Mathematics
170 resources — showing top 120
MIT OCW
free
course
Linear Algebra
Prof. Gilbert Strang
This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
Multivariable Calculus
Prof. Denis Auroux
This course covers differential, integral and vector calculus for functions of more than one variable. These...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
Single Variable Calculus
Prof. David Jerison
This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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...
Engineering
Mathematics
Mechanical Engineering
intermediate
MIT OCW
free
course
Probabilistic Systems Analysis and Applied Probability
Prof. John Tsitsiklis
This course introduces students to the modeling, quantification, and analysis of uncertainty. The tools of...
Engineering
Mathematics
Science & Math
intermediate
MIT OCW
free
course
Discrete Stochastic Processes
Prof. Robert Gallager
Discrete stochastic processes are essentially probabilistic systems that evolve in time via random changes occurring...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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...
Engineering
Mathematics
Science & Math
advanced
MIT OCW
free
course
Introduction To MATLAB Programming
Yossi Farjoun
This course is intended to assist undergraduates with learning the basics of programming in general and programming...
Computer Science
Data Science, Analytics & Computer Technology
Engineering
intermediate
MIT OCW
free
course
Project Laboratory in Mathematics
Prof. Haynes Miller
Project Laboratory in Mathematics is a course designed to give students a sense of what it’s like to do mathematical...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
Real Analysis
Prof. Tobias Colding
This course gives an introduction to analysis, and the goal is twofold:
...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Introduction to Probability and Statistics
Dr. Jeremy Orloff
This course provides an elementary introduction to probability and statistics with applications. Topics include...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Statistical Thinking and Data Analysis
Prof. Cynthia Rudin
This course is an introduction to statistical data analysis. Topics are chosen from applied probability, sampling,...
Computer Science
Data Science
Data Science, Analytics & Computer Technology
intermediate
MIT OCW
free
course
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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
Economic Applications of Game Theory
Prof. Ian Ball
Game theory is the mathematical analysis of strategic interaction. It is used to analyze situations in which one...
Economics
Social Sciences
intermediate
MIT OCW
free
course
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Differential Equations
Dr. Jeremy Orloff
This course, taught to students in MIT’s Experimental Study Group, is equivalent to the Mathematics Department’s...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Advanced Stochastic Processes
Prof. David Gamarnik
This class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Computational Science and Engineering I
Dr. Chengzhao (Richard) Zhang
This course provides the fundamental computational toolbox for solving science and engineering problems. Topics...
Engineering
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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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...
Biological Engineering
Biology
Engineering
advanced
MIT OCW
free
course
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Introduction to Statistical Method in Economics
Herman Bennett
This course is a self-contained introduction to statistics with economic applications. Elements of probability...
Economics
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Introduction to Statistical Methods in Economics
Konrad Menzel
This course will provide a solid foundation in probability and statistics for economists and other social...
Economics
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Introduction to Partial Differential Equations
Prof. Jared Speck
This course introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. It...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
Relativistic Quantum Field Theory I
Prof. Hong Liu
This course is a one-term self-contained subject in quantum field theory. Concepts and basic techniques are...
Physics
Science & Math
advanced
MIT OCW
free
course
text only
Theory of Numbers
Prof. Abhinav Kumar
This course is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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
Mathematics
intermediate
MIT OCW
free
course
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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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Probability and Random Variables
Prof. Scott Sheffield
This course introduces students to probability and random variables. Topics include distribution functions,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Combinatorial Analysis
Prof. Richard Stanley
This course analyzes combinatorial problems and methods for their solution. Topics include: enumeration, generating...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Convex Analysis and Optimization
Prof. Dimitri Bertsekas
This course will focus on fundamental subjects in convexity, duality, and convex optimization algorithms. The aim is...
Algorithms and Data Structures
Computer Science
Data Science, Analytics & Computer Technology
advanced
MIT OCW
free
course
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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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
Essential Numerical Methods
Prof. Ian H. Hutchinson
This half-semester course introduces computational methods for solving physical problems, especially in nuclear...
Engineering
Mathematics
Nuclear Engineering
advanced
MIT OCW
free
course
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Analysis I
Prof. Katrin Wehrheim
Analysis I covers fundamentals of mathematical analysis: metric spaces, convergence of sequences and series,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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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...
Algorithms and Data Structures
Computer Science
Data Science, Analytics & Computer Technology
advanced
MIT OCW
free
course
text only
Game Theory for Managers
Prof. David McAdams
This half-term course examines the choices that we make which affect others and the choices others make that affect...
