Mathematics
715 resources
MIT OCW
free
Mathematics for Computer Science
Prof. Erik Demaine
This course covers elementary discrete mathematics for science and engineering, with a focus on mathematical tools...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
intermediate
MIT OCW
free
Topics in Mathematics with Applications in Finance
Dr. Peter Kempthorne
This is an updated version of 18.S096 Topics in Mathematics with Applications in Finance from Fall 2013. Please...
Business & Management
Finance & Accounting
Science & Math
intermediate
MIT OCW
free
Machine Learning
Rohit Singh
6.867 is an introductory course on machine learning which gives an overview of many concepts, techniques, and...
Data Science, Analytics & Computer Technology
AI
Algorithms and Data Structures
advanced
MIT OCW
free
Real Analysis
Prof. Tobias Colding
This course gives an introduction to analysis, and the goal is twofold:
...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Algorithms
Prof. Erik Demaine
This course is an introduction to mathematical modeling of computational problems, as well as common algorithms,...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
intermediate
MIT OCW
free
Matrix Calculus for Machine Learning and Beyond
Prof. Alan Edelman
We all know that calculus courses such as 18.01 Single Variable Calculus and 18.02 Multivariable Calculus cover...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Probability and Statistics
Dr. Jeremy Orloff
This course provides an elementary introduction to probability and statistics with applications. Topics include...
Science & Math
Mathematics
intermediate
MIT OCW
free
Mathematics of Machine Learning
Prof. Philippe Rigollet
Broadly speaking, Machine Learning refers to the automated identification of patterns in data. As such it has been a...
Data Science, Analytics & Computer Technology
AI
Algorithms and Data Structures
advanced
MIT OCW
free
Linear Algebra
Prof. Gilbert Strang
This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Data Analysis for Social Scientists
Prof. Esther Duflo
This course introduces methods for harnessing data to answer questions of cultural, social, economic, and...
Social Sciences
Economics
Science & Math
advanced
MIT OCW
free
Differential Equations
Dr. Jeremy Orloff
This course, taught to students in MIT’s Experimental Study Group, is equivalent to the Mathematics Department’s...
Science & Math
Mathematics
intermediate
MIT OCW
free
Statistical Thinking and Data Analysis
Prof. Cynthia Rudin
This course is an introduction to statistical data analysis. Topics are chosen from applied probability, sampling,...
Data Science, Analytics & Computer Technology
Computer Science
Data Science
intermediate
MIT OCW
free
Analytics of Finance
Prof. Leonid Kogan
This course covers the key quantitative methods of finance: financial econometrics and statistical inference for...
Business & Management
Finance & Accounting
Social Sciences
advanced
MIT OCW
free
Nonlinear Optimization
Prof. Gabriele Farina
This course offers a unified analytical and computational approach to nonlinear optimization problems. Unconstrained...
Business & Management
Systems Thinking
Data Science, Analytics & Computer Technology
advanced
MIT OCW
free
Data, Models, and Decisions
Prof. Robert Freund
This course is designed to introduce first-year Sloan MBA students to the fundamental techniques of using data. In...
Business & Management
Supply Chain
Operations
advanced
MIT OCW
free
Computational Music Theory and Analysis
Prof. Michael Scott Asato Cuthbert
This course presents major approaches to computational music theory and musicology in the symbolic (score-based)...
Art, Design & Architecture
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Computational Thinking
Prof. Alan Edelman
This is an introductory course on computational thinking. We use the Julia programming language to approach...
Data Science, Analytics & Computer Technology
Software Design and Engineering
Algorithms and Data Structures
intermediate
MIT OCW
free
Calculus I: Single Variable Calculus
Prof. David Jerison
Master the calculus of derivatives, integrals, coordinate systems, and infinite series.
In this three-part series...
Science & Math
Mathematics
intermediate
MIT OCW
free
Multivariable Calculus
Prof. Denis Auroux
This course covers differential, integral and vector calculus for functions of more than one variable. These...
Science & Math
Mathematics
intermediate
MIT OCW
free
Principles of Discrete Applied Mathematics
Prof. Ankur Moitra
This course will teach you illustrative topics in discrete applied mathematics, including counting, generating...
Social Sciences
Communication
Science & Math
intermediate
MIT OCW
free
Differential Geometry
Prof. Paul Seidel
This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still...
Science & Math
Mathematics
intermediate
MIT OCW
free
Single Variable Calculus
Prof. David Jerison
This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Topology
Prof. James Munkres
This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with...
Science & Math
Mathematics
intermediate
MIT OCW
free
Projection Theory
Prof. Lawrence D Guth
The class studies projection theory, starting from the first questions and building up to recent developments....
Science & Math
Mathematics
advanced
MIT OCW
free
Quantum Computation
Prof. Peter Shor
This course provides an introduction to the theory and practice of quantum computation. Topics covered include:...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Networks and Security
advanced
MIT OCW
free
Optimization Methods
Prof. Dimitris Bertsimas
This course introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic optimization and...
Business & Management
Systems Thinking
Science & Math
advanced
MIT OCW
free
Information Theory
Prof. Yury Polyanskiy
This is a graduate-level introduction to mathematics of information theory. We will cover both classical and modern...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
advanced
MIT OCW
free
Design and Analysis of Algorithms
Prof. Erik Demaine
This is an intermediate algorithms course with an emphasis on teaching techniques for the design and analysis of...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Networks and Security
intermediate
MIT OCW
free
Algorithms for Inference
Prof. Devavrat Shah
This is a graduate-level introduction to the principles of statistical inference with probabilistic models defined...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Visualization
advanced
MIT OCW
free
Time Series Analysis
Prof. Anna Mikusheva
The course provides a survey of the theory and application of time series methods in econometrics. Topics covered...
Social Sciences
Economics
Science & Math
advanced
MIT OCW
free
Advanced Stochastic Processes
Prof. David Gamarnik
This class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability,...
Science & Math
Mathematics
advanced
MIT OCW
free
Numerical Computation for Mechanical Engineers
Prof. Anthony T. Patera
This class introduces elementary programming concepts including variable types, data structures, and flow control....
Data Science, Analytics & Computer Technology
Programming & Coding
Computer Science
intermediate
MIT OCW
free
Matrix Methods in Data Analysis, Signal Processing, and Machine Learning
Prof. Gilbert Strang
Linear algebra concepts are key for understanding and creating machine learning algorithms, especially as applied to...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Modern Algebra
Prof. James McKernan
This undergraduate course focuses on traditional algebra topics that have found greatest application in science and...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Computational Thinking and Data Science
Prof. Eric Grimson
6.0002 is the continuation of 6.0001 Introduction to Computer Science and Programming in Python and is intended for...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
intermediate
MIT OCW
free
Introduction to Functional Analysis
Dr. Casey Rodriguez
Functional analysis helps us study and solve both linear and nonlinear problems posed on a normed space that is no...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Convex Optimization
Prof. Stephen Boyd
This course aims to give students the tools and training to recognize convex optimization problems that arise in...
