uk: Машинобудування/Технологія

uk: Науки про Землю(крім географії)

uk: Математика, природничі науки

uk: Фізика, Астрономія

description:
This resource presents a collection of essays developed from the author's experience teaching the course *12.800 Fluid Dynamics of the Atmosphere and Ocean*, offered to graduate students entering the [MIT/WHOI Joint Program in Oceanography](http://mit.whoi.edu/). The collection includes the following three essays:

**Essay 1: Lagrangian and Eulerian Representations of Fluid Flow**

- Part 1: Kinematics and the Equations of Motion
- Part 2: Advection of Parcels and Fields

**Essay 2: Dimensional Analysis of Models and Data Sets: Similarity Solutions and Scaling Analysis**

**Essay 3: A Coriolis Tutorial**

- Part 1: The Coriolis Force, Inertial and Geostrophic Motion
- Part 2: A Rotating Shallow Water Model and Geostrophic Adjustment
- Part 3: Beta Effects and Western Propagation
- Part 4: Wind-Driven Ocean Circulation and the Sverdrup Relation
- Part 5: On the Seasonally-Varying Circulation of the Arabian Sea

The goal of this resource is to help each student master the concepts and mathematical tools that make up the foundation of classical and geophysical fluid dynamics. These essays treat these topics in considerably greater depth than a comprehensive fluids textbook can afford, and they are accompanied by data files (MATLAB® and Fortran) to allow some application and experimentation. They should be suitable for self-study.

uk: вхід без авторизації


Terrascope

Massachusetts Institute of Technology

addressCountry: US

addressLocality: Cambridge

addressRegion: Massachusetts

type: Organization

Ari Epstein

honorificPrefix: Dr.

type: Person

David McGee

honorificPrefix: Prof.

keywords:
Engineering
Science
Earth Science
Environmental Engineering

cs: Technické vědy

de: Ingenieurwissenschaften

fi: tekniikka

uk: Інженерія

en: Engineering Sciences

fr: Ingénierie

da: Ingeniørvidenskab

es: Ingeniería

nl: Engineering

de: Geowissenschaften (ohne Geographie)

uk: Науки про Землю(крім географії)

en: Geosciences (excl. Geography)

de: Mathematik, Naturwissenschaften

uk: Математика, природничі науки

en: Mathematics, Natural Sciences

description:
At the core of Terrascope is one basic but important idea: MIT students, even in their first year, are ready to take control of their own education and tackle big, important problems. Every year Terrascope explores a different issue, and it’s the students who take command. You will work in teams to develop solutions, drawing on diverse perspectives, interdisciplinary research and the resources of the Terrascope community. Along the way, you’ll develop the real-world skills necessary to address sustainability-related challenges, and you will learn about how to organize teams around complex problems of any kind.

In the fall class, [*Solving Complex Problems*](https://terrascope.mit.edu/portfolio_page/12-000/)*,* you will develop solutions and present them to a panel of experts. In the spring semester there are two optional classes: [*Design for Complex Environmental Issues*](https://terrascope.mit.edu/portfolio_page/1-016/), in which you will design and prototype specific technologies that address aspects of the year’s Terrascope challenge; and [*Terrascope Radio*](https://terrascope.mit.edu/portfolio_page/sp-360/), in which you will create a radio program to communicate your ideas to the general public.

MIT OpenCourseWare

type: Service

type: WebContent

@language: en

cs: přihlášení není vyžadováno

de: keine Anmeldung erforderlich

uk: вхід без авторизації

en: no login required

nl: geen login vereist

cs: Kurz

de: Kurs

fi: Kurssi

uk: Курс

en: Course

fr: Cours

da: Kursus

nl: Cursus

es: Curso


The Roosevelt Project

keywords:
Economics
Social Science
Public Administration
Energy
Public Policy
Climate
Environmental Policy

de: Sozialwissenschaften/Soziologie

uk: Суспільні науки та соціологія

en: Social Sciences/Sociology

de: Volkswirtschaftslehre

uk: Економіка

en: Economics

de: Verwaltungswissenschaften

uk: Управління та адміністрування

en: Administrative Sciences

de: Rechts-, Wirtschafts- und Sozialwissenschaften

uk: Право, економіка та суспільні науки

en: Law, Economics and Social Sciences

de: Wirtschaftswissenschaften

uk: Бізнес та економіка

en: Business and Economics

description: This project looks to combine the legacies of these three titans of American history, including Theodore Roosevelt, Franklin Roosevelt, and Eleanor Roosevelt, to develop policy priorities and an action plan that will enable us to move beyond the false choice of economic growth or environmental security.

uk: вхід без авторизації


MIT Sloan Teaching Resources Library

keywords:
Entrepreneurship
Management
Leadership
Business
Finance
Operations Management
Organizational Behavior
Accounting

de: Betriebswirtschaftslehre

uk: Бізнес-адміністрування

en: Business Administration

uk: Право, економіка та суспільні науки

uk: Бізнес та економіка

description:
Sloan's [Teaching Resources Library](https://mitsloan.mit.edu/teaching-resources-library/about-teaching-resources-library) provides open access to case studies and management simulations for management educators and students worldwide. This collection of teaching materials and games focuses on areas in which Sloan's innovative research and teaching are on the cutting edge, including action learning, entrepreneurship, leadership and ethics, operations management, strategy, sustainability, and system dynamics.

Formerly known as *LearningEdge*, and *MIT Sloan Teaching Innovation Resources (MSTIR)*.

[Online Publication](https://mitsloan.mit.edu/teaching-resources-library/about-teaching-resources-library)

uk: вхід без авторизації


keywords:
Management
Economics
Social Science
Public Administration
Business
Finance
Public Policy
Public Economics
Accounting

uk: Суспільні науки та соціологія

uk: Бізнес-адміністрування

uk: Управління та адміністрування

uk: Право, економіка та суспільні науки

uk: Бізнес та економіка

description: Federal credit programs involve a unique set of challenges and opportunities. This practical training course for executive and legislative branch decision-makers and staff is aimed at enhancing the understanding of the core financial principles necessary to most effectively design and run those programs. It brings together institutional analysis, risk management and corporate finance disciplines for the purpose of improving the management of federal credit agency resources.

uk: вхід без авторизації

name: Mission & Metrics: Finance Training for Federal Credit Program Professionals


Shaping the Future of Work (15.662x)

keywords: Industrial Relations and Human Resource Management

uk: Суспільні науки та соціологія

uk: Бізнес-адміністрування

uk: Управління та адміністрування

uk: Право, економіка та суспільні науки

uk: Бізнес та економіка

description: The goal of this course is to explore and develop plans of action for improving the job and career opportunities for today and tomorrow's workforce. If we take the right actions we can shape the future of work in ways that meet the needs of workers, families, and their economies and societies. To do so we first have to understand how the world of work is changing, how firms can compete and prosper and support good jobs and careers, and how to update the policies and practices governing the world of work.

uk: вхід без авторизації


keywords:
Management
Business
Operations Management
Organizational Behavior

uk: Бізнес-адміністрування

uk: Право, економіка та суспільні науки

uk: Бізнес та економіка

description: This one-day workshop provides a brief overview of system dynamics and a hands-on simulation experience. It also serves as a preview of the more in-depth coverage of the subject available in other courses offered at MIT Sloan.

uk: вхід без авторизації

name: System Dynamics: Systems Thinking and Modeling for a Complex World


Healthcare Finance (15.482x)

keywords:
Management
Health Care Management
Business
Finance

uk: Бізнес-адміністрування

uk: Право, економіка та суспільні науки

uk: Бізнес та економіка

description:
Healthcare Finance (15.482x) provides students with the background, resources, and framework to influence the healthcare industry. Topics include applying financial techniques such as portfolio theory, securitization, and option pricing to biomedical contexts to develop more efficient funding structures to reduce financial risks, lower the cost of capital, and bring more life-saving therapies to patients faster.

As part of the [Open Learning Library](https://openlearning.mit.edu/courses-programs/open-learning-library), this course is free to use. You have the option to sign up and enroll if you want to track your progress, or you can view and use all the materials without enrolling.

uk: вхід без авторизації


Lean Enterprise en Español

keywords:
Leadership
Health Care Management
Business
Operations Management
Project Management

uk: Бізнес-адміністрування

uk: Право, економіка та суспільні науки

uk: Бізнес та економіка

description:
Este curso contiene un subconjunto de material en español del curso 16.660J (en Inglés). Para la versión en Inglés, por favor vea [16.660J Introduction to Lean Six Sigma Methods January IAP 2012](/courses/16-660j-introduction-to-lean-six-sigma-methods-january-iap-2012/).

El programa presenta los fundamentos del pensamiento Lean a través de conceptos y herramientas prácticas y aplicables. Este curso cubre los principios fundamentales, prácticas y herramientas de una empresa Lean, incluyendo Lean Six Sigma y otros métodos de enfoques modernos para la productividad organizacional. El curso incluye ejemplos y ejercicios aplicados en la industria aeroespacial, automotriz, servicios de salud y otros sectores. La metodología es altamente interactiva con simulaciones y ejercicios orientados hacia el aprendizaje de conceptos aplicados en experiencias grupales, incluyendo una simulación Lego®, tour virtual a fábricas, charlas de expertos entre otros. Este curso fue ofrecido en la Pontificia Universidad Católica de Chile a través del Centro de Excelencia en Gestión de Producción (GEPUC) de 17 a 19 abril, 2013.

## MIT Professional Education

**Conecta A Los Profesionales Con Conocimiento Y Expertise Avanzado A Traves De Entrenamiento Y Capacitacion**

Los cursos y programas ofrecidos por MIT Professional Education son diseñados por expertos de MIT para conectar a profesionales de la industria con los últimos avances tecnológicos y de conocimiento. La inmersión en un intenso ambiente de aprendizaje permite a profesionales alrededor del mundo la oportunidad de acceder a información crucial para nutrir sus carreras, generar un mayor desarrollo empresarial e impactar al mundo. Nuestros programas le entregan a los participantes acceso inigualable a los mayores expertos de cada área. Esta experiencia de aprendizaje altamente focalizada les permite acceder a tópicos de interés vital y compartir con expertos reconocidos a nivel mundial además de incorporarse a una red internacional de colegas talentosos.

