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(Complete Item Description)
- Abstract:
Introduction to the theory and application of large-scale dynamic programming. Markov decision processes. Dynamic programming algorithms. Simulation-based algorithms. Theory and algorithms for value function approximation. Policy search methods. Games. Applications in areas such as dynamic resource allocation, finance and queueing networks, among others.
- Subject:
- Science and Technology
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
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(Complete Item Description)
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Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex numbers and exponentials. Matrix methods for first-order linear systems with constant coefficients. Non-linear autonomous systems; phase plane analysis. Fourier series; Laplace transforms.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
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(Complete Item Description)
- Abstract:
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.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
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(Complete Item Description)
- Abstract:
This course covers the 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 the materials science and engineering core courses (3.012 and 3.014) 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, and fourier analysis. Users may find additional or updated materials at Professor Carter's 3.016 course Web site.
- Subject:
- Mathematics and Statistics, Science and Technology
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
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