Business & Management
Systems Thinking
Science & Math
intermediate
MIT OCW
free
Pattern Recognition and Analysis
Media Lab Faculty and Staff
This class deals with the fundamentals of characterizing and recognizing patterns and features of interest in...
Science & Math
Cognitive Science
Mathematics
advanced
MIT OCW
free
Dynamic Systems and Control
Prof. Emilio Frazzoli
The course addresses dynamic systems, i.e., systems that evolve with time. Typically these systems have inputs and...
Business & Management
Systems Thinking
Data Science, Analytics & Computer Technology
advanced
MIT OCW
free
Probability and Statistics in Engineering
Prof. Daniele Veneziano
This class covers quantitative analysis of uncertainty and risk for engineering applications. Fundamentals of...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Mathematical Statistics
Dr. Peter Kempthorne
This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It...
Social Sciences
Economics
Science & Math
advanced
MIT OCW
free
Fundamentals of Probability
Prof. Yury Polyanskiy
This is a course on the fundamentals of probability geared towards first or second-year graduate students who are...
Science & Math
Mathematics
advanced
MIT OCW
free
Graph Theory and Additive Combinatorics
Prof. Yufei Zhao
This course examines classical and modern developments in graph theory and additive combinatorics, with a focus on...
Science & Math
Mathematics
advanced
MIT OCW
free
Mathematical Problem Solving (Putnam Seminar)
Prof. Yufei Zhao
This course is a seminar intended for undergraduate students who enjoy solving challenging mathematical problems,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Engineering Math: Differential Equations and Linear Algebra
Prof. Daniel Frey
This course is about the mathematics that is most widely used in the mechanical engineering core subjects: An...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Theory of Computation
Prof. Michael Sipser
This course emphasizes computability and computational complexity theory. Topics include regular and context-free...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
intermediate
MIT OCW
free
Introduction to Partial Differential Equations
Prof. Jared Speck
This course introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. It...
Science & Math
Mathematics
intermediate
MIT OCW
free
STEM Concept Videos
Teaching and Learning Laboratory (TLL)
The STEM Concept Videos are designed to help students learn a pivotal concept in science, technology, engineering,...
Social Sciences
Communication
Science & Math
intermediate
MIT OCW
free
Systems Optimization
Prof. John Vande Vate
Managers and engineers are constantly attempting to optimize, particularly in the design and operation of complex...
Business & Management
Supply Chain
Operations
advanced
MIT OCW
free
Poker Theory and Analytics
Kevin Desmond
This course takes a broad-based look at poker theory and applications of poker analytics to investment management...
Business & Management
Management
Science & Math
advanced
MIT OCW
free
Elliptic Curves
Andrew V. Sutherland
This course offers a computationally focused introduction to elliptic curves, emphasizing their deep connections to...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
intermediate
MIT OCW
free
Computing and Data Analysis for Environmental Applications
Prof. Dennis McLaughlin
This subject is a computer-oriented introduction to probability and data analysis. It is designed to give students...
Data Science, Analytics & Computer Technology
Computer Science
Data Science
intermediate
MIT OCW
free
Computational Science and Engineering I
Dr. Chengzhao (Richard) Zhang
This course provides the fundamental computational toolbox for solving science and engineering problems. Topics...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Prediction: Machine Learning and Statistics
Prof. Cynthia Rudin
Prediction is at the heart of almost every scientific discipline, and the study of generalization (that is,...
Data Science, Analytics & Computer Technology
AI
Algorithms and Data Structures
advanced
MIT OCW
free
Theory of Numbers
Prof. Abhinav Kumar
This course is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include...
Science & Math
Mathematics
intermediate
MIT OCW
free
Probabilistic Systems Analysis and Applied Probability
Prof. John Tsitsiklis
This course introduces students to the modeling, quantification, and analysis of uncertainty. The tools of...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Computation Structures
Prof. Steve Ward
6.004 offers an introduction to the engineering of digital systems. Starting with MOS transistors, the course...
Data Science, Analytics & Computer Technology
Software Design and Engineering
Computer Science
intermediate
MIT OCW
free
Algebra I
Prof. Michael Artin
This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Statistical Method in Economics
Herman Bennett
This course is a self-contained introduction to statistics with economic applications. Elements of probability...
Social Sciences
Economics
Science & Math
intermediate
MIT OCW
free
Introduction to Stochastic Processes
Dr. Hao Wu
This course is an introduction to Markov chains, random walks, martingales, and Galton-Watsom tree. The course...
Science & Math
Mathematics
advanced
MIT OCW
free
Numerical Methods Applied to Chemical Engineering
Prof. William Green
Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction...
Data Science, Analytics & Computer Technology
Computer Science
Data Science
advanced
MIT OCW
free
Statistical Mechanics I: Statistical Mechanics of Particles
Prof. Mehran Kardar
Statistical Mechanics is a probabilistic approach to equilibrium properties of large numbers of degrees of freedom....
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Ancient Greek Philosophy and Mathematics
Dr. Lee Perlman
This course explores the relationship between ancient Greek philosophy and mathematics. We investigate how ideas of...
Science & Math
Mathematics
Humanities
intermediate
MIT OCW
free
Calculus with Applications
Daniel Kleitman
This is an undergraduate course on differential calculus in one and several dimensions. It is intended as a one and...
Science & Math
Mathematics
intermediate
MIT OCW
free
Numerical Fluid Mechanics
Prof. Pierre Lermusiaux
This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations....
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Control of Manufacturing Processes (SMA 6303)
Prof. David Hardt
This course explores statistical modeling and control in manufacturing processes. Topics include the use of...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Structure and Interpretation of Computer Programs
Prof. Eric Grimson
This course introduces students to the principles of computation. Upon completion of 6.001, students should be able...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
intermediate
MIT OCW
free
Introduction to Analysis
Prof. Arthur Mattuck
Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Computational Molecular Biology
Ross Lippert
This course introduces the basic computational methods used to understand the cell on a molecular level. It covers...
Science & Math
Biology
Mathematics
advanced
MIT OCW
free
Quantum Information Science I
Prof. Isaac Chuang
This course is a three-course series that provides an introduction to the theory and practice of quantum...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Networks and Security
advanced
MIT OCW
free
Optimization Methods in Management Science
Prof. James Orlin
This course introduces students to the theory, algorithms, and applications of optimization. The optimization...
Business & Management
Operations
Systems Thinking
intermediate
MIT OCW
free
Probability and Random Variables
Prof. Scott Sheffield
This course introduces students to probability and random variables. Topics include distribution functions,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Calculus with Theory
Christine Breiner
18.014, Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more...
