数学 公开课(字母序)

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CVX101: Convex Optimization (Stanford Online) 1 个评论 关注

开始时间: 01/20/2014 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.

Invitation to Mathematics הזמנה למתמטיקה (Coursera) 0 个评论 关注

开始时间: 07/13/2014 持续时间: 13 weeks

主页: https://www.coursera.org/course/welcome2math

简介: קורס זה עוסק במתמטיקה של בית ספר תיכון מנקודת מבט מתקדמת. מטרתו העיקרית היא לחשוף סטודנטים לעתיד לאופן שבו מתמטיקאים רואים מקצוע זה, ובכך להכין אותם ללימודי מתמטיקה ברמת אוניברסיטה.

Advanced Analytic Methods in Science and Engineering (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-305-advanced-analytic-methods-in-science-and-engineering-fall-2004

简介: Advanced Analytic Methods in Science and Engineering is a comprehensive treatment of the advanced methods of applied mathematics. It was designed to strengthen the mathematical abilities of graduate students and train them to think on their own.

Advanced Calculus for Engineers (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-075-advanced-calculus-for-engineers-fall-2004

简介: This course analyzes the functions of a complex variable and the calculus of residues. It also covers subjects such as ordinary differential equations, partial differential equations, Bessel and Legendre functions, and the Sturm-Liouville theory.

Advanced Complexity Theory (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.

Advanced Partial Differential Equations with Applications (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-306-advanced-partial-differential-equations-with-applications-fall-2009

简介: The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics, electrical and mechanical engineering, materials science, quantum mechanics, etc.

Aléatoire : une Introduction aux Probabilités (Coursera) 1 个评论 关注

开始时间: 待定 持续时间: Unknown

主页: https://www.coursera.org/course/probas

简介: Ce cours introduit le concept de Probabilité, dont la puissance permet de modéliser d'innombrables situations où le hasard intervient. Il est basé sur le livre de Sylvie Méléard "Aléatoire : introduction à la théorie et au calcul des probabilités" qui résulte lui-même du cours de tronc commun de première année de l'École polytechnique.

Algebra (Coursera) 0 个评论 关注

开始时间: 待定 持续时间: Unknown

主页: https://www.coursera.org/course/algebra

简介: This course is taught so that students will acquire a solid foundation in algebra. The course concentrates on the various functions that are important to the study of calculus.

Algebra (Khan Academy) 0 个评论 关注

开始时间: 随时 持续时间: 未知

主页: http://www.khanacademy.org/math/algebra

简介: Conceptual videos and worked examples from basic algebra through algebra 2. Includes videos from the former algebra worked examples playlists.

Algebra I (MIT OCW) 1 个评论 关注

开始时间: 01/01/2014 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.

Algebra II (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.

Algebraic Combinatorics (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-312-algebraic-combinatorics-spring-2009

简介: This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but assumes a familiarity with linear algebra and finite groups. Topics were chosen to show the beauty and power of techniques in algebraic combinatorics. Rigorous mathematical proofs are expected.

Algebraic Geometry (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.

Algebraic Geometry (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-725-algebraic-geometry-fall-2003

简介: This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field. It also analyzes the relations between complex algebraic varieties and complex analytic varieties.

Algebraic Topology (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-905-algebraic-topology-fall-2006

简介: This course is a first course in algebraic topology. The emphasis is on homology and cohomology theory, including cup products, Kunneth formulas, intersection pairings, and the Lefschetz fixed point theorem.

Algebraic Topology II (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-906-algebraic-topology-ii-spring-2006

简介: In this second term of Algebraic Topology, the topics covered include fibrations, homotopy groups, the Hurewicz theorem, vector bundles, characteristic classes, cobordism, and possible further topics at the discretion of the instructor.

An Introduction to Evidence-Based Undergraduate STEM Teaching (Coursera) 0 个评论 关注

开始时间: 09/28/2015 持续时间: 8 weeks

主页: https://www.coursera.org/course/stemteaching

简介: This seven-week course explores effective teaching strategies for college or university STEM (science, technology, engineering, mathematics) classrooms

An Introduction to Functional Analysis (Coursera) 1 个评论 关注

开始时间: 09/12/2014 持续时间: 8 weeks

主页: https://www.coursera.org/course/functionalanalysis

简介: Learn about functional analysis

Analyse Numérique pour Ingénieurs (Coursera) 0 个评论 关注

开始时间: 02/06/2015 持续时间: 8 weeks

主页: https://www.coursera.org/course/analysenumerique

简介: Ce cours contient les 7 premiers chapitres d'un cours donné aux étudiants bachelor de l'EPFL. Il est basé sur le livre "Introduction à l'analyse numérique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont décrits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question de la résolution numérique d'équations différentielles.

Analysis I (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.

Analysis II (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-101-analysis-ii-fall-2005

简介: This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis. The first half of the course covers multivariable calculus. The rest of the course covers the theory of differential forms in n-dimensional vector spaces and manifolds.

Analysis of a Complex Kind (Coursera) 2 个评论 关注

开始时间: 待定 持续时间: Unknown

主页: https://www.coursera.org/course/complexanalysis

简介: In this course we’ll explore complex analysis, complex dynamics, and some applications of these topics.

Analysis of Algorithms (Coursera) 1 个评论 关注

开始时间: 03/04/2016 持续时间: 6 weeks

主页: https://www.coursera.org/course/aofa

简介: This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. In addition, this course covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings.

Analytic Combinatorics (Coursera) 0 个评论 关注

开始时间: 11/06/2015 持续时间: 6 weeks

主页: https://www.coursera.org/course/ac

简介: Analytic Combinatorics teaches a calculus that enables precise quantitative predictions of large combinatorial structures. This course introduces the symbolic method to derive functional relations among ordinary, exponential, and multivariate generating functions, and methods in complex analysis for deriving accurate asymptotics from the GF equations.

