数学 公开课(进行中) |
字母序 | 将开始 | 进行中 |
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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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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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Welcome to 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-introduction 简介: 入门级博弈论课程，由东京大学推出，英文授课: This course provides a brief introduction to game theory. |
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Calculus: Single Variable Part 2 - Differentiation (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/differentiation-calculus 简介: Calculus is one of the grandest achievements of human thought, explaining everything from planetary |
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Preparing for the AP* Calculus AB and BC Exams (Part 1 - Differential Calculus) (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 6 weeks 主页: https://www.coursera.org/course/apcalcpart1 简介: This is a 6 week course covering the first part of AP* Calculus which includes limits, derivatives and applications. * AP Calculus is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. |
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Statistical Reasoning for Public Health 2: Regression Methods (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 8 weeks 主页: https://www.coursera.org/course/statreasoning2 简介: A practical and example filled tour of simple and multiple regression techniques (linear, logistic, and Cox PH) for estimation, adjustment and prediction. |
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Introduction to Statistics for the Social Sciences (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/statistics101 简介: This course exposes students to the logic of statistical reasoning and its application in the quantitative social sciences. It is meant as a thorough but accessible introduction to the topics of descriptive statistics, probability theory, and statistical inference with hands-on exercises. |
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Çok Değişkenli Fonksiyonlarda Türev ve Entegral II: İleri Konular ve Uygulamalar / Multivariable Calculus II: Applications and A (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/multivarii 简介: Ders çok değişkenli fonksiyonlardaki iki derslik dizinin ikincisidir. Birinci ders türev ve entegral kavramlarını geliştirmekte ve bu konulardaki problemleri temel çözme yöntemlerini sunmaktadır. Bu ders, birinci derste geliştirilen temeller üzerine daha ileri konuları işlemekte ve daha kapsamlı uygulamalar ve çözümlü örnekler sunmaktadır. Ders gerçek yaşamdan gelen uygulamaları da tanıtmaya önem veren “içerikli yaklaşımla” tasarlanmıştır. |
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组合数学 (学堂在线) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 自主 主页: http://xuetangx.com/courses/TsinghuaX/60240013X/_/about 简介: 组合数学是计算机出现以后迅速发展起来的一门数学分支,主要研究离散对象的存在、计数以及构造等方面问题。由于计算机软件的促进和需求，组合数学已成为一门既广博又深奥的学科，其发展奠定了本世纪的计算机革命的基础，并且改变了传统数学中分析和代数占统治地位的局面。本课程从排列组合的基本概念出发，系统介绍了有关组合计数的理论和方法，主要内容包括计数的基本法则、母函数与递推关系、鸽巢原理和容斥原理、波利亚计数定理。这虽然是一门研究生课程，但是学习者只需要具备初等的数理知识就可以开始学习。我们将从基础的排列组合开始，逐步深入了解计数问题的不同解决思路，通过对现实生活中计数问题的演绎和学生们共同体会组合计数问题不断抽象深入的挖掘过程，引导学生共同感受数学知识的精妙，从而深入理解组合数学对计算机理论发展的推动作用。 |
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微积分-1 (学堂在线) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://xuetangx.com//courses/TsinghuaX/10421145X/_-1/about 简介: 本课程专为MOOC设计，讲授常规理工科微积分的前半部分(一元微积分)。以中英文对照的方式讲授，并使用以英文为主的教材和学习资料。 |
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概率论 - 关于不确定性的科学 (学堂在线) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://xuetangx.com//courses/MITx/6.041x/_/about 简介: 一门关于概率模型的导论课，同时涵盖了随机过程和统计推断的一些基本知识 |
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统计学入门：统计学概论 (学堂在线) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: http://xuetangx.com//courses/UC%20BerkeleyX/Stat2.1x/_/about 简介: 描述统计学入门，强调批判性思维和清晰沟通。 |
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Основы комбинаторики (Introduction to combinatorics) (CourseraArchive) 0 个评论 关注 开始时间: 04/22/2022 持续时间: 8 weeks 主页: https://www.coursera.org/course/combinatorics 简介: Курс посвящен базовым понятиям комбинаторики. Кроме основных принципов, в курс также включены современные проблемы комбинаторного анализа. |
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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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CVX101: Convex Optimization (Stanford Online) 1 个评论 关注 开始时间: 04/22/2022 持续时间: 未知 主页: https://class.stanford.edu/courses/Engineering/CVX101/Winter2014/about 简介: This course concentrates on recognizing and solving convex optimization problems that arise in applications. The syllabus includes: convex sets, functions, and optimization problems; basics of convex analysis; least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems; optimality conditions, duality theory, theorems of alternative, and applications; interior-point methods; applications to signal processing, statistics and machine learning, control and mechanical engineering, digital and analog circuit design, and finance. |
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Wavelets, Filter Banks 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/18-327-wavelets-filter-banks-and-applications-spring-2003 简介: Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications. |
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Quantum Computation (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/18-435j-quantum-computation-fall-2003 简介: This course provides an introduction to the theory and practice of quantum computation. Topics covered include: physics of information processing, quantum logic, quantum algorithms including Shor's factoring algorithm and Grover's search algorithm, quantum error correction, quantum communication, and cryptography. |
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Advanced Complexity 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/18-405j-advanced-complexity-theory-fall-2001 简介: The topics for this course cover various aspects of complexity theory, such as the basic time and space classes, the polynomial-time hierarchy and the randomized classes . This is a pure theory class, so no applications were involved. |
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Simplicity 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/18-996a-simplicity-theory-spring-2004 简介: This is an advanced topics course in model theory whose main theme is simple theories. We treat simple theories in the framework of compact abstract theories, which is more general than that of first order theories. We cover the basic properties of independence (i.e., non-dividing) in simple theories, the characterization of simple theories by the existence of a notion of independence, and hyperimaginary canonical bases. |
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Topics in Algebraic Topology: The Sullivan Conjecture (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: The goal of this course is to describe some of the tools which enter into the proof of Sullivan's conjecture. |