Science & Math
Mathematics
intermediate
MIT OCW
free
Great Ideas in Theoretical Computer Science
Prof. Scott Aaronson
This course provides a challenging introduction to some of the central ideas of theoretical computer science. It...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
intermediate
MIT OCW
free
Integer Programming and Combinatorial Optimization
Prof. Dimitris Bertsimas
The course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is...
Business & Management
Systems Thinking
Science & Math
advanced
MIT OCW
free
Parallel Computing
Prof. Alan Edelman
This is an advanced interdisciplinary introduction to applied parallel computing on modern supercomputers. It has a...
Data Science, Analytics & Computer Technology
Software Design and Engineering
Algorithms and Data Structures
advanced
MIT OCW
free
Mathematics for Materials Scientists and Engineers
Prof. W. Craig Carter
This course covers the mathematical techniques necessary for understanding of materials science and engineering...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Design of Electromechanical Robotic Systems
Prof. Franz Hover
This course covers the design, construction, and testing of field robotic systems, through team projects with each...
Business & Management
Systems Thinking
Science & Math
intermediate
MIT OCW
free
Introduction to Statistical Methods in Economics
Konrad Menzel
This course will provide a solid foundation in probability and statistics for economists and other social...
Social Sciences
Economics
Science & Math
intermediate
MIT OCW
free
Quantum Information Science
Prof. Isaac Chuang
This is an advanced graduate course on quantum computation and quantum information, for which prior knowledge of...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
advanced
MIT OCW
free
Topics in Mathematics of Data Science
Dr. Afonso Bandeira
This is a mostly self-contained research-oriented course designed for undergraduate students (but also extremely...
Data Science, Analytics & Computer Technology
Computer Science
Data Science
intermediate
MIT OCW
free
Introduction to Probability
Prof. John Tsitsiklis
The tools of probability theory, and of the related field of statistical inference, are the keys for being able to...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Nonlinear Dynamics: Chaos
Prof. Daniel Rothman
This course provides an introduction to nonlinear dynamics and chaos in dissipative systems. The content is...
Science & Math
Earth Science
Physics
intermediate
MIT OCW
free
Introduction to MATLAB
Yossi Farjoun
This course was offered as a non-credit program during the Independent Activities Period (IAP), January 2008. A more...
Data Science, Analytics & Computer Technology
Programming & Coding
Computer Science
intermediate
MIT OCW
free
Combinatorial Analysis
Prof. Richard Stanley
This course analyzes combinatorial problems and methods for their solution. Topics include: enumeration, generating...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Electronics, Signals, and Measurement
Prof. David Cory
The course is designed to provide a practical - hands on - introduction to electronics with a focus on measurement...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Statistics for Applications
Prof. Philippe Rigollet
This course offers an in-depth the theoretical foundations for statistical methods that are useful in many...
Science & Math
Mathematics
intermediate
MIT OCW
free
Dynamic Programming and Stochastic Control
Prof. Dimitri Bertsekas
The course covers the basic models and solution techniques for problems of sequential decision making under...
Business & Management
Systems Thinking
Data Science, Analytics & Computer Technology
advanced
MIT OCW
free
The Mathematics in Toys and Games
Jing Li
We will explore the mathematical strategies behind popular games, toys, and puzzles. Topics covered will combine...
Art, Design & Architecture
Game Design
Data Science, Analytics & Computer Technology
intermediate
MIT OCW
free
Network Optimization
Prof. James Orlin
15.082J/6.855J/ESD.78J is a graduate subject in the theory and practice of network flows and its extensions. Network...
Business & Management
Systems Thinking
Digital Business & IT
advanced
MIT OCW
free
Introduction to Computational Thinking with Julia, with Applications to Modeling the COVID-19 Pandemic
Prof. Alan Edelman
This half-semester course introduces computational thinking through applications of data science, artificial...
Data Science, Analytics & Computer Technology
Software Design and Engineering
Algorithms and Data Structures
intermediate
MIT OCW
free
Introduction to Numerical Methods
Prof. Steven G. Johnson
This course offers an advanced introduction to numerical analysis, with a focus on accuracy and efficiency of...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
advanced
MIT OCW
free
Statistical Physics I
Prof. Thomas Greytak
This course offers an introduction to probability, statistical mechanics, and thermodynamics. Numerous examples are...
Science & Math
Physics
Mathematics
intermediate
MIT OCW
free
Introduction to Mathematical Programming
Prof. Dimitris Bertsimas
This course is an introduction to linear optimization and its extensions emphasizing the underlying mathematical...
Data Science, Analytics & Computer Technology
Software Design and Engineering
Algorithms and Data Structures
advanced
MIT OCW
free
Computational Geometry
Prof. Nicholas Patrikalakis
Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Visualization
advanced
MIT OCW
free
Optimization Methods in Business Analytics
Prof. James Orlin
This course will examine optimization through a business analytics lens. Students will learn the theoretical aspects...
Business & Management
Management
Science & Math
intermediate
MIT OCW
free
Convex Analysis and Optimization
Prof. Dimitri Bertsekas
This course will focus on fundamental subjects in convexity, duality, and convex optimization algorithms. The aim is...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
advanced
MIT OCW
free
Statistics for Brain and Cognitive Science
Emery N Brown
Provides students with the basic tools for analyzing experimental data, properly interpreting statistical reports in...
Science & Math
Cognitive Science
Mathematics
intermediate
MIT OCW
free
Linear Partial Differential Equations: Analysis and Numerics
Prof. Steven G. Johnson
This course provides students with the basic analytical and computational tools of linear partial differential...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Numerical Analysis for Engineering (13.002J)
Prof. Henrik Schmidt
This course is offered to undergraduates and introduces students to the formulation, methodology, and techniques for...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
intermediate
MIT OCW
free
Introduction to Numerical Analysis
Prof. Alar Toomre
This course analyzed the basic techniques for the efficient numerical solution of problems in science and...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
intermediate
MIT OCW
free
Algebraic Combinatorics
Prof. Alexander Postnikov
This course covers the applications of algebra to combinatorics. Topics include enumeration methods, permutations,...
Science & Math
Mathematics
intermediate
MIT OCW
free
High-Dimensional Statistics
Prof. Philippe Rigollet
This course offers an introduction to the finite sample analysis of high- dimensional statistical methods. The goal...
Science & Math
Mathematics
advanced
MIT OCW
free
Introduction to Manufacturing Systems
Dr. Stanley Gershwin
This course provides ways to analyze manufacturing systems in terms of material flow and storage, information flow,...
Business & Management
Operations
Science & Math
advanced
MIT OCW
free
Logistical and Transportation Planning Methods
Richard C. Larson
The class will cover quantitative techniques of Operations Research with emphasis on applications in transportation...