Para mayor información acerca de los programas de MIT Professional Education favor visitar: [http://professionaleducation.mit.edu](https://professional.mit.edu/).

uk: вхід без авторизації


How to CAD Almost Anything

keywords:
Engineering
Mechanical Engineering
Aerospace Engineering

de: Maschinenbau/Verfahrenstechnik

uk: Машинобудування/Технологія

en: Mechanical Engineering / Process Engineering

de: Luft- und Raumfahrttechnik

uk: Авіаційна та ракетно-космічна техніка

en: Aeronautical and Aerospace Engineering

de: Verkehrstechnik, Nautik

uk: Транспортні технології/Мореплавство

en: Traffic Engineering, Nautical Science

description:
Have you ever wondered how objects from our daily lives are designed? How can we generate a computer 3D model of a mug, a bottle of Diet Coke, or a Saturn V rocket? What about designing the blades of a jet engine? A test dummy? How about making an animation of a LEGO house building itself? Or making a realistic render of a bowl of fruit? In this workshop, you will learn skills to design all these and much more!

How to CAD Almost Anything introduces students to CAD (Computer-Aided Design) through various fun examples focused on reverse engineering. In contrast to traditional mechanical design courses, this workshop emphasizes the design process itself, understanding how to plan and best leverage our available tools to arrive at our desired result. Thus, the sessions are less about following the instructions on an engineering drawing and more about independent thinking and strategizing, such as reverse engineering an object into a 3D model.

Come and learn how to CAD almost anything!

This supplemental resource offers links to the class’s [Solidworks](https://github.com/andyeske/How-to-CAD-Almost-Anything), [Fusion 360](https://github.com/andyeske/How-to-CAD-Fusion-360), [Onshape](https://github.com/andyeske/How-to-CAD-Onshape), and [Siemens NX](https://github.com/andyeske/How-to-CAD-Siemens-NX) website materials and companion playlists of the [Solidworks](https://www.youtube.com/playlist?list=PLxiALKuvAoddtyBnQUduHkDVHUAijcOkD), [Fusion 360,](https://www.youtube.com/playlist?list=PLxiALKuvAodfboaROQrveakYydxY2DKEq) [Onshape](https://www.youtube.com/playlist?list=PLxiALKuvAodeYAdE6FSXwHHHbT36BatgZ), and [Siemens NX](https://www.youtube.com/playlist?list=PLxiALKuvAoddTHjXga9Hhnw24mcu24jaJ) session recordings on YouTube.

uk: вхід без авторизації


MIT Election Data + Science Lab

keywords:
Social Science
Political Science
American Politics

uk: Суспільні науки та соціологія

uk: Право, економіка та суспільні науки

description:
The [MIT Election Data and Science Lab](https://electionlab.mit.edu/) (MEDSL) supports advances in election science by collecting, analyzing, and sharing core data and findings. The lab also aims to build relationships with election officials and others to help apply new scientific research to the practice of democracy in the United States.

By applying scientific principles to how elections are studied and administered, MEDSL aims to improve the democratic experience for all U.S. voters.

The MIT Election Lab is a founding partner in the [Stanford-MIT Healthy Elections Project](http://web.mit.edu/healthyelections/www/), which was developed to ensure that the 2020 election can proceed with integrity, safety, and equal access. The project aims to do this by bringing together academics, civic organizations, election administrators, and election administration experts to assess and promote best practices.

uk: вхід без авторизації


MIT Governance Lab

keywords:
Social Science
Political Science

uk: Суспільні науки та соціологія

uk: Право, економіка та суспільні науки

description:
The [MIT Governance Lab](https://mitgovlab.org/) (MIT GOV/LAB) is an applied research group and ideas incubator that aims to improve democracy and governance by changing practice around corruption, government accountability, and citizen voice. Our model combines behavioral political science, experimental social science, design thinking, and evaluation to iterate on governance solutions that support people’s ability to hold the government to account.

We partner with in-country practitioners, including government, civil society, and social enterprises, at every stage of the research and learning process, from theory building to theory testing, to critical reflections and adaptations in real time, with the goal of contributing to a solid evidence base to strengthen the overall field of practice for participatory governance.

To learn more about our work, check out our latest [updates](https://mitgovlab.org/news/), tools, guides, and other [resources](https://mitgovlab.org/resources/), as well as published [research](https://mitgovlab.org/research/), or be in touch [mitgovlab@mit.edu](mailto:mitgovlab@mit.edu).

uk: вхід без авторизації


Calculus Online Textbook

keywords:
Mathematics
Differential Equations
Calculus

cs: Matematika

de: Mathematik

fi: matematiikka

uk: Математика

en: Mathematics

fr: Mathématiques

da: Matematik

es: Matemáticas

nl: Wiskunde

uk: Математика, природничі науки

description: First published in 1991 by [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), this updated 3rd edition of the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online {{% resource_link "431a3397-6884-4494-91e6-9be4bbda31b3" "Instructor's Manual" %}} and a student {{% resource_link "941579e3-5f78-47fa-bc27-73cacae1ee53" "Study Guide" %}}.

uk: вхід без авторизації


Introduction to MATLAB

keywords:
Engineering
Computer Science
Mathematics
Systems Engineering
Applied Mathematics
Programming Languages
Computational Modeling and Simulation

cs: Informatika

de: Informatik

fi: tietojenkäsittelytiede

uk: Комп'ютерні науки

en: Computer Science

fr: Informatique

da: Datalogi

es: Ciencias de la Computación

nl: Informatica

uk: Математика, природничі науки

description:
This course was offered as a non-credit program during the [Independent Activities Period (IAP)](http://web.mit.edu/iap/about/index.html), January 2008. A more recent version is available as course [_18.S997 Introduction To MATLAB Programming_](/courses/18-s997-introduction-to-matlab-programming-fall-2011/), including video lectures.

The course, intended for students with no programming experience, provides the foundations of programming in MATLAB®. Variables, arrays, conditional statements, loops, functions, and plots are explained. At the end of the course, students should be able to use MATLAB in their own work, and be prepared to deepen their MATLAB programming skills and tackle other languages for computing, such as Java, C++, or Python.

The course mostly follows the official [MATLAB Manual](http://www.mathworks.com/access/helpdesk/help/pdf_doc/matlab/getstart.pdf), available from [The MathWorks](http://www.mathworks.com/). We will cover material from chapters 2-5.

uk: вхід без авторизації


Calculus for Beginners and Artists

uk: Математика, природничі науки

description:
This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician.

[Online Publication](http://www-math.mit.edu/~djk/calculus_beginners/)

uk: вхід без авторизації


keywords:
Teaching and Education
Curriculum and Teaching
Higher Education

de: Erziehungswissenschaften

uk: Педагогічні науки

en: Educational Sciences

uk: Право, економіка та суспільні науки

description:
“*Getting an education at MIT is like trying to drink from a firehose.*”

— folk saying

*The Torch or The Firehose: A Guide to Section Teaching*, by MIT Mathematics Professor Arthur Mattuck, is a guide to recitation teaching at MIT. During a typical recitation section, a teaching assistant (TA) meets with a small group of students to review the most recent lecture, expand on the concepts, work through practice problems, and conduct a discussion with the students. With good humor and sound advice, Professor Mattuck offers both novice and seasoned recitation instructors guidelines on how sections can best serve as a complement to lectures, how to help students become better learners, and how to enjoy their experience as recitation teachers. Lecturers claim they have learned something from it, too.

This content was first published as a printed booklet in 1981. This is the second edition. It has had a wide distribution, both at MIT and other universities, since it first appeared. It is finally available in digital format to allow broader distribution and use of this valuable material.

If any significant changes are required to adapt it to the needs of another institution, please clearly notify readers that the work is modified from the orginal version and provide a link to this web site. For archival purposes, translators should notify [MIT OpenCourseWare](https://ocw.mit.edu/contact/) of their version.

uk: вхід без авторизації


Highlights of Calculus

uk: Математика, природничі науки

description:
Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject. The series is divided into three sections:

Introduction

- Why Professor Strang created these videos
- How to use the materials

Highlights of Calculus

- Five videos reviewing the key topics and ideas of calculus
- Applications to real-life situations and problems
- Additional summary slides and practice problems

Derivatives

- Twelve videos focused on differential calculus
- More applications to real-life situations and problems
- Additional summary slides and practice problems

About the Instructor

Professor Gilbert Strang is a renowned mathematics professor who has taught at MIT since 1962. [Read more about Prof. Strang](http://www-math.mit.edu/~gs/).

Acknowledgements

Special thanks to Professor J.C. Nave for his help and advice on the development and recording of this program.

The video editing was funded by the Lord Foundation of Massachusetts.

uk: вхід без авторизації


uk: Математика, природничі науки

description:
Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.

About the Instructor

Herb Gross has taught math as senior lecturer at MIT and was the founding math department chair at Bunker Hill Community College. He is the developer of the [Mathematics As A Second Language](http://www.mathasasecondlanguage.org/) website, providing arithmetic and algebra materials to elementary and middle school teachers.

Acknowledgements

Funding for this resource was provided by the [Gabriella and Paul Rosenbaum Foundation](http://www.rosenbaum-foundation.org/).

### Other Resources by Herb Gross

[Calculus Revisited: Multivariable Calculus](/courses/res-18-007-calculus-revisited-multivariable-calculus-fall-2011/)

[Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra](/courses/res-18-008-calculus-revisited-complex-variables-differential-equations-and-linear-algebra-fall-2011/)

uk: вхід без авторизації

name: Calculus Revisited: Single Variable Calculus


uk: Математика, природничі науки

description:
Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. _Multivariable Calculus_ is the second course in the series, consisting of 26 videos, 4 Study Guides, and a set of Supplementary Notes. The series was first released in 1971 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.

**About the Instructor**

Herb Gross has taught math as senior lecturer at MIT and was the founding math department chair at Bunker Hill Community College. He is the developer of the [Mathematics As A Second Language](http://www.mathasasecondlanguage.org/) website, providing arithmetic and algebra materials to elementary and middle school teachers.

**Acknowledgements**

Funding for this resource was provided by the [Gabriella and Paul Rosenbaum Foundation](http://www.rosenbaum-foundation.org/).

### Other Resources by Herb Gross

[Calculus Revisited: Single Variable Calculus](/courses/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/)

[Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra](/courses/res-18-008-calculus-revisited-complex-variables-differential-equations-and-linear-algebra-fall-2011/)

uk: вхід без авторизації

name: Calculus Revisited: Multivariable Calculus


keywords:
Mathematics
Linear Algebra
Differential Equations
Calculus

uk: Математика, природничі науки

description:
Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. _Complex Variables, Differential Equations, and Linear Algebra_ is the third course in the series, consisting of 20 Videos, 3 Study Guides, and a set of Supplementary Notes. Students should have mastered the first two courses in the series ([Single Variable Calculus](/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/index.htm) and [Multivariable Calculus](/resources/res-18-007-calculus-revisited-multivariable-calculus-fall-2011/index.htm)) before taking this course.