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Analytic Number 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/18-785-analytic-number-theory-spring-2007 简介: This course is an introduction to analytic number theory, including the use of zeta functions and L-functions to prove distribution results concerning prime numbers (e.g., the prime number theorem in arithmetic progressions). |
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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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Algebraic 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/18-726-algebraic-geometry-spring-2009 简介: This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, students gain an understanding of the basic notions and techniques of modern algebraic geometry. |
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Topics in Statistics: Statistical Learning Theory (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: The main goal of this course is to study the generalization ability of a number of popular machine learning algorithms such as boosting, support vector machines and neural networks. Topics include Vapnik-Chervonenkis theory, concentration inequalities in product spaces, and other elements of empirical process theory. |
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Behavior of Algorithms (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/18-409-behavior-of-algorithms-spring-2002 简介: This course is a study of Behavior of Algorithms and covers an area of current interest in theoretical computer science. The topics vary from term to term. During this term, we discuss rigorous approaches to explaining the typical performance of algorithms with a focus on the following approaches: smoothed analysis, condition numbers/parametric analysis, and subclassing inputs. |
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Nonlinear Dynamics and Chaos (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/18-385j-nonlinear-dynamics-and-chaos-fall-2004 简介: This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with emphasis on geometric thinking, computational and analytical methods and makes extensive use of demonstration software. |
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Mathematical Methods in Nanophotonics (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/18-369-mathematical-methods-in-nanophotonics-spring-2008 简介: Find out what solid-state physics has brought to Electromagnetism in the last 20 years. This course surveys the physics and mathematics of nanophotonics—electromagnetic waves in media structured on the scale of the wavelength. |
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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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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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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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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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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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Modern 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/18-703-modern-algebra-spring-2013 简介: This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics. |
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Introduction to Topology (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/18-901-introduction-to-topology-fall-2004 简介: This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group. |
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Algebra I (MIT公开课) 1 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/18-701-algebra-i-fall-2010 简介: This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups. |
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Introduction to Representation 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/18-712-introduction-to-representation-theory-fall-2010 简介: The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces. |
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Linear 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/18-700-linear-algebra-fall-2005 简介: This course features |
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Algebra II (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/18-702-algebra-ii-spring-2011 简介: This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory. |
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Combinatorial Optimization (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/18-433-combinatorial-optimization-fall-2003 简介: Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, and approximation algorithms for NP-hard problems. |
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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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Principles of Applied Mathematics (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/18-310c-principles-of-applied-mathematics-fall-2007 简介: Principles of Applied Mathematics is a study of illustrative topics in discrete applied mathematics including sorting algorithms, information theory, coding theory, secret codes, generating functions, linear programming, game theory. There is an emphasis on topics that have direct application in the real world. |
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Linear 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 主页: http://ocw.mit.edu/courses/mathematics/18-303-linear-partial-differential-equations-fall-2006 简介: This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and Green's functions. |
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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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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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Analysis 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/18-100b-analysis-i-fall-2010 简介: Analysis I covers fundamentals of mathematical analysis: metric spaces, convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. |
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Linear 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/18-06-linear-algebra-spring-2010 简介: This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. |
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Linear 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/18-06sc-linear-algebra-fall-2011 简介: This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. |
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Linear Algebra - Communications Intensive (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/18-06ci-linear-algebra-communications-intensive-spring-2004 简介: This is a communication intensive supplement to Linear Algebra ( |
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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. |