Business & Management
Systems Thinking
Social Sciences
advanced
MIT OCW
free
Multivariable Calculus with Theory
Christine Breiner
This course is a continuation of 18.014 Calculus with Theory. It covers the same material as 18.02 Multivariable...
Science & Math
Mathematics
intermediate
MIT OCW
free
Number Theory I
Andrew V. Sutherland
This is the first semester of a one-year graduate course in number theory covering standard topics in algebraic and...
Science & Math
Mathematics
advanced
MIT OCW
free
Finite Element Analysis of Solids and Fluids I
Klaus-Jürgen Bathe
This course introduces finite element methods for the analysis of solid, structural, fluid, field, and heat transfer...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Algebraic Topology I
Prof. Haynes Miller
This is a course on the singular homology of topological spaces. Topics include: Singular homology, CW complexes,...
Science & Math
Mathematics
advanced
MIT OCW
free
Statistics and Visualization for Data Analysis and Inference
Prof. Ed Vul
A whirl-wind tour of the statistics used in behavioral science research, covering topics including: data...
Data Science, Analytics & Computer Technology
Visualization
Computer Science
advanced
MIT OCW
free
Algorithmic Aspects of Machine Learning
Prof. Ankur Moitra
This course is organized around algorithmic issues that arise in machine learning. Modern machine learning systems...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
advanced
MIT OCW
free
Applied Econometrics: Mostly Harmless Big Data
Prof. Joshua Angrist
This course covers empirical strategies for applied micro research questions. Our agenda includes regression and...
Data Science, Analytics & Computer Technology
Computer Science
Data Science
advanced
MIT OCW
free
Theory of Probability
Prof. Scott Sheffield
This course covers topics such as sums of independent random variables, central limit phenomena, infinitely...
Science & Math
Mathematics
advanced
MIT OCW
free
The Analytics Edge
Prof. Dimitris Bertsimas
This course presents real-world examples in which quantitative methods provide a significant competitive edge that...
Business & Management
Operations
Management
advanced
MIT OCW
free
Commutative Algebra
Prof. Steven Kleiman
In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton...
Science & Math
Mathematics
advanced
MIT OCW
free
Non-Equilibrium Statistical Mechanics
Jianshu Cao
This course discusses the principles and methods of non-equilibrium statistical mechanics. Basic topics covered are...
Science & Math
Chemistry
Physics
advanced
MIT OCW
free
Automata, Computability, and Complexity
Prof. Scott Aaronson
This course provides a challenging introduction to some of the central ideas of theoretical computer science....
Data Science, Analytics & Computer Technology
Networks and Security
Computer Science
intermediate
MIT OCW
free
Analysis I
Prof. Katrin Wehrheim
Analysis I covers fundamentals of mathematical analysis: metric spaces, convergence of sequences and series,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Principles of Applied Mathematics
Prof. Rodolfo Rosales
18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Finite Element Analysis of Solids and Fluids II
Klaus-Jürgen Bathe
This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Probabilistic Methods in Combinatorics
Prof. Yufei Zhao
This course is a graduate-level introduction to the probabilistic methods, a fundamental and powerful technique in...
Science & Math
Mathematics
advanced
MIT OCW
free
Applied Category Theory
Dr. David I. Spivak
Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The...
Science & Math
Mathematics
intermediate
MIT OCW
free
Brain and Cognitive Sciences Computational Tutorial Series
This is a seminar series led by graduate students and postdocs in the MIT Department of Brain and Cognitive Sciences...
Science & Math
Biology
Cognitive Science
beginner
MIT OCW
free
Calculus Open Textbook
Prof. Gilbert Strang
First published in 1991 by Wellesley-Cambridge Press, this updated 3rd edition of the book is a useful resource for...
Science & Math
Mathematics
intermediate
MIT OCW
free
Discrete Stochastic Processes
Prof. Robert Gallager
Discrete stochastic processes are essentially probabilistic systems that evolve in time via random changes occurring...
Science & Math
Mathematics
advanced
MIT OCW
free
Linear Algebra - Communications Intensive
Andrew Brooke-Taylor
This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of...
Science & Math
Mathematics
Humanities
intermediate
MIT OCW
free
Complex Variables with Applications
Dr. Jeremy Orloff
Complex analysis is a basic tool with a great many practical applications to the solution of physical problems. It...
Science & Math
Mathematics
intermediate
MIT OCW
free
Essential Numerical Methods
Prof. Ian H. Hutchinson
This half-semester course introduces computational methods for solving physical problems, especially in nuclear...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Multivariable Calculus Recitation Notes
Dr. Evan Chen
These lecture notes and exercises (with solutions) cover MIT’s multivariable calculus sequence as taught in Fall...
Science & Math
Mathematics
intermediate
MIT OCW
free
Topics in Statistics: Statistical Learning Theory
Prof. Dmitry Panchenko
The main goal of this course is to study the generalization ability of a number of popular machine learning...
Data Science, Analytics & Computer Technology
AI
Algorithms and Data Structures
advanced
MIT OCW
free
Networks, Complexity and Its Applications
Prof. Cesar Hidalgo
Networks are a ubiquitous way to represent complex systems, including those in the social and economic sciences. The...
Art, Design & Architecture
Media Studies
Business & Management
advanced
MIT OCW
free
Signal Processing: Continuous and Discrete
Prof. Derek Rowell
This course provides a solid theoretical foundation for the analysis and processing of experimental data, and...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Geometry and Quantum Field Theory
Prof. Pavel Etingof
The main goal of this course is to present the basic ideas of quantum field theory (QFT) in a completely rigorous...
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Measure and Integration
Prof. Jeff Viaclovsky
This graduate-level course covers Lebesgue’s integration theory with applications to analysis, including an...
Science & Math
Mathematics
advanced
MIT OCW
free
Street-Fighting Mathematics
Sanjoy Mahajan
This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation....
Science & Math
Mathematics
intermediate
MIT OCW
free
Analysis II
Prof. Victor Guillemin
This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis. The first half...
Science & Math
Mathematics
intermediate
MIT OCW
free
Calculus of Several Variables
Prof. James McKernan
This is a variation on 18.02 Multivariable Calculus. It covers the same topics as in 18.02, but with more focus on...
Science & Math
Mathematics
intermediate
MIT OCW
free
Lie Groups and Lie Algebras I
Prof. Pavel Etingof
This course is the first half of the year-long introductory graduate sequence 18.745/18.755 on Lie groups and Lie...
Science & Math
Mathematics
advanced
MIT OCW
free
Quantifying Uncertainty
Dr. Sai Ravela
The ability to quantify the uncertainty in our models of nature is fundamental to many inference problems in Science...