The series was first released in 1972, but equally valuable today for students who are learning these topics for the first time.

About the Instructor

Herb Gross has taught math as senior lecturer at MIT and was the founding math department chair at Bunker Hill Community College. He is the developer of the [Mathematics As A Second Language](http://www.mathasasecondlanguage.org/) website, providing arithmetic and algebra materials to elementary and middle school teachers.

Acknowledgements

Funding for this resource was provided by the [Gabriella and Paul Rosenbaum Foundation](http://www.rosenbaum-foundation.org/).

_Other Resources by Herb Gross_

[Calculus Revisited: Single Variable Calculus](/courses/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/)
[Calculus Revisited: Multivariable Calculus](/courses/res-18-007-calculus-revisited-multivariable-calculus-fall-2011/)

uk: вхід без авторизації

name: Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra


keywords:
Engineering
Computer Science
Mathematics
Applied Mathematics
Programming Languages
Linear Algebra
Differential Equations

de: Ingenieurwissenschaften

en: Engineering Sciences

uk: Комп'ютерні науки

uk: Математика, природничі науки

description:
*Learn Differential Equations: Up Close with* *\_Gilbert Strang* and\_ *Cleve Moler* is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy.

About the Instructors

Gilbert Strang is the MathWorks Professor of Mathematics at MIT. His research focuses on mathematical analysis, linear algebra and PDEs. He has written textbooks on linear algebra, computational science, finite elements, wavelets, GPS, and calculus.

Cleve Moler is chief mathematician, chairman, and cofounder of MathWorks. He was a professor of math and computer science for almost 20 years at the University of Michigan, Stanford University, and the University of New Mexico.

These videos were produced by [The MathWorks{{\< sup "®" >}}](http://in.mathworks.com/) and are also available on [The MathWorks website](http://in.mathworks.com/academia/courseware/learn-differential-equations.html).

uk: вхід без авторизації

name: Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler


A Vision of Linear Algebra

keywords:
Mathematics
Linear Algebra

name: Intro: A New Way to Start Linear Algebra

name: Part 6: Finding the Nullspace: Solving Ax = 0 by Elimination

name: Part 5: Singular Values and Singular Vectors

name: Part 2: The Big Picture of Linear Algebra

uk: Математика, природничі науки

description:
This collection of videos presents Professor Strang’s updated vision of how linear algebra could be taught.

It starts with six brief videos, recorded in 2020, containing many ideas and suggestions about the recommended order of topics in teaching and learning linear algebra. Topics include *A New Way to Start Linear Algebra*, *The Column Space of a Matrix,* *The Big Picture of Linear Algebra,* *Orthogonal Vectors,* *Eigenvalues and Eigenvectors,* and *Singular Values and Singular Vectors.*

An additional brief video, recorded in 2021, *Finding the Nullspace: Solving Ax = 0 by Elimination*, computes the nullspace of any matrix *A*.

In 2023, Professor Strang recorded a new one-hour video, *Five Factorizations of a Matrix,* providing an overall look at linear algebra by highlighting five different ways that a matrix gets factored.

Two more videos were added in 2024: *The Four Fundamental Subspaces and Least Squares* and *Elimination and Factorization A = CR*

uk: вхід без авторизації


uk: Математика, природничі науки

uk: вхід без авторизації

cs: Video

de: Video

fi: Video

uk: Відео

en: Video

fr: Vidéo

da: Video

nl: Video

es: Video


Part 4: Eigenvalues and Eigenvectors

de: Mathematik, Naturwissenschaften

uk: Математика, природничі науки

en: Mathematics, Natural Sciences

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uk: Математика, природничі науки

de: keine Anmeldung erforderlich

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en: no login required


Five Factorizations of a Matrix

uk: Математика, природничі науки

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Part 3: Orthogonal Vectors

uk: Математика, природничі науки

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uk: Математика, природничі науки

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name: The Four Fundamental Subspaces and Least Squares


Elimination and Factorization A = CR

uk: Математика, природничі науки

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uk: Математика, природничі науки

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uk: Математика, природничі науки

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Part 1: The Column Space of a Matrix

uk: Математика, природничі науки

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Algebra I Student Notes

keywords:
Mathematics
Algebra and Number Theory

uk: Математика, природничі науки

description:
Algebra I is the first semester of a year-long introduction to modern algebra. Algebra is a fundamental subject, used in many advanced math courses and with applications in computer science, chemistry, etc. The focus of this class is studying groups, linear algebra, and geometry in different forms.

These notes, which were created by students in a recent on-campus 18.701 Algebra I class, are offered here to supplement the materials included in OCW’s [version of 18.701](https://ocw.mit.edu/courses/18-701-algebra-i-fall-2010/). They have not been checked for accuracy by the instructors of that class or by other MIT faculty members.

uk: вхід без авторизації

de: Kurs

en: Course


Algebra II Student Notes

uk: Математика, природничі науки

description:
Algebra II is the second semester of a year-long introduction to modern algebra. The course focuses on group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

These notes, which were created by students in a recent on-campus 18.702 Algebra II class, are offered here to supplement the materials included in OCW’s [version of 18.702](https://ocw.mit.edu/courses/18-702-algebra-ii-spring-2011/). They have not been checked for accuracy by the instructors of that class or by other MIT faculty members.

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Topics in Fourier Analysis

keywords:
Mathematics
Mathematical Analysis

uk: Математика, природничі науки

description: The goal of these lectures is to provide an introduction to Fourier analysis. The first topic is Fourier series, in particular, the Gibbs phenomenon and the dependence of their convergence properties on the suitability method used. The second topic is the Fourier transform, first the *L*¹ theory and then, using Hermite functions, the *L*² theory. The third topic is L. Schwartz's theory of tempered distributions. The fourth topic is the theory of weak convergence of probability measures and application to a derivation of the Lévy-Khinchine formula for the Fourier transform of infinitely divisible probability measures. The final topic is the elementary theory of singular integral operators, starting with the Hilbert transform and then using the method of rations to prove the *L*ᵖ boundedness of even Calderòn-Zygmund kernels.

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Multivariable Calculus Recitation Notes

keywords: Mathematics Calculus

uk: Математика, природничі науки

description:
These lecture notes and exercises (with solutions) cover MIT's multivariable calculus sequence as taught in Fall 2024.

The course [*18.02 Multivariable Calculus*](https://ocw.mit.edu/courses/18-02sc-multivariable-calculus-fall-2010/) is a General Institute Requirement ([GIR](https://catalog.mit.edu/mit/undergraduate-education/general-institute-requirements/)); every MIT student must pass this class in order to graduate. The first third of the course is dedicated to briefly covering some basic linear algebra. The rest of the course covers the traditional multivariable calculus topics including vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2D and 3D space.

These notes were created by Evan Chen, a recitation instructor in the Fall 2024 instance of *18.02 Multivariable Calculus*. They have not been checked for accuracy by the instructor of that class or by other MIT faculty members. The notes will be updated as needed. [Comments, suggestions, and corrections are welcomed](https://web.evanchen.cc/1802.html).

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keywords:
Engineering
Mechanical Engineering
Systems Engineering
Computational Modeling and Simulation
Numerical Simulation
Solid Mechanics

uk: Машинобудування/Технологія

description:
Finite element analysis is now widely used for solving complex static and dynamic problems encountered in engineering and the sciences. In these two video courses, [Professor K. J. Bathe](http://en.wikipedia.org/wiki/Klaus-J%C3%BCrgen_Bathe), a researcher of world renown in the field of finite element analysis, teaches the basic principles used for effective finite element analysis, describes the general assumptions, and discusses the implementation of finite element procedures for linear and nonlinear analyses.

These videos were produced in 1982 and 1986 by the MIT Center for Advanced Engineering Study.

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name: Finite Element Procedures for Solids and Structures


keywords:
Engineering
Computer Science
Mechanical Engineering
Teaching and Education
Curriculum and Teaching

uk: Машинобудування/Технологія

uk: Комп'ютерні науки

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

description: The Girls Who Build: Make Your Own Wearables workshop for high school girls is an introduction to computer science, electrical and mechanical engineering through wearable technology. The workshop, developed by MIT Lincoln Laboratory, consists of two major hands-on projects in manufacturing and wearable electronics. These include 3D printing jewelry and laser cutting a purse, as well as programming LEDs to light up when walking. Participants learn the design process, 3D computer modeling, and machine shop tools, in addition to writing code and building a circuit.

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name: Girls Who Build: Make Your Own Wearables Workshop


Girls Who Build Cameras

keywords:
Engineering
Teaching and Education
Energy
Technology
Curriculum and Teaching

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

description: The Girls Who Build Cameras workshop for high school girls is a one-day, hands-on introduction to camera physics and technology (i.e. how Instagram works!) at the [MIT Lincoln Laboratory Beaverworks Center](https://beaverworks.ll.mit.edu/CMS/bw/). The workshop includes tearing down old dSLR cameras, building a Raspberry Pi camera, and designing Instagram filters and Photoshop tools. Participants also get to listen to keynote speakers from the camera technology industry, including Kris Clark who engineers space cameras for NASA and MIT Lincoln Laboratory, and Uyanga Tsedev who creates imaging probes to help surgeons find tumors at MIT. During lunch, representatives from the [Society of Women Engineers](http://societyofwomenengineers.swe.org/) and the [Women's Technology Program](http://wtp.mit.edu/) at MIT will present future opportunities to get involved in engineering in high school and college.

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Thermodynamics and Climate Change

keywords:
Science
Physics
Earth Science
Energy
Technology
Thermodynamics
Climate Studies
Fuel Cells
Hydrogen and Alternatives

de: Geowissenschaften (ohne Geographie)

uk: Науки про Землю(крім географії)

en: Geosciences (excl. Geography)

de: Physik

uk: Фізика

en: Physics

uk: Математика, природничі науки

de: Physik, Astronomie

fi: fysiikka, tähtitiede

uk: Фізика, Астрономія

en: Physics, Astronomy

fr: Physique, Astronomie

da: Fysik, Astronomi

es: Física, Astronomía

nl: Natuurkunde, Astronomie

description:
In this course you will learn the three laws of thermodynamics, explore concepts like entropy and enthalpy, and investigate the causes and effects of global warming from a thermodynamics perspective. We will also apply these concepts to learning about state-of-the-art energy conversion and storage technologies, for example heat pumps, hydrogen fuel cells, metal-air batteries, artificial photosynthesis, molten salt storage, and concentrated solar power.