Analytic Combinatorics, Part I (Coursera) 0 个评论 关注

开始时间: 02/08/2013 持续时间: 5 weeks

主页: https://www.coursera.org/course/introACpartI

简介: This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part I covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings.

Analytic Combinatorics, Part II (Coursera) 0 个评论 关注

开始时间: 03/29/2013 持续时间: 6 weeks

主页: https://www.coursera.org/course/introACpartII

简介: This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part II introduces the symbolic method to derive functional relations among ordinary, exponential, and multivariate generating functions, and methods in complex analysis for deriving accurate asymptotics from the GF equations.

Analytic Number Theory (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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).

Applied math (Khan Academy) 0 个评论 关注

开始时间: 随时 持续时间: 未知

主页: http://www.khanacademy.org/math/applied-math

简介: Explore the greatest problems we have faced from prehistoric through modern times.

Arithmetic and pre-algebra (Khan Academy) 0 个评论 关注

开始时间: 随时 持续时间: 未知

主页: http://www.khanacademy.org/math/arithmetic

简介: The first math topic. Start here if you want to learn the basics (or just want to make sure you know these topics). After this, you should be ready for algebra. This topic includes videos from the former developmental math playlists.

Behavior of Algorithms (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.

Calculus (Khan Academy) 0 个评论 关注

开始时间: 随时 持续时间: 未知

主页: http://www.khanacademy.org/math/calculus

简介: Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)

Calculus of Several Variables (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-022-calculus-of-several-variables-fall-2010

简介: This is a variation on 18.02 Multivariable Calculus. It covers the same topics as in 18.02, but with more focus on mathematical concepts.

Calculus One (Coursera) 4 个评论 关注

开始时间: 01/24/2014 持续时间: 14 weeks

主页: https://www.coursera.org/course/calc1

简介: Calculus One is a first introduction to differential and integral calculus, emphasizing engaging examples from everyday life.

Calculus One (Coursera) 0 个评论 关注

开始时间: 待定 持续时间: Unknown

主页: https://www.coursera.org/course/calculus1

简介: Calculus One is a first introduction to differential and integral calculus, emphasizing engaging examples from everyday life.

Calculus Two: Sequences and Series (Coursera) 1 个评论 关注

开始时间: 03/01/2014 持续时间: 6 weeks

主页: https://www.coursera.org/course/sequence

简介: Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"

Calculus with Applications (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-013a-calculus-with-applications-spring-2005

简介: This course features a collection of learning tools, including a set of interactive

Calculus with Theory (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-014-calculus-with-theory-fall-2010

简介: This is the first course in a two-part sequence on Calculus with Theory, 18.014 and 18.024. The course is taught using the textbook by T. Apostol, "Calculus" Vol. I Second Edition (1967) and the additional course notes by James Raymond Munkres, Professor of Mathematics, Emeritus.

Calculus: Single Variable (Coursera) 4 个评论 关注

开始时间: 待定 持续时间: Unknown

主页: https://www.coursera.org/course/calcsing

简介: This course provides a brisk, entertaining treatment of differential and integral calculus, with an emphasis on conceptual understanding and applications to the engineering, physical, and social sciences.

Category Theory for Scientists (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-s996-category-theory-for-scientists-spring-2013

简介: The goal of this class is to prove that category theory is a powerful language for understanding and formalizing common scientific models. The power of the language will be tested by its ability to penetrate into taken-for-granted ideas, either by exposing existing weaknesses or flaws in our understanding, or by highlighting hidden commonalities across scientific fields.

Çok Değişkenli Fonksiyonlarda Türev ve Entegral (Coursera) 0 个评论 关注

开始时间: 09/29/2014 持续时间: 7 weeks

主页: https://www.coursera.org/course/multivar

简介: Ders çok değişkenli fonksiyonlarda türev ve entegral kavramlarını geliştirmek ve bu konulardaki problemleri çözme yöntemlerini sunmaktadır. Ders gerçek yaşamdan gelen uygulamaları da tanıtmaya önem veren “içerikli yaklaşımla” tasarlanmıştır.

Çok Değişkenli Fonksiyonlarda Türev ve Entegral II: İleri Konular ve Uygulamalar / Multivariable Calculus II: Applications and A (Coursera) 0 个评论 关注

开始时间: 08/04/2014 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. 

College Algebra (Udacity) 0 个评论 关注

开始时间: 随时 持续时间: 自主

主页: https://www.udacity.com/course/ma008

简介: In this course, you will learn...

To translate word problems into mathematical expressions or equations
To manipulate algebraic expressions and solve equations
To graph different types of functions and to understand the relationship between a function’s graph and its equation
To be able to model growth and decay

Combinatorial Analysis (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-314-combinatorial-analysis-fall-2005

简介: This course analyzes combinatorial problems and methods for their solution. Prior experience with abstraction and proofs is helpful. Topics include: Enumeration, generating functions, recurrence relations, construction of bijections, introduction to graph theory, network algorithms and, extremal combinatorics.

Combinatorial Optimization (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.

Combinatorial Theory: Hyperplane Arrangements (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.

Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 持续时间: 未知

主页: http://ocw.mit.edu/courses/mathematics/18-315-combinatorial-theory-introduction-to-graph-theory-extremal-and-enumerative-combinatorics-spring-2005

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.

Common Core in Action: Math Formative Assessment (Coursera) 0 个评论 关注

开始时间: 待定 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.

Commutative Algebra (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.

Complex Variables with Applications (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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

Complex Variables with Applications (MIT OCW) 0 个评论 关注

开始时间: 01/01/2014 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.