Business & Management
Systems Thinking
Data Science, Analytics & Computer Technology
intermediate
MIT OCW
free
Geometric Folding Algorithms: Linkages, Origami, Polyhedra
Prof. Erik Demaine
This course focuses on the algorithms for analyzing and designing geometric foldings. Topics include reconfiguration...
Art, Design & Architecture
Visual Arts
Data Science, Analytics & Computer Technology
advanced
MIT OCW
free
Combinatorial Optimization
Prof. Santosh Vempala
Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization....
Business & Management
Systems Thinking
Data Science, Analytics & Computer Technology
intermediate
MIT OCW
free
Algebraic Geometry
Prof. Roman Bezrukavnikov
This is the first semester of a two-semester sequence on Algebraic Geometry. The goal of the course is to introduce...
Science & Math
Mathematics
advanced
MIT OCW
free
Randomized Algorithms
Prof. David R. Karger
This course examines how randomization can be used to make algorithms simpler and more efficient via random...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
advanced
MIT OCW
free
Information and Entropy
Prof. Paul Penfield
This course explores the ultimate limits to communication and computation, with an emphasis on the physical nature...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
intermediate
MIT OCW
free
Introduction to Statistical Physics
Dr. Mobolaji Williams
Introduction to Statistical Physics introduces the concepts and formalism at the foundations of statistical physics....
Science & Math
Physics
Mathematics
beginner
MIT OCW
free
Mathematical Methods for Engineers II
Prof. Gilbert Strang
This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Logic II
Prof. Vann McGee
This course begins with an introduction to the theory of computability, then proceeds to a detailed study of its...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
intermediate
MIT OCW
free
Fourier Analysis
Prof. David Jerison
This course continues the content covered in 18.100 Analysis I. Roughly half of the subject is devoted to the theory...
Science & Math
Mathematics
intermediate
MIT OCW
free
Dynamics and Control I
Prof. Nicholas Hadjiconstantinou
Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics....
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Highlights of Calculus
Prof. Gilbert Strang
Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is...
Science & Math
Mathematics
intermediate
MIT OCW
free
Quantum Information Science II
Prof. Isaac Chuang
This three-module sequence of courses covers advanced topics in quantum computation and quantum information,...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Networks and Security
advanced
MIT OCW
free
Robust System Design
Prof. Daniel Frey
This course was created for the “product development” track of MIT’s System Design and Management Program (SDM) in...
Business & Management
Systems Thinking
Science & Math
advanced
MIT OCW
free
System Optimization and Analysis for Manufacturing
Prof. Stephen Graves
One objective of 15.066J is to introduce modeling, optimization and simulation, as it applies to the study and...
Business & Management
Operations
Systems Thinking
advanced
MIT OCW
free
Advanced Calculus for Engineers
Dr. Dionisios Margetis
This course analyzes the functions of a complex variable and the calculus of residues. It also covers subjects such...
Science & Math
Mathematics
advanced
MIT OCW
free
Numerical Methods for Partial Differential Equations
Dr. Benjamin Seibold
This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
advanced
MIT OCW
free
Advanced Complexity Theory
Prof. Dana Moshkovitz
This graduate-level course focuses on current research topics in computational complexity theory. Topics include:...
Data Science, Analytics & Computer Technology
Computer Science
Science & Math
advanced
MIT OCW
free
Geometry and Topology in the Plane
Prof. Paul Seidel
This course introduces students to selected aspects of geometry and topology, using concepts that can be visualized...
Science & Math
Mathematics
intermediate
MIT OCW
free
A Vision of Linear Algebra
Prof. Gilbert Strang
This collection of videos presents Professor Strang’s updated vision of how linear algebra could be taught.
It...
Science & Math
Mathematics
intermediate
MIT OCW
free
Nonlinear Econometric Analysis
Prof. Victor Chernozhukov
This course presents micro-econometric models, including large sample theory for estimation and hypothesis testing,...
Social Sciences
Economics
Science & Math
advanced
MIT OCW
free
Algebra I Student Notes
Algebra I is the first semester of a year-long introduction to modern algebra. Algebra is a fundamental subject,...
Science & Math
Mathematics
beginner
MIT OCW
free
Statistical Learning Theory and Applications
Dr. Ryan Rifkin
Focuses on the problem of supervised learning from the perspective of modern statistical learning theory starting...
Data Science, Analytics & Computer Technology
AI
Algorithms and Data Structures
advanced
MIT OCW
free
Dynamic Optimization Methods with Applications
Prof. Guido Lorenzoni
This course focuses on dynamic optimization methods, both in discrete and in continuous time. We approach these...
Business & Management
Systems Thinking
Social Sciences
advanced
MIT OCW
free
Quantum Complexity Theory
Prof. Scott Aaronson
This course is an introduction to quantum computational complexity theory, the study of the fundamental capabilities...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
advanced
MIT OCW
free
System Identification
Prof. Munther Dahleh
This course is offered to graduates and includes topics such as mathematical models of systems from observations of...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Algebra II
Prof. Michael Artin
This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Modeling Dynamics and Control I
Prof. David Trumper
This course is the first of a two term sequence in modeling, analysis and control of dynamic systems. The various...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Electromagnetic Wave Theory
Prof. Jin Au Kong
6.632 is a graduate subject on electromagnetic wave theory, emphasizing mathematical approaches, problem solving,...
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Topics in Fourier Analysis
Prof. Daniel Stroock
The goal of these lectures is to provide an introduction to Fourier analysis. The first topic is Fourier series, in...
Science & Math
Mathematics
beginner
MIT OCW
free
Advanced Partial Differential Equations with Applications
Prof. Rodolfo Rosales
The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that...
Science & Math
Mathematics
advanced
MIT OCW
free
Complex Digital Systems
Chris Terman
This course is offered to graduates and is a project-oriented course to teach new methodologies for designing...
Data Science, Analytics & Computer Technology
Software Design and Engineering
Computer Science
advanced
MIT OCW
free
Linear Partial Differential Equations
Dr. Matthew Hancock
This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Discrete-Time Signal Processing
Prof. Alan V. Oppenheim
This class addresses the representation, analysis, and design of discrete time signals and systems. The major...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Differential Analysis
Prof. Richard Melrose
This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions...
Science & Math
Mathematics
advanced
MIT OCW
free
Networks for Learning: Regression and Classification
Prof. Tomaso Poggio
The course focuses on the problem of supervised learning within the framework of Statistical Learning Theory. It...
Science & Math
Cognitive Science
Mathematics
advanced
MIT OCW
free
Electromagnetic Field Theory: A Problem Solving Approach
Markus Zahn
This text is an introductory treatment on the junior level for a two-semester electrical engineering course starting...
Science & Math
Physics
Mathematics
intermediate
MIT OCW
free
Systems, Modeling, and Control II
Prof. Franz Hover
Upon successful completion of this course, students will be able to:
Create lumped parameter models (expressed as...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Nonlinear Programming
Prof. Robert Freund
This course introduces students to the fundamentals of nonlinear optimization theory and methods. Topics include...