This course was offered as part of [MITES Semester](https://mites.mit.edu/discover-mites/mites-semester/) (formerly MOSTEC) in Summer 2022. MITES Semester is a 6-month online program for rising high-school seniors. The program offers students an opportunity to learn about diverse science and engineering fields, strengthen their academic STEM foundation, build 21st-century skills in networking, interviewing, collaboration and presentation delivery, prepare for college, and build a strong community of peers and mentors.

MITES Semester is part of [MIT Introduction to Technology, Engineering, and Science (MITES)](https://mites.mit.edu/), which provides transformative experiences that bolster confidence, create lifelong community, and build an exciting, challenging foundation in STEM for highly motivated 7th–12th grade students from diverse and underrepresented backgrounds.

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The User-friendly Classroom

keywords:
Teaching and Education
Society
Curriculum and Teaching

uk: Педагогічні науки

de: Rechts-, Wirtschafts- und Sozialwissenschaften

uk: Право, економіка та суспільні науки

en: Law, Economics and Social Sciences

description:
The User-friendly Classroom video training series was created specifically for teaching assistants for whom English is a second language and the USA a second culture by A.C. Kemp, a lecturer in [MIT Global Languages](http://mitgsl.mit.edu/).  These videos focus on developing international teaching assistants' strategies for successful, student-centered communication in the interactive American classroom. These videos demonstrate best practices through authentic examples of successful teaching scenarios, interviews with undergraduates and advice from international teaching assistants.

These videos were created for use with the following courses:

[21G.232](/courses/21g-232-advanced-speaking-and-critical-listening-skills-els-spring-2007/) / [21G.233](/courses/21g-232-advanced-speaking-and-critical-listening-skills-els-spring-2007/) Advanced Speaking and Critical Listening (ELS)

21G.217 / 21G.218 Workshop in Strategies for Effective Teaching (ELS)

_"Special thanks to my mentor, Jane Dunphy, for her support and advice with this project."_

_\- A.C. Kemp_

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Video 1: Expectations

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

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Video 2: Phase Diagram

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

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Video 3: Lift

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

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Video 4: The First Day

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

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Video 5: Introductions

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

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Video 6: Ohm's Law (online class)

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

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Video 7: Graph Theory (online class)

uk: Педагогічні науки

uk: Право, економіка та суспільні науки

uk: вхід без авторизації


keywords: Humanities Language Chinese

de: Geisteswissenschaften

uk: Гуманітарні науки

en: Humanities

description: This online textbook represents materials that were used in the first four semesters (two years) of the Mandarin program at MIT. They eventually formed the basis of a print textbook of the same name, published by Yale University Press. The OCW course materials were extensively revised, and at times reordered, before publication, but the general principles of the original remain: to provide a comprehensive resource for the foundation levels of the Chinese language that separates the learning of oral skills from literary (the former being transcribed in pinyin, and the latter in characters). This resource contains the complete online version of the text and accompanying audio recordings.

uk: вхід без авторизації

name: Learning Chinese: A Foundation Course in Mandarin (汉语基础教材)


Kana

keywords: Humanities Language Japanese

uk: Гуманітарні науки

description:
Learning hiragana and katakana is an important part of reading and speaking Japanese. The following pages contain:

[Hiragana](/courses/res-21g-01-kana-spring-2010/pages/hiragana) - stroke order [videos](/courses/res-21g-01-kana-spring-2010/pages/hiragana#characters), pronunciation, and vocabulary for each character; reading and listening [audio exercises](/courses/res-21g-01-kana-spring-2010/pages/hiragana#exercises); [handouts](/courses/res-21g-01-kana-spring-2010/pages/hiragana#handouts) on how to construct words and sentences; interactive [quizzes](/courses/res-21g-01-kana-spring-2010/pages/hiragana#quizzes) testing character recognition; and printable [worksheets](/courses/res-21g-01-kana-spring-2010/pages/hiragana#worksheets) to practice writing characters.

[Katakana](/courses/res-21g-01-kana-spring-2010/pages/katakana) - pronunciation and vocabulary for each [character](/courses/res-21g-01-kana-spring-2010/pages/katakana#characters); reading and listening [audio exercises](/courses/res-21g-01-kana-spring-2010/pages/katakana#exercises); interactive [quizzes](/courses/res-21g-01-kana-spring-2010/pages/katakana#quizzes) testing character and vocabulary recognition; and printable [worksheets](/courses/res-21g-01-kana-spring-2010/pages/katakana#worksheets) to practice writing characters.

These materials were developed as part of the Japanese curriculum at MIT for students of all levels to learn and review. Students and instructors are encouraged to incorporate them directly or as supplements in their study of Japanese.

##### Technical Requirements

This site is encoded in Unicode (UTF-8); please check your browser settings if characters render incorrectly:

*   Internet Explorer version 6.0+ (Windows) - View → Encoding
*   Safari version 4.0+ (Mac OSX) - View → Text Encoding
*   Firefox 3.0+ (all platforms) - View → Character Encoding
*   Opera (all platforms) - View → Encoding

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uk: Гуманітарні науки

description: This is the student project for the Spring 2024 MIT course [*21G.108 Chinese II (Streamlined)*](https://ocw.mit.edu/courses/21g-108-chinese-ii-streamlined-spring-2015/). In the project, Chinese heritage language students explore various topics, including the meaning of their Chinese names. Based on their discoveries, each student creates an online book.

uk: вхід без авторизації

name: Project-Based Language Learning for Chinese II (Streamlined)


Teaching La Princesse de Clèves

keywords:
Humanities
Literature
Language
International Literature
French

uk: Гуманітарні науки

description:
This website has been designed to offer strategies for teaching this seminal work to intermediate-level college students in a way that is dynamic, engaging, and perhaps most importantly highlights the connection between Madame de Lafayette’s seventeenth-century work *La Princesse de Clèves* and the contemporary social concerns of young people in today’s world.

There was a recent heated debate in France about the modern relevance of this literary text that began when Nicolas Sarkozy suggested that the study of this text was useless. His comments incited fervent discussion in French academic, artistic, and political circles. The compelling history of the text, along with its importance in contemporary French society and culture, makes the study of this work highly relevant for students.

The *La Princesse de Clèves* website is published under a [Creative Commons Attribution-NonCommercial-ShareAlike 4.0 (CC BY-NC-SA) International](https://creativecommons.org/licenses/by-nc-sa/4.0/) license.

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uk: Гуманітарні науки

description:
This site is designed for scholars and students interested in exploring Marguerite de Navarre’s *Heptaméron* to help delve more deeply into this compelling writer and her texts. Resources are compiled on the site to allow easy access to information about Marguerite's writings and her substantial influence in debates about religion and women in sixteenth-century France; these include extensive biographies, summaries, full texts, images and media, teaching resources, films, and a space to share ideas.

The website is published under a [Creative Commons Attribution-NonCommercial-ShareAlike 4.0 (CC BY-NC-SA) International](https://creativecommons.org/licenses/by-nc-sa/4.0/) license.

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name: Teaching Marguerite de Navarre's Heptaméron


uk: Гуманітарні науки

description:
This website is designed to introduce students to Marguerite de Roberval and the sixteenth-century texts she inspired. The site includes extensive bibliographies, teaching ideas, lists of modern and Renaissance versions of her story, information about Captain Roberval and his company, early exploration of Canada, images, and other media.

The Marguerite de Roberval website is published under a [Creative Commons Attribution-NonCommercial-ShareAlike 4.0 (CC BY-NC-SA) International](https://creativecommons.org/licenses/by-nc-sa/4.0/) license.

uk: вхід без авторизації

name: Marguerite de Roberval: A Web-Based Approach to Teaching a Renaissance Heroine


Marguerite de Navarre Society Website

uk: Гуманітарні науки

description:
Recent decades have seen a sharp increase in critical interest in Marguerite de Navarre and her work. This society website is dedicated to the study of Marguerite, her network, and her historical and cultural influence. The main goals are to facilitate scholarly exchange, to encourage collaboration, and to make digital resources available to the wider community. The society seeks to bring together the multiple lines of inquiry which inspire our understanding and appreciation of Marguerite, and to inspire new ones.

The Marguerite de Navarre Society website is published under a [Creative Commons Attribution-NonCommercial-ShareAlike 4.0 (CC BY-NC-SA) International](https://creativecommons.org/licenses/by-nc-sa/4.0/) license.

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uk: Гуманітарні науки

description: This resource aims to enhance students’ learning of kanji by providing a series of video lectures that cover the kanji characters in [Tobira](https://tobiraweb.9640.jp/) lessons 1–5. The video lectures not only teach how to write kanji but also provide stories behind the kanji characters.

uk: вхід без авторизації

name: Kanji Learning Any Time, Any Place for Japanese V


uk: Гуманітарні науки

description: This resource aims to enhance students’ learning of kanji by providing a series of video lectures that cover the kanji characters in [Tobira](https://tobiraweb.9640.jp/) lessons 6–10. The video lectures not only teach how to write kanji but also provide stories behind the kanji characters.

uk: вхід без авторизації

name: Kanji Learning Any Time, Any Place for Japanese VI


keywords: Humanities Language Russian

uk: Гуманітарні науки

description:
This open-access conversation exchange site offers topics and conversation tasks for students learning Russian and English. The goal of this pilot project is to support exchanges between students in English-speaking and Russian-speaking countries.

The conversation topics included are aligned with common college-level Russian language curricula, grouped by levels defined by [ACTFL proficiency standards,](https://www.actfl.org/educator-resources/actfl-proficiency-guidelines) and utilize [OPI (Oral Proficiency Interview)](https://www.google.com/url?q=https%3A%2F%2Fwww.actfl.org%2Fassessment-research-and-development%2Factfl-assessments%2Factfl-postsecondary-assessments%2Foral-proficiency-interview-opi&sa=D&sntz=1&usg=AOvVaw05z0FmOdGnG_aPpL0kTFix) practices. Topics include vocabulary, questions, and interactive activities that can be used in conversations as well as in individual practice.

[Maria Khotimsky](https://languages.mit.edu/people/maria-khotimsky/) (MIT) initiated this project based on [conversation exchanges](https://languages.mit.edu/creating-connections-in-times-of-isolation-mit-skoltech-conversation-exchanges/) between SkolTech and MIT students, in collaboration with Dr. Marina Alexandrova (UT Austin) and Iringa Kogel (Davidson College).

