数学 公开课(字母序) |
字母序 | 将开始 | 进行中 |
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Combinatorial Theory: Hyperplane Arrangements (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-315-combinatorial-theory-hyperplane-arrangements-fall-2004 简介: This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids. |
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Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 简介: This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on partition identities, young tableaux bijections, spanning trees in graphs, and random generation of combinatorial objects. There is some discussion of various applications and connections to other fields. |
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Common Core in Action: Math Formative Assessment (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: Unknown 主页: https://www.coursera.org/course/ccss-math1 简介: This course offers participants an opportunity to engage in a community of learners using an inquiry cycle focusing on math formative assessments as a strategy for implementing CCSS in math. It focuses on the implementation of a Classroom Challenge: a 1 – 2 day lesson developed by the Mathematics Assessment Project (MAP) based on formative assessment and the CCSSM. |
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Commutative Algebra (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-705-commutative-algebra-fall-2008 简介: In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization, primary decomposition, DVRs, filtrations, length, Artin rings, Hilbert polynomials, tensor products, and dimension theory. |
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Complex Variables with Applications (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-04-complex-variables-with-applications-fall-1999 简介: This course features a complete set of |
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Complex Variables with Applications (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-04-complex-variables-with-applications-fall-2003 简介: This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms. |
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Computational Science and Engineering I (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-085-computational-science-and-engineering-i-fall-2008 简介: This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications. |
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Differential Analysis (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-155-differential-analysis-fall-2004 简介: This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods. |
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Differential Analysis (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-156-differential-analysis-spring-2004 简介: The main goal of this course is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis. |
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Differential equations (Khan Academy) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://www.khanacademy.org/math/differential-equations 简介: Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here. |
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Differential Equations (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010 简介: 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. |
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Differential Equations (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011 简介: The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering. |
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Differential Equations in Action (Udacity) 1 个评论 关注 开始时间: 04/22/2022 持续时间: 自主 主页: https://www.udacity.com/course/cs222 简介: In this course you will examine real world problems -- rescue the Apollo 13 astronauts, stop the spread of epidemics, and fight forest fires -- involving differential equations and figure out how to solve them using numerical methods. |
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Differential Geometry (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-950-differential-geometry-fall-2008 简介: This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature. |
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Discrete Mathematics (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: Unknown 主页: https://www.coursera.org/archive/discrete-mathematics 简介: Discrete mathematics forms the mathematical foundation of computer and information science. It is al |
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Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 简介: Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts: integrable systems (Calogero-Moser and Ruijsenaars models), algebraic geometry (Hilbert schemes), orthogonal polynomials, Lie theory, quantum groups, etc. In this course we will review the basic theory of DAHA and their representations, emphasizing their connections with other subjects and open problems. |
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Dynamical Modeling Methods for Systems Biology (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 7 weeks 主页: https://www.coursera.org/course/dynamicalmodeling 简介: An introduction to dynamical modeling techniques used in contemporary Systems Biology research. |
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Error-Correcting Codes Laboratory (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-413-error-correcting-codes-laboratory-spring-2004 简介: This course introduces students to iterative decoding algorithms and the codes to which they are applied, including Turbo Codes, Low-Density Parity-Check Codes, and Serially-Concatenated Codes. The course will begin with an introduction to the fundamental problems of Coding Theory and their mathematical formulations. This will be followed by a study of Belief Propagation--the probabilistic heuristic which underlies iterative decoding algorithms. Belief Propagation will then be applied to the decoding of Turbo, LDPC, and Serially-Concatenated codes. The technical portion of the course will conclude with a study of tools for explaining and predicting the behavior of iterative decoding algorithms, including EXIT charts and Density Evolution. |