Business & Management
Systems Thinking
Science & Math
advanced
MIT OCW
free
Statistical Mechanics II: Statistical Physics of Fields
Prof. Mehran Kardar
This is the second term in a two-semester course on statistical mechanics. Basic principles are examined in this...
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Algebra II Student Notes
Algebra II is the second semester of a year-long introduction to modern algebra. The course focuses on group...
Science & Math
Mathematics
intermediate
MIT OCW
free
Quantitative Reasoning & Statistical Methods for Planners I
Ezra Haber Glenn
This course develops logical, empirically based arguments using statistical techniques and analytic methods....
Social Sciences
Urban Studies
Science & Math
advanced
MIT OCW
free
How to Win at Texas Hold'em Poker
Will Ma
Offered during MIT’s Independent Activites Period (IAP), this short course covers the poker concepts, math concepts,...
Science & Math
Mathematics
advanced
MIT OCW
free
Numerical Methods for Partial Differential Equations (SMA 5212)
Prof. Boo Cheong Khoo
A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic,...
Science & Math
Mathematics
advanced
MIT OCW
free
Statistical Method in Economics
Prof. Anna Mikusheva
This course is divided into two sections, Part I and Part II. Part I, found here, provides an introduction to...
Social Sciences
Economics
Science & Math
advanced
MIT OCW
free
Nonlinear Dynamics and Chaos
Prof. Rodolfo Rosales
This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with...
Science & Math
Mathematics
advanced
MIT OCW
free
Paradox and Infinity
Prof. Agustín Rayo
This course presents highlights of the more technical side of philosophy. It studies a cluster of puzzles,...
Social Sciences
Economics
Science & Math
intermediate
MIT OCW
free
Music and Technology: Algorithmic and Generative Music
Prof. Christopher Ariza
This course examines the history, techniques, and aesthetics of mechanical and computer-aided approaches to...
Art, Design & Architecture
Media Studies
Data Science, Analytics & Computer Technology
intermediate
MIT OCW
free
Integral Equations
Dr. Dionisios Margetis
This course emphasizes concepts and techniques for solving integral equations from an applied mathematics...
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations
Prof. Rohan Abeyaratne
This course forms an introduction to a selection of mathematical topics that are not covered in traditional...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler
Prof. Gilbert Strang
Learn Differential Equations: Up Close with _Gilbert Strang and_ Cleve Moler is an in-depth series of videos about...
Data Science, Analytics & Computer Technology
Programming & Coding
Computer Science
intermediate
MIT OCW
free
Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics
Prof. Igor Pak
This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with...
Science & Math
Mathematics
advanced
MIT OCW
free
Functions of a Complex Variable
Prof. Sigurdur Helgason
This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis....
Science & Math
Mathematics
intermediate
MIT OCW
free
Uncertainty in Engineering
Prof. Daniele Veneziano
This course gives an introduction to probability and statistics, with emphasis on engineering applications. Course...
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Applied Quantum and Statistical Physics
Prof. Terry Orlando
6.728 is offered under the department’s “Devices, Circuits, and Systems” concentration. The course covers concepts...
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Mathematical Methods in Nanophotonics
Prof. Steven G. Johnson
Find out what solid-state physics has brought to Electromagnetism in the last 20 years. This course surveys the...
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Introduction to Representation Theory
Prof. Pavel Etingof
The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie...
Science & Math
Mathematics
intermediate
MIT OCW
free
Introduction to Shape Grammars I
Prof. George Stiny
Shape grammars are systems of visual rules by which one shape may be transformed into another. By applying these...
Art, Design & Architecture
Architecture
Science & Math
advanced
MIT OCW
free
Random Walks and Diffusion
Prof. Martin Bazant
This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum)...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Category Theory for Scientists
Dr. David I. Spivak
The goal of this class is to prove that category theory is a powerful language for understanding and formalizing...
Science & Math
Mathematics
advanced
MIT OCW
free
Inference from Data and Models
Carl Wunsch
This course covers the fundamental methods used for exploring the information content of observations related to...
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Political Science Laboratory
Prof. Charles Stewart
This course introduces students to the conduct of political research using quantitative methodologies. The methods...
Social Sciences
Political Science
Science & Math
intermediate
MIT OCW
free
Geometry of Manifolds
Prof. Tomasz Mrowka
Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms. It also...
Science & Math
Mathematics
advanced
MIT OCW
free
Honors Differential Equations
Prof. Jason Starr
This course covers the same material as 18.03 with more emphasis on theory. Topics include first order equations,...
Science & Math
Mathematics
intermediate
MIT OCW
free
Differential Analysis II: Partial Differential Equations and Fourier Analysis
Prof. Lawrence D Guth
In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to...
Science & Math
Mathematics
advanced
MIT OCW
free
Geometric Combinatorics
Dr. Csaba Toth
This course offers an introduction to discrete and computational geometry. Emphasis is placed on teaching methods in...
Data Science, Analytics & Computer Technology
Algorithms and Data Structures
Computer Science
advanced
MIT OCW
free
Probability And Its Applications To Reliability, Quality Control, And Risk Assessment
Prof. Michael Golay
This course covers interpretations of the concept of probability. Topics include basic probability rules; random...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Topics in Geometry: Mirror Symmetry
Prof. Denis Auroux
This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic...
Science & Math
Physics
Mathematics
advanced
MIT OCW
free
Calculus Revisited: Single Variable Calculus
Prof. Herbert Gross
Calculus Revisited is a series of videos and related resources that covers the materials normally found in a...
Science & Math
Mathematics
intermediate
MIT OCW
free
Algebraic Topology II
Prof. Haynes Miller
This is the second part of the two-course series on algebraic topology. Topics include basic homotopy theory,...
Science & Math
Mathematics
advanced
MIT OCW
free
Number Theory II: Class Field Theory
Dr. Sam Raskin
This course is the continuation of 18.785 Number Theory I. It begins with an analysis of the quadratic case of Class...
Science & Math
Mathematics
advanced
MIT OCW
free
Topics in Algebraic Number Theory
Prof. Kiran Kedlaya
This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers,...
Science & Math
Mathematics
advanced
MIT OCW
free
The Polynomial Method
Prof. Lawrence D Guth
This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the...
Mathematics
Science & Math
advanced
MIT OCW
free
Systems Optimization: Models and Computation (SMA 5223)
Prof. Jie Sun
This class is an applications-oriented course covering the modeling of large-scale systems in decision-making...
Business & Management
Systems Thinking
Data Science, Analytics & Computer Technology
advanced
MIT OCW
free
Representations of Lie Groups
Prof. Pavel Etingof
The goal of this course is to give an introduction to the representation theory of compact and non-compact Lie...
