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数学 公开课(字母序)

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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

主页: http://ocw.mit.edu/courses/mathematics/18-152-introduction-to-partial-differential-equations-fall-2005

简介: This course provides a solid introduction to Partial Differential Equations for advanced undergraduate students. The focus is on linear second order uniformly elliptic and parabolic equations.

Introduction to Probability - The Science of Uncertainty (EdxArchive) 3 个评论 关注

开始时间: 04/22/2022 持续时间: 16 weeks

主页: https://www.edx.org/archive/introduction-probability-science-mitx-6-041x-0

简介: An introduction to probabilistic models, including random processes and the basic elements of statistical inference.

Introduction to Probability and Statistics (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/18-05-introduction-to-probability-and-statistics-spring-2005

简介: This course provides an elementary introduction to probability and statistics with applications. Topics include: basic probability models; combinatorics; random variables; discrete and continuous probability distributions; statistical estimation and testing; confidence intervals; and an introduction to linear regression.

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.

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.

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.

Introductory Algebra Review (Udacity) 0 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/ma004

简介: This course provides a brief review of introductory algebra topics. Topics to be covered include integer operations, order of operations, perimeter and area, fractions and decimals, scientific notation, ratios and rates, conversions, percents, algebraic expressions, linear equations, the Pythagorean theorem, and graphing.

Linear algebra (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/linear-algebra

简介: Matrices, vectors, vector spaces, transformations, eigenvectors/values. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

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

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.

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.

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 (

Linear Differential Equations (EdxArchive) 0 个评论 关注

开始时间: 04/22/2022 持续时间: 6 weeks

主页: https://www.edx.org/archive/linear-differential-equations-bux-math226-2x

简介:

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.

Linear Partial Differential Equations: Analysis and Numerics (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-analysis-and-numerics-fall-2010

简介: This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems.

Matemáticas y movimiento (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/precalculo

简介: El curso propone un acercamiento a la Matemática Preuniversitaria donde el contexto del movimiento en línea recta dará significado al conocimiento y la tecnología será el medio para interactuar con el mismo.

Mathematical Exposition (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/18-091-mathematical-exposition-spring-2005

简介: This course provides techniques of effective presentation of mathematical material. Each section of this course is associated with a regular mathematics subject, and uses the material of that subject as a basis for written and oral presentations. The section presented here is on chaotic dynamical systems.

Mathematical Methods for Engineers 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/18-086-mathematical-methods-for-engineers-ii-spring-2006

简介: This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.

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.

Mathematical Statistics (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/18-466-mathematical-statistics-spring-2003

简介: Mathematical Statistics is a graduate-level course based upon a book in progress by Prof. Dudley. Copies of the book chapters and sections are presented as 

Measure and Integration (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/18-125-measure-and-integration-fall-2003

简介: This graduate-level course covers Lebesgue's integration theory with applications to analysis, including an introduction to convolution and the Fourier transform.

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.

Multivariable Calculus (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/18-02sc-multivariable-calculus-fall-2010

简介: This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

Multivariable Calculus (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/18-02-multivariable-calculus-fall-2007

简介: This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.

Multivariable Calculus (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/18-02-multivariable-calculus-spring-2006

简介: This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include Vectors and Matrices, Partial Derivatives, Double and Triple Integrals, and Vector Calculus in 2 and 3-space.

Multivariable Calculus with 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/18-024-multivariable-calculus-with-theory-spring-2011

简介: This is the second 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.

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.

Nonlinear Dynamics I: 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/18-353j-nonlinear-dynamics-i-chaos-fall-2012

简介: This course provides an introduction to nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in engineering and science.

Nonlinear dynamics: Chaos, and what to do about it? (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/chaosbook

简介: An advanced introduction to nonlinear dynamics, with emphasis on methods used to analyse chaotic dynamical systems encountered in science and engineering.

Numerical Methods for 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/18-336-numerical-methods-for-partial-differential-equations-spring-2009

简介: This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods.

Parallel Computing (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/18-337j-parallel-computing-fall-2011

简介: This is an advanced interdisciplinary introduction to applied parallel computing on modern supercomputers. It has a hands-on emphasis on understanding the realities and myths of what is possible on the world's fastest machines. We will make prominent use of the

Pre-Calculus (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/precalc

简介: Se trata de un curso pensado para facilitar la entrada del estudiante en los cursos de cálculo de primer semestre de prácticamente cualquier grado universitario, con especial énfasis en Ciencias e Ingeniería.

Pre-Calculus (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/precalculus

简介: This class prepares students for eligibility to enroll in the first semester of single variable calculus.

Pre-Calculus: Functions (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/pre-calculus

简介: This course covers mathematical topics in college algebra, with an emphasis on functions. The course

Pre-Calculus: Trigonometry (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/trigonometry

简介: This course covers mathematical topics in trigonometry. Trigonometry is the study of triangle angles

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.

Preparing for the AP* Calculus AB and BC Exams (Part 2 - Integral 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/apcalcpart2

简介: This is a 6 week course covering the second part of AP* Calculus curriculum which includes integration rules, techniques 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.

Preparing for the AP* Calculus AB Exam (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/apcalc

简介: This six week course will help students prepare for the AP* Calculus AB Exam. * AP Calculus is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.

Preparing for the AP* Statistics Exam (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/apstat

简介: This course is designed for high school students preparing to take the AP* Statistics Exam. * AP Statistics is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.

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.

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/18-311-principles-of-applied-mathematics-spring-2009

简介: This course is about mathematical analysis of continuum models of various natural phenomena. Such models are generally described by partial differential equations (PDE) and for this reason much of the course is devoted to the analysis of PDE. Examples of applications come from physics, chemistry, biology, complex systems: traffic flows, shock waves, hydraulic jumps, bio-fluid flows, chemical reactions, diffusion, heat transfer, population dynamics, and pattern formation.

Probability and Random Variables (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/18-440-probability-and-random-variables-spring-2011

简介: This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem.

Probability and Statistics (Khan Academy) 1 个评论 关注

开始时间: 04/22/2022 持续时间: 自主

主页: https://www.khanacademy.org/math/probability

简介: Introduction of the basics of Probability and Statistics

Problem Solving Seminar (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-s34-problem-solving-seminar-fall-2007

简介: This course, which is geared toward Freshmen, is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving. Students in this course are expected to compete in a nationwide mathematics

Project Laboratory in 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/18-821-project-laboratory-in-mathematics-spring-2013

简介: is a course designed to give students a sense of what it's like to do mathematical research. In teams, students explore puzzling and complex mathematical situations, search for regularities, and attempt to explain them mathematically. Students share their results through professional-style papers and presentations.

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.

Random Matrix Theory and Its 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/18-996-random-matrix-theory-and-its-applications-spring-2004

简介: This course is an introduction to the basics of random matrix theory, motivated by engineering and scientific applications.

Random Walks and Diffusion (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/18-366-random-walks-and-diffusion-fall-2006

简介: This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities.

Real 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/18-100c-real-analysis-fall-2012

简介: This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts and teaches an understanding and construction of proofs. MIT students may choose to take one of three versions of Real Analysis; this version offers three additional units of credit for instruction and practice in written and oral presentation.

Recreational mathematics (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/recreational-math

简介: