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Learn Calculus online: university courses, full YouTube courses, and courses with free certificates, from the IITs, MIT, Harvard, Google, Microsoft and more.
The Georgia Institute of Technology
This course provides an introduction to basic probability concepts. Our emphasis is on applications in science and engineering, with the goal of enhancing modeling and analysis skills for a variety of real-world problems.
MITx
Discover the derivative---what it is, how to compute it, and when to apply it in solving real world problems. Part 1 of 3.
Udacity
This course covers foundational topics in Calculus. You will learn the foundations of calculus and understand how to train a neural network: plotting, derivatives, the chain rule, and more. You will also see how these mathematical skills visually come to life with a neural network example.
MITx
We live in a multivariable world. Explore different types of integrals and learn how to apply them to solve real world problems. Part 2 of 3.
MITx
In order to understand most phenomena in the world, we need to understand not just single equations, but systems of differential equations. In this course, we start with 2x2 systems.
Johns Hopkins University
Calculus through Data & Modeling: Differentiation Rules continues the study of differentiable calculus by developing new rules for finding derivatives without having to use the limit definition directly. These differentiation rules will enable the calculation of rates of change with relative ease t…
A free course offering the core concept of Calculus, with a visuals-first approach aimed at making you feel like you could have discovered the subject yourself.
Imperial College London
This course offers a brief introduction to the multivariate calculus required to build many common machine learning techniques. We start at the very beginning with a refresher on the “rise over run” formulation of a slope, before converting this to the formal definition of the gradient of a functio…
MITx
Discover the integral - what it is and how to compute it. See how to use calculus to model real world phenomena. Part 2 of 3.
MIT OpenCourseWare
Learn Differential Equations: Up Close with _Gilbert Strang and_ Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy. About the Instructors Gilbert Strang is the MathWorks Professo…
Johns Hopkins University
This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning…
View the complete course: http://ocw.mit.edu/2-087F14 Instructor: Gilbert Strang Introduction to linear algebra and ordinary differential equations (ODEs), including general numerical approaches to solving systems of equations. License: Creative Commons BY-NC-SA More information at http://ocw.mit.e…
MIT OpenCourseWare
This course uses computer-aided design methodologies for synthesis of multivariable feedback control systems. Topics covered include: performance and robustness trade-offs; model-based compensators; Q-parameterization; ill-posed optimization problems; dynamic augmentation; linear-quadratic optimiza…
The Hong Kong University of Science and Technology
This course covers the most important numerical methods that an engineer should know, including root finding, matrix algebra, integration and interpolation, ordinary and partial differential equations. We learn how to use MATLAB to solve numerical problems, and access to MATLAB online and the MATLA…
Instructor: Herbert Gross This course is a study of the calculus of functions of several variables (vector arithmetic and vector calculus). View the complete course at: https://ocw.mit.edu/RES18-007F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at h…
MIT 18.S096 Matrix Calculus For Machine Learning And Beyond, IAP 2023 Instructors: Alan Edelman, Steven G. Johnson View the complete course: https://ocw.mit.edu/courses/18-s096-matrix-calculus-for-machine-learning-and-beyond-january-iap-2023/ View previous version of the course: https://ocw.mit.edu…
Johns Hopkins University
This first course on concepts of single variable calculus will introduce the notions of limits of a function to define the derivative of a function. In mathematics, the derivative measures the sensitivity to change of the function. For example, the derivative of the position of a moving object with…
MIT OpenCourseWare
This course provides a solid introduction to Partial Differential Equations for advanced undergraduate students. The focus is on linear second order uniformly elliptic and parabolic equations.
MIT OpenCourseWare
This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and Green’s functio…