Mathematics
Science & Math
advanced
MIT OCW
free
Graduate Topology Seminar: Kan Seminar
Prof. Haynes Miller
This is a literature seminar with a focus on classic papers in Algebraic Topology. It is named after the late MIT...
Mathematics
Science & Math
advanced
MIT OCW
free
Stochastic Processes, Detection, and Estimation
Prof. Gregory Wornell
This course examines the fundamentals of detection and estimation for signal processing, communications, and...
Science & Math
Mathematics
Engineering
advanced
MIT OCW
free
Lie Groups and Lie Algebras II
Prof. Pavel Etingof
This course is the second half of the year-long introductory graduate sequence Lie Groups and Lie Algebras I &...
Science & Math
Mathematics
advanced
MIT OCW
free
Introduction to Metric Spaces
Paige Bright
This course provides a basic introduction to metric spaces. It covers metrics, open and closed sets, continuous...
Mathematics
Science & Math
intermediate
MIT OCW
free
Calculus Revisited: Multivariable Calculus
Prof. Herbert Gross
Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman-...
Mathematics
Science & Math
intermediate
MIT OCW
free
Engineering Risk-Benefit Analysis
Prof. George Apostolakis
ERBA (ESD.72) emphasizes three methodologies - reliability and probabilistic risk assessment (RPRA), decision...
Mathematics
Systems Engineering
Engineering
advanced
MIT OCW
free
Modeling Dynamics and Control II
Prof. George Haller
This course is the second subject of a two-term sequence on modeling, analysis and control of dynamic systems....
Science & Math
Mathematics
Engineering
intermediate
MIT OCW
free
Undergraduate Seminar in Discrete Mathematics
Dr. Omer Tamuz
This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general....
Mathematics
Science & Math
intermediate
MIT OCW
free
Visualizing Materials Science
Prof. W. Craig Carter
This resource is a collection of student tutorial videos that explore various materials science and engineering...
Mathematics
Materials Science and Engineering
Engineering
intermediate
MIT OCW
free
The Art of Counting
Prof. Richard Stanley
The subject of enumerative combinatorics deals with counting the number of elements of a finite set. For instance,...
Mathematics
Science & Math
intermediate
MIT OCW
free
Advanced Analytic Methods in Science and Engineering
Prof. Hung Cheng
Advanced Analytic Methods in Science and Engineering is a comprehensive treatment of the advanced methods of applied...
Science & Math
Mathematics
advanced
MIT OCW
free
Statistical Physics II
Prof. Xiao-Gang Wen
This course covers probability distributions for classical and quantum systems. Topics include: Microcanonical,...
Physics
Mathematics
Science & Math
intermediate
MIT OCW
free
Introduction to Arithmetic Geometry
Andrew V. Sutherland
This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry...
Mathematics
Science & Math
intermediate
MIT OCW
free
Nonlinear Dynamics II: Continuum Systems
Prof. Jörn Dunkel
This course introduces the basic ideas for understanding the dynamics of continuum systems, by studying specific...
Physics
Mathematics
Science & Math
advanced
MIT OCW
free
Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra
Prof. Herbert Gross
Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman-...
Mathematics
Science & Math
intermediate
MIT OCW
free
Topics in Combinatorial Optimization
Prof. Michel Goemans
In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with...
Engineering
Systems Thinking
Mathematics
advanced
MIT OCW
free
Queues: Theory and Applications
Prof. David Gamarnik
This class deals with the modeling and analysis of queueing systems, with applications in communications,...
Mathematics
Operations
Systems Engineering
advanced
MIT OCW
free
Nonlinear Dynamics I: Chaos
Lyubov Chumakova
This course provides an introduction to nonlinear dynamics and chaos in dissipative systems. The content is...
Mathematics
Science & Math
intermediate
MIT OCW
free
Stochastic Estimation and Control
Prof. Wallace Vander Velde
The major themes of this course are estimation and control of dynamic systems. Preliminary topics begin with reviews...
Engineering
Mathematics
Aerospace Engineering
advanced
MIT OCW
free
Introduction To MATLAB Programming
Yossi Farjoun
This course is intended to assist undergraduates with learning the basics of programming in general and programming...
Engineering
Programming & Coding
Mathematics
intermediate
MIT OCW
free
Dynamics and Control II
Prof. Derek Rowell
Upon successful completion of this course, students will be able to:
Create lumped parameter models (expressed as...
Mathematics
Mechanical Engineering
Engineering
intermediate
MIT OCW
free
Manufacturing Systems Analysis
Dr. Stanley Gershwin
This course covers the following topics: models of manufacturing systems, including transfer lines and flexible...
Mathematics
Operations
Systems Engineering
advanced
MIT OCW
free
Topics in Statistics: Nonparametrics and Robustness
Prof. Richard Dudley
This graduate-level course focuses on one-dimensional nonparametric statistics developed mainly from around 1945 and...
Mathematics
Science & Math
advanced
MIT OCW
free
Introduction to Lie Groups
Prof. Sigurdur Helgason
This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The...
Mathematics
Science & Math
advanced
MIT OCW
free
System Functions and the Laplace Transform
Dr. Philip Pearce
This half-semester course studies basic continuous control theory as well as representation of functions in the...
Mathematics
Science & Math
intermediate
MIT OCW
free
Doctoral Seminar in Research Methods II
Prof. Jesper B. Sorensen
A large proportion of contemporary research on organizations, strategy and management relies on quantitative...
Mathematics
Science & Math
advanced
MIT OCW
free
The Art of the Probable: Literature and Probability
Prof. Noel Jackson
“The Art of the Probable” addresses the history of scientific ideas, in particular the emergence and development of...
Humanities
History
Mathematics
intermediate
MIT OCW
free
Drawings & Numbers: Five Centuries of Digital Design
Leonardo Diaz Borioli
The aim of this course is to highlight some technical aspects of the classical tradition in architecture that have...
Mathematics
Architecture
Art, Design & Architecture
advanced
MIT OCW
free
Error-Correcting Codes Laboratory
Prof. Daniel Spielman
This course introduces students to iterative decoding algorithms and the codes to which they are applied, including...
Mathematics
Computer Science
Engineering
intermediate
MIT OCW
free
Calculus for Beginners and Artists
Daniel Kleitman
This online textbook provides an overview of Calculus in clear, easy to understand language designed for the...
Science & Math
Mathematics
intermediate
MIT OCW
free
Special Seminar in Applied Probability and Stochastic Processes
Prof. David Gamarnik
This seminar is intended for doctoral students and discusses topics in applied probability. This semester includes a...
Mathematics
Science & Math
advanced
MIT OCW
free
Algebraic Techniques and Semidefinite Optimization
Prof. Pablo Parrilo
This research-oriented course will focus on algebraic and computational techniques for optimization problems...
