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Courseware
This is a graduate-level introduction to mathematics of information theory. We will cover both classical and modern topics, including information entropy, lossless data compression, binary hypothesis testing, channel coding, and lossy data compression.
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Information theory Information theory in mathematics
- Resource Type:
- Courseware
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Courseware
This class addresses the craft of writing about science in and for contemporary society, both its pleasures and its challenges. We will read essays, reportage, op-eds, and web-based articles on a variety of topics concerning science, technology, medicine and nature. Readings by contemporary writers such as Elizabeth Kolbert, Atul Gawande, and Michael Pollan will serve as examples of the craft and sources of ideas for our own writing.
- Subjects:
- English Language
- Keywords:
- Technical writing
- Resource Type:
- Courseware
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Courseware
Like other scientists, medical researchers and clinicians must be capable of presenting their work to an audience of professional peers. Unlike many scientists, however, physicians must routinely translate their sophisticated knowledge into lay terms for their own patients and for the education of the public at large. A surprising number of physicians write for less utilitarian reasons as well, choosing the narrative essay as a means of exploring the non-technical issues that emerge in their clinical practice. Over the course of the semester, we will explore the full range of writings by physicians and other health practitioners.
- Subjects:
- English Language
- Keywords:
- Medical writing
- Resource Type:
- Courseware
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e-book
DOAB provides a searchable index to the information about these books, with links to the full texts of the publications at the publisher’s website or repository.
- Subjects:
- Environmental Sciences
- Keywords:
- Geography Climatology Ecology Meteorology Earth sciences Oceanography Environmental sciences Geology
- Resource Type:
- e-book
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e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Subjects:
- Environmental Sciences
- Keywords:
- Earth sciences
- Resource Type:
- e-book
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e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Subjects:
- Environmental Sciences
- Keywords:
- Environmental sciences
- Resource Type:
- e-book
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e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Subjects:
- Management
- Keywords:
- Industrial management Labor Technological innovations
- Resource Type:
- e-book
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e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Subjects:
- Food Science
- Keywords:
- Nutrition Food
- Resource Type:
- e-book
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e-book
Open access books in science, technology and medicine.
- Keywords:
- Science Physical sciences Engineering Technology
- Resource Type:
- e-book
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e-book
Open access books in science, technology and medicine.
- Keywords:
- Agriculture Life sciences Environmental sciences Biology
- Resource Type:
- e-book
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e-book
Contains freely accessible academic books in Chinese in the area of agriculture.
- Keywords:
- Agriculture
- Resource Type:
- e-book
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e-book
Contains freely accessible academic books in Chinese in the area of humanities, social sciences, philosophy, medicine, economy & finance.
- Keywords:
- Science Engineering
- Resource Type:
- e-book
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e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Keywords:
- Agriculture
- Resource Type:
- e-book
-
e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Keywords:
- Biography Autobiography
- Resource Type:
- e-book
-
e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Subjects:
- Biology
- Keywords:
- Life sciences Biology
- Resource Type:
- e-book
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e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Keywords:
- National security Security International
- Resource Type:
- e-book
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e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Subjects:
- Physics, Chemistry, and Mathematics and Statistics
- Keywords:
- Physics Mathematics Chemistry
- Resource Type:
- e-book
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e-book
Covers over 5,000 reports published by the National Academies Press for the National Academy of Sciences, National Academy of Engineering, Institute of Medicine and National Research Council in the US.
- Subjects:
- Sociology
- Keywords:
- Technology state Science state
- Resource Type:
- e-book
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e-book
DOAB provides a searchable index to the information about these books, with links to the full texts of the publications at the publisher’s website or repository.
- Keywords:
- Forests forestry Agriculture Fisheries Aquaculture
- Resource Type:
- e-book
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e-journal
OMICS International is an interactive open access journal for the communication of all scientific and medical research.
- Keywords:
- Agriculture Aquaculture
- Resource Type:
- e-journal
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e-journal
OMICS International is an interactive open access journal for the communication of all scientific and medical research.
- Subjects:
- Biochemistry
- Keywords:
- Biochemistry
- Resource Type:
- e-journal
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e-journal
OMICS International is an interactive open access journal for the communication of all scientific and medical research.
- Keywords:
- Medical sciences Physiology Pharmacy Drugs Anatomy Pharmacoepidemiology
- Resource Type:
- e-journal
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e-journal
OMICS International is an interactive open access journal for the communication of all scientific and medical research.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics Mathematics
- Resource Type:
- e-journal
-
e-journal
OMICS International is an interactive open access journal for the communication of all scientific and medical research.
- Keywords:
- Nanomedicine Biomedical materials Nanotechnology Biotechnology Computational biology Pharmacology
- Resource Type:
- e-journal
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e-journal
OMICS International is an interactive open access journal for the communication of all scientific and medical research.
