, involves viewing Earth’s environment in a holistic fashion. Topics covered in the course include: the origin and evolution of the Earth, its atmosphere, and oceans, from the perspective of biogeochemical cycles, energy use, and human impacts on the Earth system.
 Subjects:
 Environmental Sciences
 Keywords:
 Earth sciences
 Resource Type:
 Courseware

Courseware
An introduction to Einstein’s theory of gravitation. Tensor analysis, Einstein’s field equations, astronomical tests of Einstein’s theory, gravitational waves.
 Subjects:
 Physics
 Keywords:
 Gravitation General relativity (Physics) Einstein Albert 18791955
 Resource Type:
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Courseware
Antibodies, antigens, antigenantibody reactions, cells and tissues of lymphoreticular and hematopoietic systems, and individual and collective components of cellmediated and humoral immune response,
 Subjects:
 Biology
 Keywords:
 Hematology Immunology
 Resource Type:
 Courseware

Courseware
Cell biology, biochemistry, genetics, and the biology of organ systems, Covers concepts of building blocks (nucleotides, amino acids, and cells) and of information flow (DNA to proteins, receptors to nuclei, the blood to distant organs, and DNA to offspring)
 Subjects:
 Biology
 Keywords:
 DNA Biochemistry Cytology Biology
 Resource Type:
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Courseware
Patterns of diversity, ecology, and evolutionary biology. Emphasis is on the Tree of Life and how its members are distributed and interact. Partial Course.
 Subjects:
 Biology
 Keywords:
 Biodiversity Ecology Evolution (Biology)
 Resource Type:
 Courseware

Courseware
This course is an introduction to principles and techniques of visual communication, and provides opportunities for science and engineering majors to acquire practical skills in the visual computer arts, in a studio environment. Students will learn how to create graphics for print and web, animations, and interactive media, and how to use these techniques to effectively communicate scientific and engineering concepts for learning and teaching. This class involves three handson creative projects, which will be presented in class.
 Subjects:
 Computing and Visualisation
 Keywords:
 Information visualization
 Resource Type:
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Courseware
This course provides a rigorous treatment of noncooperative solution concepts in game theory, including rationalizability and Nash, sequential, and stable equilibria. It covers topics such as epistemic foundations, higher order beliefs, bargaining, repeated games, reputation, supermodular games, and global games. It also introduces cooperative solution concepts—Nash bargaining solution, core, Shapley value—and develops corresponding noncooperative foundations.
 Subjects:
 Economics and Mathematics and Statistics
 Keywords:
 Game theory
 Resource Type:
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Courseware
8.06 is the third course in the threesequence physics undergraduate Quantum Mechanics curriculum. By the end of this course, you will be able to interpret and analyze a wide range of quantum mechanical systems using both exact analytic techniques and various approximation methods. This course will introduce some of the important model systems studied in contemporary physics, including twodimensional electron systems, the fine structure of Hydrogen, lasers, and particle scattering.
 Subjects:
 Physics
 Keywords:
 Quantum theory
 Resource Type:
 Courseware

Courseware
This is the first course in the undergraduate Quantum Physics sequence. It introduces the basic features of quantum mechanics. It covers the experimental basis of quantum physics, introduces wave mechanics, Schrödinger's equation in a single dimension, and Schrödinger's equation in three dimensions. This presentation of 8.04 by Barton Zwiebach (2016) differs somewhat and complements nicely the presentation of Allan Adams (2013). Adams covers a larger set of ideas; Zwiebach tends to go deeper into a smaller set of ideas, offering a systematic and detailed treatment. Adams begins with the subtleties of superpostion, while Zwiebach discusses the surprises of interactionfree measurements. While both courses overlap over a sizable amount of standard material, Adams discussed applications to condensed matter physics, while Zwiebach focused on scattering and resonances. The different perspectives of the instructors make the problem sets in the two courses rather different.
 Subjects:
 Physics
 Keywords:
 Quantum theory
 Resource Type:
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Courseware
6.453 Quantum Optical Communication is one of a collection of MIT classes that deals with aspects of an emerging field known as quantum information science. This course covers Quantum Optics, SingleMode and TwoMode Quantum Systems, MultiMode Quantum Systems, Nonlinear Optics, and Quantum System Theory.
 Subjects:
 Electronic and Information Engineering and Physics
 Keywords:
 Quantum optics Quantum theory Nonlinear optics
 Resource Type:
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Courseware
This course discusses theoretical concepts and analysis of wave problems in science and engineering. Examples are chosen from elasticity, acoustics, geophysics, hydrodynamics, blood flow, nondestructive evaluation, and other applications.
 Subjects:
 Mechanical Engineering and Physics
 Keywords:
 Wave mechanics Wavemotion Theory of
 Resource Type:
 Courseware

Courseware
Provides students with the basic tools for analyzing experimental data, properly interpreting statistical reports in the literature, and reasoning under uncertain situations. Topics organized around three key theories: Probability, statistical, and the linear model. Probability theory covers axioms of probability, discrete and continuous probability models, law of large numbers, and the Central Limit Theorem. Statistical theory covers estimation, likelihood theory, Bayesian methods, bootstrap and other Monte Carlo methods, as well as hypothesis testing, confidence intervals, elementary design of experiments principles and goodnessoffit. The linear model theory covers the simple regression model and the analysis of variance. Places equal emphasis on theory, data analyses, and simulation studies.
 Subjects:
 Mathematics and Statistics and Biology
 Keywords:
 Statistics Cognitive science
 Resource Type:
 Courseware