The Телемосты website is published under a [Creative Commons Attribution-NonCommercial-ShareAlike 4.0 (CC BY-NC-SA) International](https://creativecommons.org/licenses/by-nc-sa/4.0/) license.

uk: вхід без авторизації

name: Телемосты (Telebridges) Russian Conversation Exchange Site


Visualizing the Birth of Modern Tokyo

keywords:
Humanities
History
Visual Arts
Fine Arts
Asian History
Modern History

de: Geschichte

uk: Історія

en: History

uk: Гуманітарні науки

de: Bildende Kunst

uk: Образотворче мистецтво

en: Fine Arts

de: Kunst, Kunstwissenschaft

uk: Мистецтво, мистецтвознавство

en: Art, Art Theory

description:
This course shows the emergence of modern Tokyo through artist renderings of its neighborhoods, daily life and nightlife, nested between its recurring destruction by natural disasters and war. Students will learn about the tradition of the “100 views,” and through these composite depictions of the city, will witness the excitement and loss of change. Kiyochika Kobayashi’s woodblock prints of Tokyo in the late 1870s convey a moody view on the cusp of change as the new capital, formerly Edo, begins modernization with Western influences. Koizumi Kishio’s depictions of the “Imperial Capital” in the 1930s show the lively cosmopolitanism and move toward ultranationalism that placed the emperor at its center.

This course is part of the [Open Learning Library](https://openlearning.mit.edu/courses-programs/open-learning-library), which is free to use. You have the option to sign up and enroll in the course if you want to track your progress, or you can view and use all the materials without enrolling.

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Heavy Metal 101

keywords:
Music
Fine Arts
Music History
Music Theory

de: Musikwissenschaft/-geschichte

uk: Музикознавство/Історія музики

en: Musicology/History of Music

de: Musik, Musikwissenschaft

uk: Музика, музикознавство

en: Music, Musicology

uk: Образотворче мистецтво

uk: Мистецтво, мистецтвознавство

description:
This is not a metallurgy class! Learn everything you ever wanted to know about Heavy Metal music. Topics of this video lecture series include musicology, history, metal culture, music theory, songwriting tropes, harsh vocal techniques, extreme metal, tech-based instruments, and how the genre tackles some of today's biggest sociopolitical challenges. You’ll find out why metal bands exist in every country on Earth, and why you're probably already a metalhead without even knowing it. This course has been rockin' MIT's [Independent Activities Period (IAP)](http://web.mit.edu/IAP/)\* since 2006!

2023 Video Lectures:

- Heavy Metal 101: Music and Culture
- The Guts of Metal - Music Theory and Songwriting with Colin Brumley
- All About Harsh Vocals – History, Application, and Technique with Paul Buckley
- History of Heavy Metal, Part I
- Connections Between Metal and Literature with Dean Swinford
- History of Heavy Metal: Part II
- GeoShred and Technology-Based Expressive Musical Instruments with Jordan Rudess
- History of Heavy Metal: Part III

The [class video lectures from 2021 to the present](https://metal.mit.edu/class-archive) are available on the site.

\**IAP is a 4-week term at MIT in January that provides members of the MIT community with an opportunity to organize, sponsor, and participate in activities and topics that are often outside of the regular MIT curriculum*.

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Angles

keywords:
Communication
Humanities
Literature
Social Science
Nonfiction Prose
Academic Writing
Creative Writing

de: Sozialwissenschaften/Soziologie

uk: Суспільні науки та соціологія

en: Social Sciences/Sociology

uk: Гуманітарні науки

uk: Право, економіка та суспільні науки

description:
_Angles_ is an annual online magazine of exemplary writing by MIT students. All of the works published in _Angles_ since its first edition in 2008 were written by students in the introductory writing courses. These courses, designated as CI-HW (Communications-Intensive Humanities Writing) subjects, bring together students who love to write, students who struggle with writing, students who thrive in seminar-style classes, and students who just want a chance to develop their English skills. These students prosper together and produce some remarkable work. Angles has provided them with a public outlet for that work. It also provides the CI-HW instructors with material that inspires and guides their current students.

In these classes, students learn to read more critically, to address specific audiences for particular purposes, to construct effective arguments and narratives, and to use and cite source material properly. Students in these courses write a great deal; they prewrite, write, revise, and edit their work for content, clarity, tone, and grammar and receive detailed feedback from instructors and classmates. Assigned readings are related to the thematic focus of each course, and are used as demonstrations of writing techniques. The pieces in _Angles_ may be used as teaching tools and practical examples for other students and self-learners to emulate.

You can find [_Angles Online_](http://cmsw.mit.edu/publications/angles/).

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keywords:
Humanities
Linguistics
Teaching and Education
Society
Latin and Caribbean Studies
Curriculum and Teaching

uk: Гуманітарні науки

de: Erziehungswissenschaften

uk: Педагогічні науки

en: Educational Sciences

uk: Право, економіка та суспільні науки

description:
The mission of the MIT-Haiti Initiative is to promote active learning in Kreyòl so that Haitians can have universal access to quality education in the language that most of them speak at home.

[Platfòm MIT-Ayiti](http://mit-ayiti.net/), launched in 2019, offers a wealth of freely accessible educational resources in Kreyòl, including downloadable lesson plans and picture books categorized by topic, alongside official curricula from Haiti's Ministry of National Education. The target audience for these resources includes students at all levels from pre-kindergarten through high school, and we offer materials in all disciplines. We also host and invite contributions from all educators who are willing to submit their own materials in Kreyòl. We work with these contributions, in *konbit* (collaborative) mode, to improve these submissions before publication. *Men anpil, chay pa lou!* (That is, many hands make light work!)

The Initiative’s original [website](http://haiti.mit.edu/), launched in 2010, includes software tools for math, physics, genetics, and biochemistry education, as well as a preliminary (work-in-progress) glossary of Kreyòl equivalents for English words commonly used in the STEM disciplines.

uk: вхід без авторизації

name: MIT-Haiti Initiative / Inisyativ MIT-Ayiti


keywords:
Engineering
Computer Science
Electrical Engineering
Robotics and Control Systems

de: Ingenieurwissenschaften

en: Engineering Sciences

de: Informatik

uk: Комп'ютерні науки

en: Computer Science

de: Elektrotechnik und Informationstechnik

uk: Електротехніка та інформаційні технології

en: Electrical Engineering and Information Engineering

description:
This is a 9-day hands-on workshop about collaboration, design, and electronics prototyping. No previous experience with computer programming or electronics is required. Beginning students will be taught everything they need to know and advanced students will be challenged to learn new skills. Participants will learn about microcontroller programming using Arduino, collaborative software development using GitHub, solderless electronics prototyping, electronic sensors, rapid prototyping, and small team management.

This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.

uk: вхід без авторизації

name: Collaborative Design and Creative Expression with Arduino Microcontrollers


keywords:
Engineering
Computer Science
Media Studies
Fine Arts
Software Design and Engineering
Digital Media
Game Design
Graphics and Visualization

de: Medienwissenschaft

uk: Медіазнавство

en: Media Science

uk: Комп'ютерні науки

uk: Образотворче мистецтво

uk: Медіазнавство

uk: Гуманітарні науки

uk: Мистецтво, мистецтвознавство

description:
This is a 9-day hands-on workshop about designing, building, and publishing simple educational videogames. No previous experience with computer programming or videogame design is required; beginning students will be taught everything they need to know and advanced students will be challenged to learn new skills. Participants will learn about videogame creation using the Unity game engine, collaborative software development using GitHub, gesture handling using the Microsoft Kinect, 3D digital object creation, videogame design, and small team management.

This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.

de: keine Anmeldung erforderlich

uk: вхід без авторизації

en: no login required

name: Learn to Build Your Own Videogame with the Unity Game Engine and Microsoft Kinect


Visualizing Materials Science

keywords:
Engineering
Mathematics
Applied Mathematics
Materials Science and Engineering
Computation

de: Mathematik

en: Mathematics

de: Mathematik, Naturwissenschaften

uk: Математика, природничі науки

en: Mathematics, Natural Sciences

description: This resource is a collection of student tutorial videos that explore various materials science and engineering topics using visualizations in the Wolfram Mathematica programming system.

uk: вхід без авторизації

de: Kurs

en: Course


keywords:
Engineering
Teaching and Education
Materials Science and Engineering
Curriculum and Teaching
Higher Education

uk: Педагогічні науки

de: Rechts-, Wirtschafts- und Sozialwissenschaften

uk: Право, економіка та суспільні науки

en: Law, Economics and Social Sciences

description: MICRO is the *Materials Initiative for Comprehensive Research Opportunity* created to provide a remote research and education experience to undergraduate students from underrepresented backgrounds. This site includes mentoring resources and online materials science curriculum provided for self-study in the program.

uk: вхід без авторизації

name: MICRO Mentoring Resources and Materials Science Curriculum


Digital Lab Techniques Manual

keywords: Science Chemistry

name: Distillation I: Simple & Fractional Distillations

de: Chemie

fi: kemia

uk: Хімія

en: Chemistry

fr: Chimie

da: Kemi

es: Química

nl: Scheikunde

uk: Математика, природничі науки

description:
The "Digital Lab Techniques Manual" is a series of videos designed to help you prepare for your chemistry laboratory class. Each video provides a detailed demonstration of a common laboratory technique, as well as helpful tips and information. These videos are meant to supplement, and not replace, your lab manual and assigned reading. In fact, you will most benefit from watching the videos if you have already read the appropriate background information. To be a great experimentalist, you must understand both theory and technique! If you have questions about what you see, make sure to ask your TA or your instructor.