Mathematics
Systems Engineering
Systems Thinking
advanced
MIT OCW
free
Topics in Theoretical Computer Science: An Algorithmist's Toolkit
Prof. Jonathan Kelner
This course covers a collection of geometric techniques that apply broadly in modern algorithm design.
Mathematics
Computer Science
Engineering
advanced
MIT OCW
free
Noncommutative Algebra
Prof. Roman Bezrukavnikov
Noncommutative algebra studies algebraic phenomena involving multiplication for which commutativity law fails, such...
Mathematics
Science & Math
advanced
MIT OCW
free
Random Matrix Theory and Its Applications
Prof. Moe Win
This course is an introduction to the basics of random matrix theory, motivated by engineering and scientific applications.
Mathematics
Science & Math
advanced
MIT OCW
free
Models, Data and Inference for Socio-Technical Systems
Prof. Daniel Frey
In this class, students use data and systems knowledge to build models of complex socio-technical systems for...
Mathematics
Systems Engineering
Computer Science
advanced
MIT OCW
free
Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry
Prof. Steven Kleiman
In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject...
Mathematics
Science & Math
intermediate
MIT OCW
free
Probability and Causality in Human Cognition
Prof. Joshua Tenenbaum
Probability theory captures a number of essential characteristics of human cognition, including aspects of...
Mathematics
Cognitive Science
Science & Math
advanced
MIT OCW
free
Wavelets, Filter Banks and Applications
Prof. Gilbert Strang
Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are...
Electrical Engineering
Mathematics
Engineering
advanced
MIT OCW
free
Algorithmic Lower Bounds: Fun with Hardness Proofs
Prof. Erik Demaine
6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs is a class taking a practical approach to proving problems...
Mathematics
Computer Science
Engineering
advanced
MIT OCW
free
Topics in Applied Mathematics: Waves and Imaging
Prof. Laurent Demanet
This class covers the mathematics of inverse problems involving waves, with examples taken from reflection...
Mathematics
Science & Math
advanced
MIT OCW
free
Computability Theory of and with Scheme
Prof. Albert R. Meyer
6.844 is a graduate introduction to programming theory, logic of programming, and computability, with the...
Mathematics
Computer Science
Engineering
advanced
MIT OCW
free
Engineering Economy Module
Michel-Alexandre Cardin
This intensive micro-subject provides the necessary skills in Microsoft® Excel spreadsheet modeling for ESD.71...
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Systems Engineering
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advanced
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Topics in Algebraic Geometry: Algebraic Surfaces
Prof. Abhinav Kumar
The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for...
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Science & Math
advanced
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Infinite Random Matrix Theory
Prof. Moe Win
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advanced
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Special Topics in Media Technology: Computational Semantics
Prof. Deb Roy
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advanced
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Seminar in Topology
Dr. Andrew Snowden
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intermediate
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Applied Geometric Algebra
László Tisza
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intermediate
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Dr. Emma Carberry
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Literature
intermediate
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Numerical Marine Hydrodynamics (13.024)
Prof. Jerome Milgram
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advanced
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Topics in Combinatorics: Analysis of Boolean Functions
Prof. Dor Minzer
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Science & Math
advanced
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free
Topics in Theoretical Computer Science: Probabilistically Checkable Proofs
Prof. Dor Minzer
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advanced
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Blended Learning Open Source Science or Math Studies (BLOSSOMS)
Richard C. Larson
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intermediate
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Behavior of Algorithms
Prof. Daniel Spielman
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Computer Science
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Project Laboratory in Mathematics
Prof. Haynes Miller
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intermediate
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Topics in Algebraic Topology: The Sullivan Conjecture
Prof. Jacob Lurie
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Readings in Optimization
Prof. Robert Freund
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advanced
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The Art of Approximation in Science and Engineering
Sanjoy Mahajan
This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis,...
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Computer Science
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intermediate
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Topics in Algebraic Combinatorics
Prof. Richard Stanley
The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem...
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Science & Math
advanced
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Topics in Algebraic Geometry: Intersection Theory on Moduli Spaces
Dr. Izzet Coskun
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The Art of Insight in Science and Engineering: Mastering Complexity
Sanjoy Mahajan
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Dr. Emma Carberry
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intermediate
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Combinatorial Theory: Hyperplane Arrangements
Prof. Richard Stanley
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advanced
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Interfacial Phenomena
Prof. John W. M. Bush
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advanced
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Seminar in Analysis: Applications to Number Theory
Dr. Dan Ciubotaru
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intermediate
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Statistical Thermodynamics of Complex Liquids
Prof. Sow-Hsin Chen
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advanced
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Simplicity Theory
Dr. Itay Ben-Yaacov
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advanced
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Topics in Lie Theory: Tensor Categories
Prof. Pavel Etingof
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advanced
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Topics in Geometry: Dirac Geometry
Prof. Marco Gualtieri
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advanced
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Atmospheric and Oceanic Modeling
Prof. John Marshall
The numerical methods, formulation and parameterizations used in models of the circulation of the atmosphere and...
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advanced
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Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves
Dr. Daniel Rogalski
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intermediate
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Topics in Several Complex Variables
Prof. Victor Guillemin
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advanced
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Universal Random Structures in 2D
Prof. Scott Sheffield
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advanced
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Prediction and Predictability in the Atmosphere and Oceans
Prof. Jim Hansen
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advanced
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Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics
Prof. Pavel Etingof
Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many...
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Revision Term 1 KA Math Class 7
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Revision Term 1 NCERT Math Class 7 (New)
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MH Math Class 8
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1st grade math
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Class 10 Math (India) - Hindi
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Revision Term 1 TG Math Class 11
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MH Math Class 2 (Bridge)
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Revision Term 1 NCERT Math Class 11
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KA Revision Class 7 Math
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TG Math Class 11
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5th grade Math (MELCS)
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Revision Term 1 NCERT Math Class 7
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6th grade (NY Next Gen)
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Board Preparation NCERT Math 10
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Revision - NCERT Class 11 Math
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Revision - Odisha Class 6
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Analyze, model, and solve real-world problems using functions, equations, and data in Algebra 2.
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UP Math Class 6 (Bridge)
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UP SW Math Class 9 (Bridge)
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Revision Term 1 NCERT Math Class 9
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Grade 7 Math - Pakistan National Curriculum
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Revision TG math class 6
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MH Math Class 6 (New)
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NCERT Math Class 11 (Bridge)
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8th grade foundations (Eureka Math/EngageNY)
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Teacher resources (TX TEKS Math)
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Trigonometry
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Geometry (Eureka Math/EngageNY)
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High school geometry
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edX
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Ecole Polytechnique Federale De Lausanne Introduction To Discrete Choice Models
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