Courseware
With the growing availability and lowering costs of genotyping and personal genome sequencing, the focus has shifted from the ability to obtain the sequence to the ability to make sense of the resulting information. This course is aimed at exploring the computational challenges associated with interpreting how sequence differences between individuals lead to phenotypic differences in gene expression, disease predisposition, or response to treatment.
 Subjects:
 Computing and Biology
 Keywords:
 Genomics Genomes
 Resource Type:
 Courseware

Courseware
The aim of this class is to introduce the exciting and often under appreciated discoveries in RNA biology by exploring the diversity of RNAs—encompassing classical molecules such as ribosomal RNAs (rRNAs), transfer RNAs (tRNAs) and messenger RNAs (mRNAs) as well as newer species, such as microRNAs (miRNAs), longnoncoding RNAs (lncRNAs), and circular RNAs (circRNAs). For each new class of RNA, we will evaluate the evidence for its existence as well as for its proposed function. Students will develop both a deep understanding of the field of RNA biology and the ability to critically assess new papers in this fastpaced field. This course is one of many Advanced Undergraduate Seminars offered by the Biology Department at MIT. These seminars are tailored for students with an interest in using primary research literature to discuss and learn about current biological research in a highly interactive setting. Many instructors of the Advanced Undergraduate Seminars are postdoctoral scientists with a strong interest in teaching.
 Subjects:
 Biology
 Keywords:
 RNA
 Resource Type:
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Courseware
In this course, we will investigate the diverse types and functions of different RNA species, with a focus on "noncoding RNAs," i.e. those that do not directly encode proteins. The course will convey both the exciting discoveries in and frontiers of RNA research that are propelling our understanding of cell biology as well as the intellectual and experimental approaches responsible. The molecular biology revolution firmly established the role of DNA as the primary carrier of genetic information and proteins as the primary effector molecules of the cell. The intermediate between DNA and proteins is RNA, which initially was regarded as the "molecule in the middle" of the central dogma. This view has been transformed over the past two decades, as RNA has become recognized as a critical regulator of cellular processes.
 Subjects:
 Biology
 Keywords:
 Noncoding RNA RNA
 Resource Type:
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Courseware
How do we sense hunger? How do we sense pain? What causes growth in our bodies? How are we protected from pathogens? The answer to many of these questions involves small polymers of amino acids known as peptides. Peptides are broadly used as signal molecules for intercellular communication in prokaryotes, plants, fungi, and animals. Peptide signals in animals include vast numbers of peptide hormones, growth factors and neuropeptides. In this course, we will learn about molecular bases of peptide signaling. In addition, peptides potentially can be used as potent broadspectrum antibiotics and hence might define novel therapeutic agents.
 Subjects:
 Biology
 Keywords:
 Peptides
 Resource Type:
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Courseware
Parasites require a hospitable organism to reproduce and spread and have evolved multiple strategies to subvert their hosts. Parasites scavenge nutrients directly from host cells, evade the host immune system and even modify host behavior to increase their transmission. This course will explore the strategies used by a ubiquitous and harmful class of parasites to hijack the biology of their host cells. We will discuss pathogens such as Plasmodium and Toxoplasma, responsible for some of the deadliest and most pervasive infectious diseases on the planet. By exploring how these pathogens invade a host cell and replicate while evading the immune system, students will gain a broad understanding of basic cell biology, biochemistry and immunology, as well as learn techniques commonly used in cell biology. Students will be challenged to think creatively and flexibly to understand, critique, interpret, and design scientific experiments in the field of hostpathogen interactions.
 Subjects:
 Biology
 Keywords:
 Pathogenic microorganisms Parasites
 Resource Type:
 Courseware

Courseware
This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical mechanics in order to solve the most famous physics problem, the motion of the planets. The principles of mechanics successfully described many other phenomena encountered in the world. Conservation laws involving energy, momentum and angular momentum provided a second parallel approach to solving many of the same problems. In this course, we will investigate both approaches: Force and conservation laws. Our goal is to develop a conceptual understanding of the core concepts, a familiarity with the experimental verification of our theoretical laws, and an ability to apply the theoretical framework to describe and predict the motions of bodies.
 Subjects:
 Physics
 Keywords:
 Kinematics Torque Mass (Physics) Angular momentum Force energy Motion Mechanics
 Resource Type:
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Courseware
This course explores the relationship between ancient Greek philosophy and mathematics. We investigate how ideas of definition, reason, argument and proof, rationality / irrationality, number, quality and quantity, truth, and even the idea of an idea were shaped by the interplay of philosophic and mathematical inquiry. The course examines how discovery of the incommensurability of magnitudes challenged the Greek presumption that the cosmos is fully understandable. Students explore the influence of mathematics on ancient Greek ethical theories. We read such authors as: Euclid, Plato, Aristotle, Nicomachus, Theon of Smyrna, Bacon, Descartes, Dedekind, and Newton.
 Subjects:
 Philosophy and Mathematics and Statistics
 Keywords:
 Philosophy Ancient Mathematics  Philosophy
 Resource Type:
 Courseware

Courseware
This course offers an indepth the theoretical foundations for statistical methods that are useful in many applications. The goal is to understand the role of mathematics in the research and development of efficient statistical methods.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical statistics
 Resource Type:
 Courseware

Courseware
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.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical statistics
 Resource Type:
 Courseware