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Fourier Analysis - Theory and Applications (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-103-fourier-analysis-theory-and-applications-spring-2004 简介: 18.103 picks up where 18.100B (Analysis I) left off. Topics covered include the theory of the Lebesgue integral with applications to probability, Fourier series, and Fourier integrals. |
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Functions of a Complex Variable (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-112-functions-of-a-complex-variable-fall-2008 简介: This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (18.100B) is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted. |
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Game Theory (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: Unknown 主页: https://www.coursera.org/archive/game-theory-1 简介: This course is aimed at students, researchers, and practitioners who wish to understand more about strategic interactions. You must be comfortable with mathematical thinking and rigorous arguments. Relatively little specific math is required; but you should be familiar with basic probability theory (for example, you should know what a conditional probability is), and some very light calculus would be helpful. |
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Game Theory II: Advanced Applications (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: Unknown 主页: https://www.coursera.org/archive/game-theory-2 简介: This course is based on advanced undergraduate and masters level material and is aimed at researchers, students, and practitioners who wish to learn more about game theory and mechanism design. This course is a follow up to our first Game Theory course, and it presumes that the students are comfortable with the material from that course. You must be also comfortable with mathematical thinking and rigorous arguments. Relatively little specific math is required; however the course involves some probability theory (for example, you should know what a conditional probability is) and some calculus. |
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Games without Chance: Combinatorial Game Theory (CourseraArchive) 1 个评论 关注 开始时间: 04/22/2022 持续时间: Unknown 主页: https://www.coursera.org/course/cgt 简介: This course will cover the mathematical theory and analysis of simple games without chance moves. |
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Games without Chance: Combinatorial Game Theory (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: Unknown 主页: https://www.coursera.org/archive/combinatorial-game-theory 简介: This course will cover the mathematical theory and analysis of simple games without chance moves. |
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Geometric Combinatorics (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-319-geometric-combinatorics-fall-2005 简介: This course features |
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Geometry (Khan Academy) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://www.khanacademy.org/math/geometry 简介: This is a first year, high-school level course on Geometry (which is based on Euclid's elements). It revisits many of the basic geometrical concepts studied in earlier courses, but addresses them with more mathematical rigor. There is strong focus on proving theorems and results from basic postulates. |
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Geometry and Quantum Field Theory (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-238-geometry-and-quantum-field-theory-fall-2002 简介: Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory. |
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Geometry of Manifolds (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-965-geometry-of-manifolds-fall-2004 简介: Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms. It also makes an introduction to Lie groups, the de Rham theorem, and Riemannian manifolds. |
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Geometry of Manifolds (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-966-geometry-of-manifolds-spring-2007 简介: This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations. |
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Honors Differential Equations (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-034-honors-differential-equations-spring-2009 简介: This course covers the same material as Differential Equations (18.03) with more emphasis on theory. In addition, it treats mathematical aspects of ordinary differential equations such as existence theorems. |
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Honors Differential Equations (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-034-honors-differential-equations-spring-2004 简介: This course covers the same material as 18.03 with more emphasis on theory. Topics include first order equations, separation, initial value problems, systems, linear equations, independence of solutions, undetermined coefficients, and singular points and periodic orbits for planar systems. |
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Image and video processing: From Mars to Hollywood with a stop at the hospital (CourseraArchive) 1 个评论 关注 开始时间: 04/22/2022 持续时间: 9 weeks 主页: https://www.coursera.org/course/images 简介: In this class you will look behind the scenes of image and video processing, from the basic and classical tools to the most modern and advanced algorithms. |
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Infinite Random Matrix Theory (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-338j-infinite-random-matrix-theory-fall-2004 简介: In this course on the mathematics of infinite random matrices, students will learn about the tools such as the Stieltjes transform and Free Probability used to characterize infinite random matrices. |
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Initiation à la théorie des distributions (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: Unknown 主页: https://www.coursera.org/course/distributions 简介: Une fonction discontinue peut-elle être solution d'une équation différentielle? Comment définir rigoureusement la masse de Dirac (une "fonction" d'intégrale un, nulle partout sauf en un point) et ses dérivées? Peut-on définir une notion de "dérivée d'ordre fractionnaire"? Cette initiation aux distributions répond à ces questions - et à bien d'autres. |
