3.016 Mathematics for Materials Scientists and Engineers, Fall 2003
Author(s)Carter, W. Craig
Mathematics for Materials Scientists and Engineers
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The class will cover mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from 3.012 to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, fourier analysis and random walks.
energetics, linear algebra, orthonormal basis, eigenvalues, eigenvectors, quadratic forms, tensor operations, symmetry operations, complex analysis, differential equations, theory of distributions, fourier analysis, random walks, materials science, materials engineering, materials structure, applied fields, materials response, solids mechanics, solids physics, soft materials, multi-variable calculus, ordinary differential equations, partial differential equations, applied mathematics, mathematical techniques
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