systems of equations
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In this lecture, Katie Brakora, the head GSI, introduces the course and the required texts and discusses strategies for success in studying human anatomy. She encourages students to take a systemic view of human anatomy, understanding systems in whole and in part, rather than focusing on memorizing terms. After this introduction, Brakora discusses the attributes of the human brain using a preserved sample. Then, Brakora surveys the hist...more
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The MIT Biology Department core courses all cover the same core material, which includes the fundamental principles of biochemistry, genetics, molecular biology, and cell biology. Biological function at the molecular level is particularly emphasized and covers the structure and regulation of genes, as well as, the structure and synthesis of proteins, how these molecules are integrated into cells, and how these cells are integrated into mul...more
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Professor Channing Robertson of the Stanford University Chemical Engineering Department discusses units, comparing the different methods and systems of measuring different variables.
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Professor Channing Robertson of the Stanford University Chemical Engineering Department discusses balancing equations and the conservation of mass in relation to process design.
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What a differential equation is and some terminology?
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3 basic differential equations that can be solved by taking the antiderivatives of both sides.
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Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix exponential, ...more
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Using the basic equations of distance and velocity to solve motion problems.
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The purpose of this course is to introduce you to basics of modeling, design, planning, and control of robot systems. In essence, the material treated in this course is a brief survey of relevant results from geometry, kinematics, statics, dynamics, and control. The course is presented in a standard format of lectures, readings and problem sets. Lectures will be based mainly, but not exclusively, on material in the Lecture Notes. Lectur...more
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This course explores the basic principles of chemistry and their application to engineering systems. It deals with the relationship between electronic structure, chemical bonding, and atomic order. It also investigates the characterization of atomic arrangements in crystalline and amorphous solids: metals, ceramics, semiconductors, and polymers (including proteins). Topics covered include organic chemistry, solution chemistry, acid-base eq...more
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Introduction to the Convolution.
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