This is a comprehensive collection of audio/video courses and lectures in mathematics and its applications from educational institutions such as MIT OpenCourseWare, UC Berkeley Webcasts and NPTEL Courses. There are thousands of open lectures available online, covering various topics in mathematics and its applications: algebra, applied mathematics, calculus, complex analysis, differential equations, discrete mathematics, Fourier transform and its applications, functional analysis, geometry, history of mathematics, linear algebra, numerical analysis, probability and statistics, and more.

MIT OpenCourseWare
Video Res.18-005 - Highlights of Calculus
Video/text Res.18-006 - Calculus Revisited: Single Variable Calculus
Video/text Res.18-007 - Calculus Revisited: Multivariable Calculus
Video/text Res.18-008 - Calculus Revisited: Complex Variables, Differential Equations,
and Linear Algebra
Video/text Res.18-009 - Learn Differential Equations
Video/text 18.01 - Single Variable Calculus
Video/text 18.02 - Multivariable Calculus
Video/text 18.03 - Differential Equations
Video/text 18.06SC - Linear Algebra (Fall 2011)
Video/text 18.06 - Linear Algebra
Video/text 18.065 - Matrix Methods in Data Analysis, Signal Processing, and Machine Learning
Video/text 18.085 - Computational Science and Engineering I
Audio/video 18.086 - Mathematical Methods for Engineers II
Video/text 18.100A - Real Analysis
Video/text 18.102 - Introduction to Functional Analysis
Video/text 18.217 - Graph Theory and Additive Combinatorics
Video/text 18.650 - Statistics for Applications
Audio/video 18.404J - The Theory of Computation
Audio/video 18.410J - Introduction to Algorithms (SMA 5503)
Video 18.062J - Mathematics for Computer Science (Fall 2010)
Video/text 18.S096 - Matrix Calculus for Machine Learning and Beyond (IAP 2023)
Video/text 18.S096 - Topics in Mathematics with Applications in Finance
Video/text Res.6-012 - Introduction to Probability
Video/text 6.041 - Probabilistic Systems Analysis and Applied Probability
Video/text 6.262 - Discrete Stochastic Processes

UC Berkeley Webcast
Video Math 53 - Multivariable Calculus (Fall 2009)
Video/text CS 70 - Discrete Mathematics and Probability Theory (Spring 2015)
Video/text CS 70 - Discrete Mathematics and Probability Theory (Fall 2012)
Video Statistics 20 - Introduction to Probability and Statistics (Fall 2010)
Video Statistics 21 - Introductory Probability and Statistics for Business (Fall 2009)
Video Statistics 21 - Introductory Probability and Statistics for Business (Spring 2010)

Department of Mathematics, University of Colorado at Colorado Springs
Video/text Video Course Archive

This contains many video lectures on mathematics including Calculus, Discrete mathematics, linear algebra, differential equations, geometry, applied mathematics, modern analysis, mathematical statistics, and mathematical modeling.
Note: Registration is required to view the videos. The videos are in mov file format which is supported by Apple Quick Time Player.

Department of Mathematics and Statistics, University of Missouri - Kansas City
Video Math 110 - College Algebra
Video Math 210 - Calculus I

New York University - Open Education
Video Calculus I
Video Statistics for Behavioral Science

UCI OpenCourseWare
Video Math 2A - Calculus
Video Math 2B - Calculus
Video Math 113B - Mathematical Biology
Video Math 131A - Introduction to Probability and Statistics
Video Math 131B - Introduction to Probability and Statistics

Harvard University Extension School
Video/text Math E-102 - Sets, Counting, and Probability
Video/text Math E-222 - Abstract Algebra
Video/text Statistics 110 - Probability

Harvey Mudd College Department of Mathematics
Video Math 131 - Real Analysis I

The University of Nottingham on YouTube
Video/text G12MAN - Mathematical Analysis
Video/text G14FUN - Functional Analysis
Video Mathematics: Definitions, Proofs and Examples
Video Mathematics: Core Topics in University Mathematics

YouTube - UNSWelearning's Channel (The University of New South Wales)
Video MATH 3560 - History of Mathematics
Video A First Course in Linear Algebra
Video The Algebraic Topology: A Beginner's Course
Video Universal Hyperbolic Geometry
Video Differential Geometry
Video Vector Calculus