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Integral Equations (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-307-integral-equations-spring-2006 简介: This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications. |
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Interfacial Phenomena (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-357-interfacial-phenomena-fall-2010 简介: This graduate-level course covers fluid systems dominated by the influence of interfacial tension. The roles of curvature pressure and Marangoni stress are elucidated in a variety of fluid systems. Particular attention is given to drops and bubbles, soap films and minimal surfaces, wetting phenomena, water-repellency, surfactants, Marangoni flows, capillary origami and contact line dynamics. |
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Introduction à la théorie de Galois (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 11 weeks 主页: https://www.coursera.org/course/introgalois 简介: Le cours expose la théorie de Galois, du classique critère de non-résolubilité des équations polynomiales aux méthodes plus avancées de calcul de groupes de Galois par réduction modulo un nombre premier. |
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Introduction to Analysis (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-100a-introduction-to-analysis-fall-2012 简介: This course features a somewhat gentler introduction to the standard Analysis I material than the traditional course. It emphasizes one-variable analysis and de-emphasizes point-set topology. It assumes students did well in a standard single-variable calculus course. |
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Introduction to Computational Molecular Biology (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 简介: This course introduces the basic computational methods used to understand the cell on a molecular level. It covers subjects such as the sequence alignment algorithms: dynamic programming, hashing, suffix trees, and Gibbs sampling. Furthermore, it focuses on computational approaches to: genetic and physical mapping; genome sequencing, assembly, and annotation; RNA expression and secondary structure; protein structure and folding; and molecular interactions and dynamics. |
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Introduction to Differential Equations (EdxArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 7 weeks 主页: https://www.edx.org/archive/introduction-differential-equations-bux-math226-1x 简介: Learn the mathematical theory of ordinary differential equations and its application to biological and physical systems. |
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Introduction to Functional Analysis (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-102-introduction-to-functional-analysis-spring-2009 简介: This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem. |
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Introduction to Lie Groups (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-755-introduction-to-lie-groups-fall-2004 简介: This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is |
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Introduction to Mathematical Thinking (CourseraArchive) 2 个评论 关注 开始时间: 04/22/2022 持续时间: 10 weeks 主页: https://www.coursera.org/course/maththink 简介: Learn how to think the way mathematicians do - a powerful cognitive process developed over thousands of years. |
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Introduction to Mathematical Thinking (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: Unknown 主页: https://www.coursera.org/archive/mathematical-thinking 简介: Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands |
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Introduction To MATLAB Programming (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-s997-introduction-to-matlab-programming-fall-2011 简介: This course is intended to assist undergraduates with learning the basics of programming in general and programming MATLAB® in particular. |
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Introduction to Numerical Analysis (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-330-introduction-to-numerical-analysis-spring-2004 简介: This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations and direct and iterative methods in linear algebra. |
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Introduction to Numerical Analysis (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-330-introduction-to-numerical-analysis-spring-2012 简介: This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations, direct and iterative methods in linear algebra. |
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Introduction to Numerical Methods (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-335j-introduction-to-numerical-methods-fall-2004 简介: The focus of this course is on numerical linear algebra and numerical methods for solving ordinary differential equations. Topics include linear systems of equations, least square problems, eigenvalue problems, and singular value problems. |
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Introduction to Numerical Methods (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://ocw.mit.edu/courses/mathematics/18-335j-introduction-to-numerical-methods-fall-2010 简介: This course offers an advanced introduction to numerical linear algebra. Topics include direct and iterative methods for linear systems, eigenvalue decompositions and QR/SVD factorizations, stability and accuracy of numerical algorithms, the IEEE floating point standard, sparse and structured matrices, preconditioning, linear algebra software. Problem sets require some knowledge of MATLAB®. |
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Introduction to Partial Differential Equations (MIT公开课) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 简介: This course introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. It includes mathematical tools, real-world examples and applications. |