Business & Management
Economics
Management
advanced
MIT OCW
free
course
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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...
Humanities
Literature
Mathematics
intermediate
MIT OCW
free
course
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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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Linear Partial Differential Equations
Dr. Matthew Hancock
This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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
course
text only
Geometric Disciplines and Architecture Skills: Reciprocal Methodologies
Brandon Clifford
This course is an intensive introduction to architectural design tools and process, and is taught through a series...
Architecture
Art, Design & Architecture
advanced
MIT OCW
free
course
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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
course
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
course
text only
Functions of a Complex Variable
Prof. Sigurdur Helgason
This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis....
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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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,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
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
course
text only
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...
History
Humanities
Literature
intermediate
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
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
course
text only
Seminar in Topology
Dr. Andrew Snowden
This course is a seminar in topology. The main mathematical goal is to learn about the fundamental group, homology...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves
Dr. Daniel Rogalski
This is a seminar for mathematics majors, where the students present the lectures. No prior experience giving...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Mathematical Exposition
Dr. Emma Carberry
This course provides techniques of effective presentation of mathematical material. Each section of this course is...
Communication
Humanities
Literature
intermediate
MIT OCW
free
course
text only
Seminar in Analysis: Applications to Number Theory
Dr. Dan Ciubotaru
18.104 is an undergraduate level seminar for mathematics majors. Students present and discuss subject matter taken...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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Seminar in Geometry
Dr. Emma Carberry
In this course, students take turns in giving lectures. For the most part, the lectures are based on Robert...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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
Mathematics
intermediate
MIT OCW
free
course
Principles of Discrete Applied Mathematics
Prof. Ankur Moitra
This course will teach you illustrative topics in discrete applied mathematics, including counting, generating...
Communication
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Probability and Statistics in Engineering
Prof. Daniele Veneziano
This class covers quantitative analysis of uncertainty and risk for engineering applications. Fundamentals of...
Civil Engineering
Engineering
Mathematics
advanced
MIT OCW
free
course
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...
Electrical Engineering
Engineering
Mathematics
intermediate
MIT OCW
free
course
Projection Theory
Prof. Lawrence D Guth
The class studies projection theory, starting from the first questions and building up to recent developments....
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Mathematical Statistics
Dr. Peter Kempthorne
This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It...
Economics
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Modern Algebra
Prof. James McKernan
This undergraduate course focuses on traditional algebra topics that have found greatest application in science and...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
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
Electrical Engineering
Engineering
intermediate
MIT OCW
free
course
Statistics for Applications
Prof. Philippe Rigollet
This course offers an in-depth the theoretical foundations for statistical methods that are useful in many...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Introduction to Stochastic Processes
Dr. Hao Wu
This course is an introduction to Markov chains, random walks, martingales, and Galton-Watsom tree. The course...
Mathematics
Science & Math
advanced
MIT OCW
free
course
Probabilistic Methods in Combinatorics
Prof. Yufei Zhao
This course is a graduate-level introduction to the probabilistic methods, a fundamental and powerful technique in...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Relativistic Quantum Field Theory III
Prof. Frank Wilczek
This is the third and last term of the quantum field theory sequence. The course is devoted to the standard model of...
Physics
Science & Math
advanced
MIT OCW
free
course
text only
Multivariable Calculus Recitation Notes
Dr. Evan Chen
These lecture notes and exercises (with solutions) cover MIT’s multivariable calculus sequence as taught in Fall...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Game Theory with Engineering Applications
Prof. Asuman Ozdaglar
This course is an introduction to the fundamentals of game theory and mechanism design. Motivations are drawn from...
Economics
Engineering
Mechanical Engineering
advanced
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Quantitative Reasoning & Statistical Methods for Planners I
Ezra Haber Glenn
This course develops logical, empirically based arguments using statistical techniques and analytic methods....
Mathematics
Science & Math
Social Sciences
advanced
MIT OCW
free
course
text only
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...
Engineering
Mathematics
Mechanical Engineering
advanced
MIT OCW
free
course
text only
Geometry of Manifolds
Prof. Denis Auroux
This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Differential Analysis
Prof. Richard Melrose
This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
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...
Engineering
Mathematics
Mechanical Engineering
advanced
MIT OCW
free
course
text only
Street-Fighting Mathematics
Sanjoy Mahajan
This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation....
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Integral Equations
Dr. Dionisios Margetis
This course emphasizes concepts and techniques for solving integral equations from an applied mathematics...
Mathematics
Physics
Science & Math
advanced
MIT OCW
free
course
text only
Nonlinear Dynamics and Chaos
Prof. Rodolfo Rosales
This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with...
