linear algebra
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Professor Sylvia Ceyer covers the molecular orbital theory, beginning with a discussion of some key topics including bonding orbitals, antibonding orbitals, electron configurations, and bond order. Using a wealth of examples to depict molecular orbitals (MOs) formed by the linear combination of atomic orbitals (LCAO), she concludes with heteronuclear diatomics.
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Astrobiology is a new meta-discipline which combines astronomy, biology, chemistry, philosophy, and physics in an effort to study the current state of life in the universe. In the Stanford Astrobiology Course, lectures follow a, more or less, linear path from the Big Bang all the way to the development of complex life and, finally, space exploration. The course explains how evolutionary principles have operated at the macro, and micro, ...more
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Scheinman Arm - Demo, Kinematic Singularity, Example - Kinematic Singularity, Puma Simulation, Resolved Rate Motion Control, Angular/Linear - Velocities/Forces, Velocity/Force Duality, Virtual Work, Example
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Videos on geometry. Basic understanding of Algebra I necessary. After this, you'll be ready for Trigonometry.
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This course is the second of a two-term sequence. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of Principles of Digital Communication I and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-d...more
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Newton's Method, Exponential Family, Bernoulli Example, Gaussian Example, General Linear Models (GLMs), Multinomial Example, Softmax Regression
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Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible.
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Heat, conductivity, and thermal expansion are the discussed in this lecture. Both linear thermal expansion, leading to a need for expansion joints in railroad rails on hot days, and cubical thermal expansion, as occurs in a mercury thermometer, are covered in detail. The lectures ends with a focus on the cubical thermal expansion of water: the density of ice is about 8% lower than water, so ice cubes and icebergs float.
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Videos on pre-algebra. Should be ready for the "Algebra" playlist if you understand everything here.
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Topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you've never seen algebra before. Once you get your feet wet, you may want to try some of the videos in the "Algebra I Worked Examples" playlist.
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180 Worked Algebra I examples (problems written by the Monterey Institute of Technology and Education). You should look at the "Algebra" playlist if you've never seen algebra before or if you want instruction on topics in Algebra II. Use this playlist to see a ton of example problems in every topic in the California Algebra I Standards. If you can do all of these problems on your own, you should probably test out of Algebra I (seriously).