WARNING NOTICE:

The experiments described in these materials are potentially hazardous and require a high level of safety training, special facilities and equipment, and supervision by appropriate individuals. You bear the sole responsibility, liability, and risk for the implementation of such safety procedures and measures. MIT shall have no responsibility, liability, or risk for the content or implementation of any of the material presented. [Legal Notice](/terms/)

uk: вхід без авторизації


Column Chromatography

uk: Математика, природничі науки

uk: вхід без авторизації

de: Video

en: Video


uk: Математика, природничі науки

uk: вхід без авторизації


Distillation II: Vacuum Distillations

uk: Математика, природничі науки

uk: вхід без авторизації


Filtration

uk: Математика, природничі науки

uk: вхід без авторизації


Making Buffers and Using a pH Meter

uk: Математика, природничі науки

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Melting Point Determination

uk: Математика, природничі науки

uk: вхід без авторизації


Reaction Work-Up I

uk: Математика, природничі науки

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Reaction Work-Up II

uk: Математика, природничі науки

uk: вхід без авторизації


Recrystallization

uk: Математика, природничі науки

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Refluxing a Reaction

uk: Математика, природничі науки

uk: вхід без авторизації


Sublimation

uk: Математика, природничі науки

uk: вхід без авторизації


Titration

uk: Математика, природничі науки

uk: вхід без авторизації


TLC-Advanced

uk: Математика, природничі науки

uk: вхід без авторизації


TLC-The Basics

uk: Математика, природничі науки

uk: вхід без авторизації


Using a Balance

uk: Математика, природничі науки

uk: вхід без авторизації


Using an Automatic Pipet

uk: Математика, природничі науки

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Volumetric Techniques

uk: Математика, природничі науки

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Continuum Electromechanics

keywords:
Engineering
Science
Physics
Mechanical Engineering
Electrical Engineering
Quantum Mechanics
Electromagnetism

de: Maschinenbau/Verfahrenstechnik

uk: Машинобудування/Технологія

en: Mechanical Engineering / Process Engineering

de: Physik

en: Physics

uk: Математика, природничі науки

de: Physik, Astronomie

uk: Фізика, Астрономія

en: Physics, Astronomy

description:
First published in 1981 by MIT Press, _Continuum Electromechanics_, courtesy of MIT Press and used with permission, provides a solid foundation in electromagnetics, particularly conversion of energy between electrical and mechanical forms. Topics include:

> electrodynamic laws, electromagnetic forces, electromechanical kinematics, charge migration, convection, relaxation, magnetic diffusion and induction interactions, laws and approximations of fluid mechanics, static equilibrium, electromechanical flows, thermal and molecular diffusion, and streaming interactions. The applications covered include transducers, rotating machines, Van de Graaff machines, image processing, induction machines, levitation of liquid metals, shaping of interfaces in plastics and glass processing, orientation of ferrofluid seals, cryogenic fluids, liquid crystal displays, thunderstorm electrification, fusion machines, magnetic pumping of liquid metals, magnetohydrodynamic power generation, inductive and dielectric heating, electrophoretic particle motion, electrokinetic and electrocapillary interactions in biological systems, and electron beams.

uk: вхід без авторизації


Electromagnetic Fields and Energy

keywords:
Engineering
Science
Physics
Electrical Engineering
Electromagnetism

uk: Математика, природничі науки

uk: Фізика, Астрономія

description:
Published in 1989 by Prentice-Hall, this book is a useful resource for educators and self-learners alike. The text is aimed at those who have seen Maxwell's equations in integral and differential form and who have been exposed to some integral theorems and differential operators. A hypertext version of this textbook can be found [here](http://web.mit.edu/6.013_book/www/book.html). An accompanying set of video demonstrations is available below.

These video demonstrations convey electromagnetism concepts. The demonstrations are related to topics covered in the textbook. They were prepared by Markus Zahn, James R. Melcher, and Manuel L. Silva and were produced by the Department of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology.

The purpose of these demonstrations is to make mathematical analysis of electromagnetism take on physical meaning. Based on relatively simple configurations and arrangements of equipment, they make a direct connection between what has been analytically derived and what is observed. They permit the student to observe physically what has been described symbolically. Often presented with a plot of theoretical predictions that are compared to measured data, these demonstrations give the opportunity to test the range of validity of the theory and present a quantitative approach to dealing with the physical world.

The short form of these videos contains the demonstrations only. The long form also presents theory, diagrams, and calculations in support of the demonstrations.

These videos are used in the courses [6.013/ESD.013J](/courses/6-013-electromagnetics-and-applications-spring-2009/) and [6.641](/courses/6-641-electromagnetic-fields-forces-and-motion-spring-2009/).

uk: вхід без авторизації


keywords:
Engineering
Science
Physics
Mathematics
Electrical Engineering
Differential Equations
Electromagnetism

uk: Математика, природничі науки

uk: Фізика, Астрономія

description: This text is an introductory treatment on the junior level for a two-semester electrical engineering course starting from the Coulomb-Lorentz force law on a point charge. The theory is extended by the continuous superposition of solutions from previously developed simpler problems leading to the general integral and differential field laws. Often the same problem is solved by different methods so that the advantages and limitations of each approach becomes clear. Sample problems and their solutions are presented for each new concept with great emphasis placed on classical models of physical phenomena such as polarization, conduction, and magnetization. A large variety of related problems that reinforce the text material are included at the end of each chapter for exercise and homework.

uk: вхід без авторизації

name: Electromagnetic Field Theory: A Problem Solving Approach


Electromechanical Dynamics

keywords:
Engineering
Science
Physics
Mechanical Engineering
Electrical Engineering
Classical Mechanics
Electromagnetism

uk: Машинобудування/Технологія

uk: Математика, природничі науки

uk: Фізика, Астрономія

description:
First published in 1968 by John Wiley and Sons, Inc., _Electromechanical Dynamics_ discusses the interaction of electromagnetic fields with media in motion. The subject combines classical mechanics and electromagnetic theory and provides opportunities to develop physical intuition. The book uses examples that emphasize the connections between physical reality and analytical models. Types of electromechanical interactions covered include rotating machinery, plasma dynamics, the electromechanics of biological systems, and magnetoelasticity.

An accompanying [solutions manual](/courses/res-6-003-electromechanical-dynamics-spring-2009/pages/solutions-manual) for the problems in the text is provided.

uk: вхід без авторизації


keywords:
Engineering
Computer Science
Systems Engineering
Computer Design and Engineering
Systems Design

uk: Комп'ютерні науки

description:
*Principles of Computer System Design: An Introduction* is published in two parts. Part I, containing chapters 1-6, is a traditional printed textbook published by Morgan Kaufman, an imprint of Elsevier. Part II, containing chapters 7-11, is available here as an open educational resource.

This textbook, an introduction to the principles and abstractions used in the design of computer systems, is an outgrowth of notes written for 6.033 *Computer System Engineering* over a period of 40-plus years. Individual chapters are also used in other EECS subjects. There is also a [web site for the current 6.033 class](http://mit.edu/6.033) with a lecture schedule that includes daily assignments, lecture notes, and lecture slides. The 6.033 class Web site also contains a thirteen-year archive of class assignments, design projects, and quizzes.

uk: вхід без авторизації


Understanding Lasers and Fiberoptics

keywords:
Science
Physics
Atomic, Molecular, Optical Physics
Quantum Mechanics
Electromagnetism

uk: Математика, природничі науки

uk: Фізика, Астрономія

description:
Lasers are essential to an incredibly large number of applications. Today, they are used in bar code readers, compact discs, medicine, communications, sensors, materials processing, computer printers, data processing, 3D-imaging, spectroscopy, navigation, non-destructive testing, chemical processing, color copiers, laser "shows", and in the military. There is hardly a field untouched by the laser. But what exactly is so unique about lasers that makes them so effective?

This brief video course is designed for engineers, scientists, medical personnel, managers, and others who work with lasers and/or fiberoptics, or who anticipate working with lasers and/or fiberoptics, yet have little or no background in laser or fiberoptic basics. The course focuses on fundamentals and emphasizes a physical intuitive interpretation of laser and fiberoptic phenomena and their applications. Because Prof. Ezekiel keeps mathematics to a minimum, the topics covered are easily understood, without the need for a strong technical background. Prof. Ezekiel uses plain language, graphic illustrations, and video demonstrations to explain the basic characteristics of lasers and fiberoptics.

These videos were produced by the MIT Center for Advanced Engineering Study.

uk: вхід без авторизації


uk: Математика, природничі науки

uk: Фізика, Астрономія

description:
This resource contains demonstrations used to illustrate the theory and applications of lasers and optics. A detailed listing of the topics can be found below.

Lasers today are being used in an ever-increasing number of applications. In fact, there is hardly a field that has not been touched by the laser. Lasers are playing key roles in the home, office, hospital, factory, outdoors, and theater, as well as in the laboratory.

To learn about lasers and related optics, one usually takes a course or two, or acquires the necessary information from books and journal articles. To make this learning more vivid and more exciting, and, one hopes, more understandable, one needs to see some of the basic phenomena involved. To fill this need, Professor Ezekiel has videotaped 48 demonstrations that illustrate most of the fundamental phenomena relating to lasers and physical optics.

By using split-screen inserts and a wide range of video-recording capabilities, it is possible to show real-time effects in lasers and optics with the simultaneous manipulation of the components that cause these effects. In this way, one can see effects in close up that would be difficult, if not impossible, to display in front of an audience or in the classroom.

These video demonstrations are designed for:

*   The individual student of lasers and optics who wants to observe the various phenomena covered in theoretical treatments in courses, books, and technical papers.
*   The Instructor in lasers and optics in a company, university, college, or high school who wants to illustrate, in class, many of the fundamental phenomena in optics and lasers.

These videos were produced by the MIT Center for Advanced Engineering Study.

uk: вхід без авторизації

name: Video Demonstrations in Lasers and Optics


Signals and Systems

keywords:
Engineering
Systems Engineering
Electrical Engineering
Signal Processing
Computational Modeling and Simulation
Digital Systems

name: Lecture 5: Properties of Linear, Time-Invariant Systems

name: Lecture 6: Systems Represented by Differential Equations

name: Lecture 7: Continuous-Time Fourier Series

name: Lecture 8: Continuous-Time Fourier Transform

name: Lecture 10: Discrete-Time Fourier Series

name: Lecture 11: Discrete-Time Fourier Transform

name: Lecture 14: Demonstration of Amplitude Modulation

name: Lecture 18: Discrete-Time Processing of Continuous-Time Signals

name: Lecture 21: Continuous-Time Second-Order Systems

name: Lecture 23: Mapping Continuous-Time Filters to Discrete-Time Filters

name: Lecture 26: Feedback Example: The Inverted Pendulum

description:
This course was developed in 1987 by the MIT Center for Advanced Engineering Studies. It was designed as a distance-education course for engineers and scientists in the workplace.

Signals and Systems is an introduction to analog and digital signal processing, a topic that forms an integral part of engineering systems in many diverse areas, including seismic data processing, communications, speech processing, image processing, defense electronics, consumer electronics, and consumer products.