Mathematics
Science & Math
advanced
MIT OCW
free
course
Effective Field Theory
Prof. Iain Stewart
Effective field theory is a fundamental framework to describe physical systems with quantum field theory. Part I of...
Physics
Science & Math
advanced
MIT OCW
free
course
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
course
text only
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,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Relativistic Quantum Field Theory II
Prof. Hong Liu
This course is the second course of the quantum field theory trimester sequence beginning with Relativistic Quantum...
Physics
Science & Math
advanced
MIT OCW
free
course
text only
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
course
text only
Game Theory
Prof. Mihai Manea
This course provides a rigorous treatment of non-cooperative solution concepts in game theory, including...
Economics
Social Sciences
advanced
MIT OCW
free
course
text only
Computational Biology
Prof. Manolis Kellis
This course covers the algorithmic and machine learning foundations of computational biology combining theory with...
Biological Engineering
Engineering
intermediate
MIT OCW
free
course
Calculus I: Single Variable Calculus
Prof. David Jerison
Master the calculus of derivatives, integrals, coordinate systems, and infinite series.
In this three-part series...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Genomics and Computational Biology
Dr. George Church
This course will assess the relationships among sequence, structure, and function in complex biological networks as...
Biological Engineering
Biology
Biomedical Technologies
advanced
MIT OCW
free
course
text only
Differential Geometry
Prof. Paul Seidel
This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Introduction to Topology
Prof. James Munkres
This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Algebra I
Prof. Michael Artin
This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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...
Engineering
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Introduction to MATLAB
Yossi Farjoun
This course was offered as a non-credit program during the Independent Activities Period (IAP), January 2008. A more...
Computer Science
Data Science, Analytics & Computer Technology
Engineering
intermediate
MIT OCW
free
course
text only
Introduction to Numerical Analysis
Prof. Laurent Demanet
This course analyzed the basic techniques for the efficient numerical solution of problems in science and...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Introduction to Analysis
Prof. Arthur Mattuck
Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Theory of Probability
Prof. Scott Sheffield
This course covers topics such as sums of independent random variables, central limit phenomena, infinitely...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Algebraic Combinatorics
Prof. Alexander Postnikov
This course covers the applications of algebra to combinatorics. Topics include enumeration methods, permutations,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Non-Equilibrium Statistical Mechanics
Jianshu Cao
This course discusses the principles and methods of non-equilibrium statistical mechanics. Basic topics covered are...
Chemistry
Mathematics
Physics
advanced
MIT OCW
free
course
text only
Statistics for Brain and Cognitive Science
Emery N Brown
Provides students with the basic tools for analyzing experimental data, properly interpreting statistical reports in...
Cognitive Science
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
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
course
text only
Principles of Applied Mathematics
Prof. Rodolfo Rosales
18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics,...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
Nonlinear Dynamics: Chaos
Prof. Daniel Rothman
This course provides an introduction to nonlinear dynamics and chaos in dissipative systems. The content is...
Earth Science
Mathematics
Physics
intermediate
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Algebraic Topology I
Prof. Haynes Miller
This is a course on the singular homology of topological spaces. Topics include: Singular homology, CW complexes,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
High-Dimensional Statistics
Prof. Philippe Rigollet
This course offers an introduction to the finite sample analysis of high- dimensional statistical methods. The goal...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
advanced
MIT OCW
free
course
ChemLab Boot Camp
Dr. John J. Dolhun
Each year, groups of MIT freshmen are introduced to MIT’s laboratory environment through a four-week intensive...
Chemistry
Science & Math
beginner
MIT OCW
free
course
text only
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...
Economics
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Computational Quantum Mechanics of Molecular and Extended Systems
Prof. Bernhardt Trout
The theoretical frameworks of Hartree-Fock theory and density functional theory are presented in this course as...
Chemical Engineering
Chemistry
Engineering
advanced
MIT OCW
free
course
text only
Measure and Integration
Prof. Jeff Viaclovsky
This graduate-level course covers Lebesgue’s integration theory with applications to analysis, including an...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
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...
Mathematics
Science & Math
intermediate
MIT OCW
free
course
Digital Lab Techniques Manual
Dr. Kimberly Berkowski
The “Digital Lab Techniques Manual” is a series of videos designed to help you prepare for your chemistry laboratory...
Chemistry
Science & Math
intermediate
MIT OCW
free
course
text only
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,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Commutative Algebra
Prof. Steven Kleiman
In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton...
Mathematics
Science & Math
advanced