NPTEL Courses
Video Mathematics I (Calculus)
Video Mathematics II (Complex Variables, Linear Algebra)
Video Mathematics III (Differential Equations)
Video Basic Calculus for Engineers, Scientists and Economists
Video Calculus of Variations and Integral Equations
Video Multivariable Calculus
Video Integral Equations, Calculus of Variations and its Applications
Video Ordinary Differential Equations and Applications
Video Ordinary and Partial Differential Equations and Applications
Video Partial Differential Equations
Video Numerical Methods of Ordinary and Partial Differential Equations
Video Differential Calculus in Several Variables
Video Partial Differential Equations (PDE) for Engineers
Video Integral and Vector Calculus
Video Engineering Mathematics I
Video Engineering Mathematics II
Video Advanced Engineering Mathematics (IIT Kharagpur)
Video Advanced Engineering Mathematics (IIT Roorkee)
Video Higher Engineering Mathematics (IIT Roorkee)
Video Advanced Matrix Theory and Linear Algebra for Engineers
Video Introduction to Methods of Applied Mathematics
Video Mathematical Methods in Engineering and Science
Video Mathematical Methods and its Applications
Video Mathematical Methods for Boundary Value Problems
Video Mathematics for Chemistry
Video Advanced Mathematical Techniques in Chemical Engineering
Video Transform Techniques for Engineers
Video Integral Transforms and their Applications
Video Introduction to Abstract Group Theory
Video Curves and Surfaces
Video An Introduction to Riemann Surfaces and Algebraic Curves
Video Basic Algebraic Geometry
Video Introduction to Algebraic Geometry and Commutative Algebra
Video Computational Number Theory and Algebra
Video Introduction to Commutative Algebra
Video Commutative Algebra
Video Introduction to Abstract and Linear Algebra
Video Linear Algebra (IIT Kanpur)
Video Linear Algebra (IIT Madras)
Video Linear Algebra (IISc Bangalore)
Video Applied Linear Algebra
Video Matrix Theory
Video Matrix Analysis with Applications
Video Matrix Computation and its Applications
Video Numerical Linear Algebra
Video Mathematical Logic
Video Discrete Mathematics (IIT Roorkee)
Video Discrete Mathematics (CMI)
Video Probability and Statistics
Video Probability Theory and Applications
Video Probability Foundation for Electrical Engineers
Video Probability and Random Processes
Video Statistical Methods for Scientists and Engineers
Video Statistical Inference
Video Applied Multivariate Statistical Modeling
Video Applied Multivariate Analysis
Video Introduction to Probability Theory and Stochastic Processes
Video Stochastic Processes
Video Discrete-Time Markov Chains and Poisson Processes
Video Probability and Stochastics for Finance
Video Regression Analysis
Video Linear Regression Analysis and Forecasting
Video A Basic Course in Real Analysis
Video Introductory Course in Real Analysis
Video Real Analysis
Video Measure Theory
Video Measure and Integration
Video Functional Analysis
Video Complex Analysis
Video Advanced Complex Analysis - Part 1
Video Advanced Complex Analysis - Part 2
Video A Basic Course in Number Theory
Video Numerical Analysis
Video Elementary Numerical Analysis
Video Numerical Analysis and Computer Programing
Video Numerical Methods
Video Numerical Methods and Computation
Video Numerical Methods: Finite Difference Approach
Video Linear Programming and Extensions

Stanford on YouTube
Video Mathematics: Making the Invisible Visible
Video/text EE 261 - The Fourier Transform and Its Applications
Video/text EE 263 - Introduction to Linear Dynamical Systems

Gresham College Public Lectures
Video Maths is Everywhere
Video Great Mathematicians, Great Mathematics
Video Shaping Modern Mathematics
Video Applying Modern Mathematics
Video Mathematics and the Making of the Modern and Future World
Video Computing Mathematics

Cornell MAE on YouTube
Video MAE 5790: Nonlinear Dynamics and Chaos

Steven Strogatz on YouTube
Video Asymptotics and Perturbation Methods

Steven Wise on YouTube
Video Math 515 - Essential Perturbation Theory and Asymptotic Analysis