The course presents and integrates the basic concepts for both continuous-time and discrete-time signals and systems. Signal and system representations are developed for both time and frequency domains. These representations are related through the Fourier transform and its generalizations, which are explored in detail. Filtering and filter design, modulation, and sampling for both analog and digital systems, as well as exposition and demonstration of the basic concepts of feedback systems for both analog and digital systems, are discussed and illustrated.

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Lecture 1: Introduction

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Lecture 12: Filtering

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Lecture 13: Continuous-Time Modulation

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Lecture 15: Discrete-Time Modulation

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Lecture 16: Sampling

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Lecture 17: Interpolation

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Lecture 19: Discrete-Time Sampling

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Lecture 2: Signals and Systems: Part I

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Lecture 20: The Laplace Transform

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Lecture 22: The z-Transform

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Lecture 24: Butterworth Filters

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Lecture 25: Feedback

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Lecture 3: Signals and Systems: Part II

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Lecture 4: Convolution

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Lecture 9: Fourier Transform Properties

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Digital Signal Processing

keywords:
Engineering
Electrical Engineering
Signal Processing
Digital Systems

name: Demonstration 1: Sampling, Aliasing, and Frequency Response, Part 1

name: Demonstration 2: Sampling, Aliasing, and Frequency Response, Part 2

name: Lecture 4: The Discrete-Time Fourier Transform

name: Lecture 9: The Discrete Fourier Transform

name: Lecture 11: Representation of Linear Digital Networks

name: Lecture 12: Network Structures for Infinite Impulse Response (IIR) Systems

name: Lecture 13: Network Structures for Finite Impulse Response (FIR) Systems and Parameter Quantization Effects in Digital Filter Structures

name: Lecture 14: Design of IIR Digital Filters, Part 1

name: Lecture 15: Design of IIR Digital Filters, Part 2

name: Lecture 17: Design of FIR Digital Filters

name: Lecture 18: Computation of the Discrete Fourier Transform, Part 1

name: Lecture 19: Computation of the Discrete Fourier Transform, Part 2

name: Lecture 2: Discrete-Time Signals and Systems, Part 1

name: Lecture 20: Computation of the Discrete Fourier Transform, Part 3

name: Lecture 3: Discrete-Time Signals and Systems, Part 2

description:
This course was developed in 1987 by the MIT Center for Advanced Engineering Studies. It was designed as a distance-education course for engineers and scientists in the workplace.

Advances in integrated circuit technology have had a major impact on the technical areas to which digital signal processing techniques and hardware are being applied. A thorough understanding of digital signal processing fundamentals and techniques is essential for anyone whose work is concerned with signal processing applications.

Digital Signal Processing begins with a discussion of the analysis and representation of discrete-time signal systems, including discrete-time convolution, difference equations, the z-transform, and the discrete-time Fourier transform. Emphasis is placed on the similarities and distinctions between discrete-time. The course proceeds to cover digital network and nonrecursive (finite impulse response) digital filters. Digital Signal Processing concludes with digital filter design and a discussion of the fast Fourier transform algorithm for computation of the discrete Fourier transform.

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uk: вхід без авторизації


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Lecture 1: Introduction

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Lecture 10: Circular Convolution

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Lecture 16: Digital Butterworth Filters

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Lecture 5: The z-Transform

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Lecture 6: The Inverse z-Transform

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Lecture 7: z-Transform Properties

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Lecture 8: The Discrete Fourier Series

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keywords:
Engineering
Computer Science
Data Mining
Graphics and Visualization

uk: Комп'ютерні науки

description:
This course is an introduction to data cleaning, analysis and visualization. We will teach the basics of data analysis through concrete examples. You will learn how to take raw data, extract meaningful information, use statistical tools, and make visualizations.

This was offered as a non-credit course during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.

uk: вхід без авторизації

name: How to Process, Analyze and Visualize Data


Electronic Feedback Systems

keywords:
Engineering
Electronics
Electrical Engineering

description: Feedback control is an important technique that is used in many modern electronic and electromechanical systems. The successful inclusion of this technique improves performance, reliability, and cost effectiveness of many designs. In this series of lectures we introduce the analytical concepts that underlie classical feedback system design. The application of these concepts is illustrated by a variety of experiments and demonstration systems. The diversity of the demonstration systems reinforces the value of the analytic methods.

uk: вхід без авторизації


keywords:
Engineering
Science
Mathematics
Applied Mathematics
Computation

uk: Математика, природничі науки

description: In this book, Sanjoy Mahajan shows us that the way to master complexity is through insight rather than precision. Precision can overwhelm us with information, whereas insight connects seemingly disparate pieces of information into a simple picture. Unlike computers, humans depend on insight. Based on the author's fifteen years of teaching at MIT, Cambridge University, and Olin College, _The Art of Insight in Science and Engineering_ shows us how to build insight and find understanding, giving readers tools to help them solve any problem in science and engineering. (Description courtesy of MIT Press.)

uk: вхід без авторизації

name: The Art of Insight in Science and Engineering: Mastering Complexity


Introduction to Probability

keywords:
Engineering
Mathematics
Systems Engineering
Probability and Statistics

uk: Математика, природничі науки

description:
The tools of probability theory, and of the related field of statistical inference, are the keys for being able to analyze and make sense of data. These tools underlie important advances in many fields, from the basic sciences to engineering and management.

This resource is a companion site to [6.041SC Probabilistic Systems Analysis and Applied Probability](/courses/6-041sc-probabilistic-systems-analysis-and-applied-probability-fall-2013/). It covers the same content, using videos developed for an [edX](https://www.edx.org/) version of the course.

uk: вхід без авторизації


AI 101

keywords:
Engineering
Computer Science
Artificial Intelligence

uk: Комп'ютерні науки

description: *Machine vision. Data wrangling. Reinforcement learning.* What do these terms even mean? In AI 101, MIT researcher Brandon Leshchinskiy offers an introduction to artificial intelligence that's designed specifically for those with little to no background in the subject. The workshop starts with a summary of key concepts in AI, followed by an interactive exercise where participants train their own algorithm. Finally, it closes with a summary of key takeaways and Q/A. All are welcome!

uk: вхід без авторизації


AI 101 with Brandon Leshchinskiy

uk: Комп'ютерні науки

uk: вхід без авторизації


keywords: Science Biology

de: Biologie

uk: Біологія

en: Biology

uk: Математика, природничі науки

description:
This self-paced course was originally designed to help prepare incoming MIT students for their first Introductory Biology Course (known at MIT as 7.01). It will also be useful for anyone preparing to take an equivalent college-level introductory biology class elsewhere. It includes lecture videos, interactive exercises, problem sets, and one exam.  Lecture Topics: Molecules of Life, The Cell and How it Works, Information Transfer in Biology, Inheritance and Genetics, and Building with DNA.

Go to [OCW’s Open Learning Library site for _Pre-7.01: Getting up to Speed in Biology_](https://openlearninglibrary.mit.edu/courses/course-v1:OCW+Pre-7.01+1T2020/about). The site is free to use, just like all OCW sites. You have the option to sign up and enroll in the course if you want to track your progress, or you can view and use all the materials without enrolling.

uk: вхід без авторизації


Brave New Planet

keywords:
Engineering
Science
Computer Science
Humanities
Ethics
Artificial Intelligence
Social Science
Public Administration
Earth Science
Energy
Philosophy
Biology
Climate Studies
Genetics
Science and Technology Policy
Climate
Renewables

de: Ethik

uk: Етика

en: Ethics

de: Verwaltungswissenschaften

uk: Управління та адміністрування

en: Administrative Sciences

uk: Комп'ютерні науки

de: Philosophie

uk: Філософія

en: Philosophy

de: Sozialwissenschaften/Soziologie

uk: Суспільні науки та соціологія

en: Social Sciences/Sociology

de: Geowissenschaften (ohne Geographie)

uk: Науки про Землю(крім географії)

en: Geosciences (excl. Geography)

de: Geisteswissenschaften

uk: Гуманітарні науки

en: Humanities

uk: Математика, природничі науки

uk: Право, економіка та суспільні науки

description:
Utopia or dystopia? It’s up to us.

In the 21st century, powerful technologies have been appearing at a breathtaking pace—related to the internet, artificial intelligence, genetic engineering, and more. They have amazing potential upsides, but we can’t ignore the serious risks that come with them.

_Brave New Planet_ is a podcast that delves deep into the most exciting and challenging scientific frontiers, helping us understand them and grapple with their implications. Dr. Eric Lander, president and founding director of the [Broad Institute](https://www.broadinstitute.org/) of MIT and Harvard, is a geneticist, molecular biologist, and mathematician who was a leader of the Human Genome Project and for eight years served as a science advisor to the White House for President Obama. He’s also the host of _Brave New Planet_, and he’s talked to leading researchers, journalists, doctors, policy makers, activists, and legal experts to illuminate how this generation’s choices will shape the future as never before.

_Brave New Planet_ is a partnership between the [Broad Institute](https://www.broadinstitute.org/), [Pushkin Industries](https://www.pushkin.fm/), and the [Boston Globe](https://www.bostonglobe.com/).

uk: вхід без авторизації


BioNook Online Biology Resources

name: Whitehead Institute Communications and Public Affairs Department

keywords:
Science
Biology
Genetics
Molecular Biology
Biochemistry
Cell Biology

de: Biochemie

uk: Біохімія

en: Biochemistry

uk: Математика, природничі науки

description:
BioNook is Whitehead Institute's online biology resource, offering exciting learning enrichment for students, parents and teachers. Find videos, podcasts and stories on Whitehead Institute Science, as well as virtual workshop opportunities through BioNook’s After School Science Club, and ideas for nature-based activities.

Explore free materials on biology and research—from deep explorations of how science is done, to stories following the lives of scientists, to suggestions for fun outside activities and hands-on citizen science projects.

de: keine Anmeldung erforderlich

uk: вхід без авторизації

en: no login required


keywords:
Teaching and Education
Curriculum and Teaching

de: Erziehungswissenschaften

uk: Педагогічні науки

en: Educational Sciences

uk: Право, економіка та суспільні науки

description: The MIT Biology Department supports TAs' teaching by providing a specialized Teaching Assistant (TA) training program in Biology Pedagogy, for which TAs can earn a training certificate. This program has been developed in response to the feedback of previous TAs, and is designed to actively meet each TA's needs as they are teaching. It provides practical knowledge that directly relates to their teaching responsibilities each week, and provides them with the opportunity to practice different skills and techniques in a supportive environment.

uk: вхід без авторизації

name: Biology Teaching Assistant (TA) Training


7.03x Genetics

keywords:
Science
Biology
Genetics
Molecular Biology

de: Mathematik, Naturwissenschaften

uk: Математика, природничі науки

en: Mathematics, Natural Sciences

description:
In this course, you will learn the principles of genetics with application to the study of biological function at the level of molecules, cells, and multicellular organisms, including humans. We will cover structure and function of genes, chromosomes, and genomes; biological variation resulting from recombination, mutation, and selection; population genetics; and the use of genetic methods to modify genes and genomes and analyze protein function, gene regulation, and inherited disease.