- Keywords:
- Psychiatry Brain -- Diseases Neurology
- Resource Type:
- e-journal
-
e-journal
OMICS International is an interactive open access journal for the communication of all scientific and medical research.
- Subjects:
- Food Science and Biology
- Keywords:
- Botany Food industry trade Nutrition Natural products
- Resource Type:
- e-journal
-
e-journal
OMICS International is an interactive open access journal for the communication of all scientific and medical research.
- Subjects:
- Biology
- Keywords:
- Bioinformatics Systems biology
- Resource Type:
- e-journal
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Image
A free open-access online database of medical images, teaching cases, and clinical topics, integrating images and textual metadata including over 12,000 patient case scenarios, 9,000 topics, and nearly 59,000 images.
- Keywords:
- Digital images Medical photography
- Resource Type:
- Image
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Image
Created by a Working Group at the Centers for Disease Control and Prevention (CDC), the PHIL offers an organized, universal electronic gateway to CDC's pictures. Public health professionals, the media, laboratory scientists, educators, students, and the worldwide public can use this material for reference, teaching, presentation, and public health messages. Most images are for free use.
- Keywords:
- Digital images Public health Medical photography
- Resource Type:
- Image
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Image
Open Access Biomedical Image Search Engine
- Keywords:
- Digital images Medical photography Diagnostic imaging
- Resource Type:
- Image
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Courseware
This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Number theory Algebraic number theory
- Resource Type:
- Courseware
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Courseware
This course is the continuation of 18.785 Number Theory I. It begins with an analysis of the quadratic case of Class Field Theory via Hilbert symbols, in order to give a more hands-on introduction to the ideas of Class Field Theory. More advanced topics in number theory are discussed in this course, such as Galois cohomology, proofs of class field theory, modular forms and automorphic forms, Galois representations, and quadratic forms.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Galois cohomology Algebraic number theory Class field theory
- Resource Type:
- Courseware
-
Courseware
This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Curves Elliptic
- Resource Type:
- Courseware
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Courseware
This graduate-level course focuses on current research topics in computational complexity theory. Topics include: Nondeterministic, alternating, probabilistic, and parallel computation models; Boolean circuits; Complexity classes and complete sets; The polynomial-time hierarchy; Interactive proof systems; Relativization; Definitions of randomness; Pseudo-randomness and derandomizations;Interactive proof systems and probabilistically checkable proofs.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Computational complexity
- Resource Type:
- Courseware
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Courseware
In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to the minimal surface equation. Then we study Fourier and harmonic analysis, emphasizing applications of Fourier analysis. We will see some applications in combinatorics / number theory, like the Gauss circle problem, but mostly focus on applications in PDE, like the Calderon-Zygmund inequality for the Laplacian, and the Strichartz inequality for the Schrodinger equation. In the last part of the course, we study solutions to the linear and the non-linear Schrodinger equation. All through the course, we work on the craft of proving estimates.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Fourier analysis Differential equations Partial
- Resource Type:
- Courseware
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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
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Courseware
This course offers an in-depth 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
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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
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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:
- Courseware
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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 host-pathogen interactions.
- Subjects:
- Biology
- Keywords:
- Pathogenic microorganisms Parasites
- Resource Type:
- Courseware
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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 broad-spectrum antibiotics and hence might define novel therapeutic agents.
- Subjects:
- Biology
- Keywords:
- Peptides
- Resource Type:
- Courseware
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Courseware
In this course, we will investigate the diverse types and functions of different RNA species, with a focus on "non-coding 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:
- Non-coding RNA RNA
- Resource Type:
- Courseware
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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), long-noncoding 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 fast-paced 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:
- Courseware
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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
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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 goodness-of-fit. 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
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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 Wave-motion Theory of
- Resource Type:
- Courseware
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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, Single-Mode and Two-Mode Quantum Systems, Multi-Mode Quantum Systems, Nonlinear Optics, and Quantum System Theory.
- Subjects:
- Electronic and Information Engineering and Physics
- Keywords:
- Quantum optics Quantum theory Nonlinear optics
- Resource Type:
- Courseware
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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 interaction-free 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:
- Courseware
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Courseware
8.06 is the third course in the three-sequence 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 two-dimensional electron systems, the fine structure of Hydrogen, lasers, and particle scattering.
- Subjects:
- Physics
- Keywords:
- Quantum theory
- Resource Type:
- Courseware
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Courseware
This course provides a rigorous treatment of non-cooperative 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 non-cooperative foundations.
- Subjects:
- Economics and Mathematics and Statistics
- Keywords:
- Game theory
- Resource Type:
- Courseware