Hochschule Ravensburg-Weingarten on YouTube
Video/text Advanced Mathematics for Engineers I
Video/text Advanced Mathematics for Engineers II

Video/text Statistics 250 - Introduction to Statistics and Data Analysis
Video/text Math 679 - Elliptic Curves

UCLA Courses on YouTube
Audio/video Mathematics 3C - Probability for Life Science (Fall 2008)
Audio/video Mathematics 31A - Differential and integral Calculus

NC State University Mathematics Department
Video MA 103 - Topics in Contemporary Mathematics
Video MA 105 - Mathematics of Finance
Video MA 107 - Precalculus I
Video MA 114 - Introduction to Finite Mathematics with Applications
Video MA 121 - Elements of Calculus
Video MA 131 - Calculus for Life and Management Sciences A
Video MA 141 - Analytic Geometry and Calculus I
Video MA 241 - Analytic Geometry and Calculus II
Video MA 242 - Analytic Geometry and Calculus III
Video MA 341 - Applied Differential Equations I

ArsDigita University Curriculum
Video/text Discrete Mathematics
Video/text Applied Probability

Stony Brook University - Department of Computer Science
Audio/video Skiena's CSE 547 Discrete Mathematics Lectures
Audio/video Skiena's Algorithms Lectures

Mathematical Sciences Research Institute (MSRI)
Video Introductory Workshop: Algebraic Topology
Video/text Introductory Workshop: Mathematical Relativity
Video/text Combinatorial Commutative Algebra and Applications
Video/text Cluster Algebras in Combinatorics, Algebra, and Geometry
Video/text Statistical Mechanics and Conformal Invariance
Video/text Introductory Workshop on Quantitative Geometry
Video/text Introductory Workshop: Free Boundary Problems, Theory and Applications
Video/text Random Matrix Theory and its Applications I
Video/text Random Matrix Theory and its Applications II
Video/text Introductory Workshop on Inverse Problems and Applications
Video/text Algebraic, Geometric, and Combinatorial Methods for Optimization
Video/text Introductory Workshop: Homology Theories of Knots and Links
Video/text Introduction to Ergodic Theory and Additive Combinatorics
Video/text Topology of Stratified Spaces
Video/text Introductory Workshop on Analysis on Singular Spaces
Video/text Algebraic Statistics
Video Introductory Workshop: Tropical Geometry
Video Stochastic Dynamical Systems and Control
Video Advances in Algebra and Geometry
Video Mathematical Issues in Stochastic Approaches for Multiscale Modeling
Video Mathematics of Markov Chain Monte Carlo

Institute for Mathematics and its Applications (IMA), located at University of Minnesota
Video IMA Video Library

This provides video lectures from IMA programs such as IMA annual program workshops, IMA summer programs, IMA seminars and public lectures. The lectures contained are mainly about the applications of mathematics to scientific and technological problems from other disciplines and industry: complex fluids and complex flows, mathematics and chemistry, mathematics of molecular and cell biology, mathematical modeling in medicine, sports, and the environment, multi-manifold data modeling and applications, scientific challenges in solar energy and storge, and many more.

Video Files Available | Duke University Mathematics Department

This contains video recordings of lectures and seminars related to mathematics such as applied mathematics, geometry, and topology.

School of Mathematics | Video Lectures, Institute for Advanced Study

This contains many video lectures on mathematics, especially lectures related to computer science and discrete mathematics.

Frederic Schuller on YouTube
Video Geometric Anatomy of Theoretical Physics

Isaac Newton Institute for Mathematical Sciences
Video/text Newton Institute Seminars Online

This contains lots of video recordings of lectures and seminars held at the institute, about mathematics and the mathematical sciences with applications over a wide range of science and technology: Stochastic Processes in Communication Sciences, Stochastic Partial Differential Equations, Dynamics of Discs and Planets, Non-Abelian Fundamental Groups in Arithmetic Geometry, Discrete Integrable Systems, Algebraic Lie Theory, Statistical Theory and Methods for Complex, High Dimensional Data, and more.