This course, based on the MIT course *7.03 Genetics* taken by enrolled MIT students, was organized as a three-part series on [edX](https://www.edx.org/school/mitx) by [MIT’s Department of Biology](https://biology.mit.edu/) (Note: The third part of the course is not available yet). It is [self-paced and free](https://web.mit.edu/mitxbio/courses.html) as long as you enroll in the Audit Track option, which you can select after creating a free account on edX.

uk: вхід без авторизації

de: Kurs

en: Course


7.06x Cell Biology

keywords:
Science
Biology
Molecular Biology
Cell Biology

uk: Математика, природничі науки

description:
In this course, you will engage in the biology of cells of higher organisms. You will study the structure, function, and biosynthesis of cellular membranes and organelles; cell growth and oncogenic transformation; transport, receptors, and cell signaling; the cytoskeleton, the extracellular matrix, and cell movements; cell division and cell cycle; functions of specialized cell types. This course emphasizes the current molecular knowledge of cell biological processes as well as the genetic, biochemical, and other experimental approaches that resulted in these discoveries.

This course, based on the MIT course *7.06 Cell Biology* taken by enrolled MIT students, was organized as a three-part series on [edX](https://www.edx.org/school/mitx) by [MIT’s Department of Biology](https://biology.mit.edu/). It is [self-paced and free](https://web.mit.edu/mitxbio/courses.html) as long as you enroll in the Audit Track option, which you can select after creating a free account on edX.

uk: вхід без авторизації


7.28x Molecular Biology

keywords:
Science
Biology
Genetics
Molecular Biology
Cell Biology

uk: Математика, природничі науки

description:
This course is an in-depth adventure through the molecular mechanisms that control the maintenance, expression, and evolution of prokaryotic and eukaryotic genomes. Through lectures and readings of relevant literature, students will explore gene regulation, DNA replication, genetic recombination, transcription, and mRNA translation. The quizzes are designed to build students' experimental design and data analysis skills.

This course, based on the MIT course *7.28/7.58 Molecular Biology* taken by enrolled MIT students, was organized as a three-part series on [edX](https://www.edx.org/school/mitx) by [MIT’s Department of Biology](https://biology.mit.edu/). It is [self-paced and free](https://web.mit.edu/mitxbio/courses.html) as long as you enroll in the Audit Track option, which you can select after creating a free account on edX.

uk: вхід без авторизації


7.InT: Inclusive Teaching Module

uk: Педагогічні науки

de: Rechts-, Wirtschafts- und Sozialwissenschaften

uk: Право, економіка та суспільні науки

en: Law, Economics and Social Sciences

description:
The Inclusive Teaching Module is both a standalone online resource for those looking to explore materials related to inclusive teaching as well as an integral part of a blended workshop available to use at your own institution. If you are looking to facilitate a blended workshop using this material, please download the Facilitation Guide and Appendix files to get started!

As part of the [Open Learning Library (OLL)](https://openlearninglibrary.mit.edu/), this course is free to use. You have the option to sign up and enroll if you want to track your progress, or you can view and use all the materials without enrolling. Resources on OLL allow learners to learn at their own pace while receiving immediate feedback through interactive content and exercises.

uk: вхід без авторизації


Applied Geometric Algebra

keywords:
Mathematics
Applied Mathematics
Algebra and Number Theory
Topology and Geometry
Linear Algebra

de: Mathematik

en: Mathematics

uk: Математика, природничі науки

description:
László Tisza was [Professor of Physics Emeritus at MIT](http://web.mit.edu/newsoffice/2009/obit-tisza-0416.html), where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Algebra" taught by Professor Tisza in the Spring of 1976.

Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems.

The lecture notes came to MIT OpenCourseWare by way of Samuel Gasster, '77 (Course 18), who had taken the course and kept a copy of the lecture notes for his own reference. He dedicated dozens of hours of his own time to convert the typewritten notes into LaTeX files and then publication-ready PDFs. You can read about his motivation for wanting to see these notes published in his Preface. Professor Tisza kindly gave his permission to make these notes available on MIT OpenCourseWare.

uk: вхід без авторизації


keywords:
Science
Physics
Classical Mechanics

uk: Математика, природничі науки

uk: Фізика, Астрономія

description:
This e-Book is a first step toward a shift in the role of the printed textbook from authoritative serial repository to modular, customizable, linkable, interactive hub. The ideal modern textbook should provide a clear overview of the domain, short summaries of key content, links to more detailed online source material, embedded self-assessment, and a vehicle for instant student feedback. This open-source e-Book for introductory mechanics uses ideas from modeling physics to encourage strategic, concept-based problem solving and employs a wiki format to enable multiple parallel organizations of the material, links to resources and student comments.

[Online Publication](https://wikis.mit.edu/confluence/display/relate)

uk: вхід без авторизації

name: A WikiTextBook for Introductory Mechanics


Physics Demonstration Videos

name: MIT Department of Physics Technical Services Group

keywords: Science Physics

uk: Математика, природничі науки

uk: Фізика, Астрономія

description:
The Technical Services Group at MIT's Department of Physics provides technical and teaching support for undergraduate courses at MIT. These brief videos of physics demos display subtle physics concepts ranging from electromagnetism, to kinematics, to optics.

[Online Publication](https://techtv.mit.edu/collections/f05bfc257ab1447b83470c3d9eeb5083/)

uk: вхід без авторизації


keywords:
Engineering
Humanities
History
Social Science
Public Administration
Political Science
International Relations
History of Science and Technology
Science and Technology Policy
Nuclear Engineering
Nuclear Systems, Policy, and Economics
Security Studies
Military History

name: Lecture 1: South Asia Under the Shadow of Nuclear Weapons

name: Lecture 2: Reducing the Danger of Nuclear Weapons and Proliferation

uk: Управління та адміністрування

de: Ingenieurwissenschaften

en: Engineering Sciences

uk: Суспільні науки та соціологія

de: Geschichte

en: History

uk: Гуманітарні науки

uk: Право, економіка та суспільні науки

description: This course, organized as a series of lectures, aims to provide an interdisciplinary view of the history and current climate of nuclear weapons and non-proliferation policy. The first lecture begins the series by discusses nuclear developments in one of the world's most likely nuclear flash points, and the second lecture presents a broad discussion of the dangers of current nuclear weapons policies as well as evaluations of current situations and an outlook for future nuclear weapons reductions.

uk: вхід без авторизації


uk: Управління та адміністрування

uk: Суспільні науки та соціологія

uk: Гуманітарні науки

uk: Право, економіка та суспільні науки

name: Reducing the Danger of Nuclear Weapons and Proliferation

uk: вхід без авторизації

de: Video

en: Video


uk: Управління та адміністрування

uk: Суспільні науки та соціологія

uk: Гуманітарні науки

uk: Право, економіка та суспільні науки

uk: вхід без авторизації


Vibrations and Waves Problem Solving

keywords:
Science
Physics
Classical Mechanics
Electromagnetism

de: Physik

en: Physics

uk: Математика, природничі науки

de: Physik, Astronomie

uk: Фізика, Астрономія

en: Physics, Astronomy

description:
[_8.03 Physics III: Vibrations and Waves_](/courses/8-03sc-physics-iii-vibrations-and-waves-fall-2016/) is the third course in the core physics curriculum at MIT, following _8.01 Physics I: Classical Mechanics_ and _8.02 Physics II: Electricity and Magnetism_. Topics include mechanical vibrations and waves, electromagnetic waves, and optics. These Problem Solving Help Videos provide step-by-step solutions to sample problems. Also included is information about how Physics III is typically taught on the MIT campus. [Instructor Insights](/courses/res-8-005-vibrations-and-waves-problem-solving-fall-2012/pages/instructor-insights) are shared by Professor Wit Busza who has taught Physics III and its associated recitation sessions many times. Professor Busza's insights focus on his approach to problem solving, strategies for supporting students as they solve problems, and common sources of confusion for students in the process of problem solving.

**Note**: These videos were originally produced as part of a physics course that is no longer available on OCW.

uk: вхід без авторизації


Cosmic Origin of the Chemical Elements

keywords:
Science
Physics
Chemistry
Organic Chemistry
Astrophysics

name: Episode 4: The First Chemical Enrichment Events

name: Episode 6: Element Production (Fusion) - Part 1

name: Episode 7: Element Production (Fusion) - Part 2

name: Episode 9: Formation of the Heaviest Elements

de: Astrophysik und Astronomie

uk: Астрофізика, Астрономія

en: Astrophysics, Astronomy

de: Chemie

en: Chemistry

uk: Математика, природничі науки

uk: Фізика, Астрономія

description: Everything around us is made from different chemical elements: carbon, silicon, iron, and all the other elements from the Periodic Table. The lighter elements were mostly produced in the Big Bang, but the rest were (and are) formed within stars and in the explosions of supernovae. In this series of short lecture videos, created to accompany her book _Searching for the Oldest Stars: Ancient Relics from the Early Universe_ (Princeton University Press, 2019), Professor Anna Frebel reveals the secrets of stardust and explains the cosmic origin of the elements.

uk: вхід без авторизації


Episode 1: Introduction and Overview

uk: Астрофізика, Астрономія

uk: Математика, природничі науки

uk: Фізика, Астрономія

uk: вхід без авторизації


Episode 10: Telescopes and Observing

uk: Астрофізика, Астрономія

uk: Математика, природничі науки

uk: Фізика, Астрономія

uk: вхід без авторизації


Episode 11: Summary

uk: Астрофізика, Астрономія

uk: Математика, природничі науки

uk: Фізика, Астрономія

uk: вхід без авторизації


Episode 2. What the Universe Is Made Of

uk: Астрофізика, Астрономія

uk: Математика, природничі науки

uk: Фізика, Астрономія

uk: вхід без авторизації


Episode 3: Early Chemical Evolution

uk: Астрофізика, Астрономія

uk: Математика, природничі науки

uk: Фізика, Астрономія

uk: вхід без авторизації