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Massachusetts Institute of Technology
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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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Video
Lecture videos from Gilbert Strang's course on Linear Algebra at MIT.
- Course related:
- AMA1120 Basic Mathematics II - Calculus and Linear Algebra
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Video
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Video
Professor Strang describes independent vectors and the column space of a matrix as a good starting point for learning linear algebra. His outline develops the five shorthand descriptions of key chapters of linear algebra.
- Course related:
- COMP4432 Machine Learning
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Video
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Video
In this lecture, we consider strategies for adversarial games such as chess. We discuss the minimax algorithm, and how alpha-beta pruning improves its efficiency. We then examine progressive deepening, which ensures that some answer is always available.
- Course related:
- COMP4431 Artificial Intelligence
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Artificial intelligence
- Resource Type:
- Video
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e-book
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus Textbooks
- Resource Type:
- e-book
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e-book
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus Textbooks
- Resource Type:
- e-book
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Video
This channel contains the complete 8.01x (Physics I: Classical Mechanics), 8.02x (Physics II: Electricity and Magnetism) and 8.03 (Physics III: Vibrations and Waves) lectures as presented by Walter Lewin in the fall of 1999, spring of 2002 and fall of 2004. The 8.01x and 8.02x edX lectures are high resolution (480p) versions of the more commonly seen OCW versions. Some edits were also made by Lewin. 8.03 is the OCW version, also in a 480p resolution. Links to lecture notes, assignments/solutions and exams/solutions are added. Playlists with Help Sessions for 8.01x, 8.02x and 8.03 are also available. They are "mini lectures". The problems discussed in these videos should be apparent after watching the first few minutes. Other playlists show Lewin in various appearances and his Bi-Weekly Physics problems/solutions and several excellent lectures by Feynman and others.
- Subjects:
- Physics and Electrical Engineering
- Keywords:
- Waves Vibration Magnetism Mechanics Electricity Physics
- Resource Type:
- Video
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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