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Calculus courses

Learn Calculus online: university courses, full YouTube courses, and courses with free certificates, from the IITs, MIT, Harvard, Google, Microsoft and more.

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MITx

Calculus 1B: Integration

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
  • 15 weeks, 8 hours/week
  • Self-paced
  • Free course

Massachusetts Institute of Technology

MIT Calculus Revisited: Multivariable Calculus

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…

Video playlist
  • YouTube
  • 26 videos, 14 hours
  • Self-paced
  • Free video

Massachusetts Institute of Technology

MIT 18.S096 Matrix Calculus For Machine Learning And Beyond, IAP 2023

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…

Video playlist
  • YouTube
  • 17 videos, 14 hours
  • Self-paced
  • Free video

MIT OpenCourseWare

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

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…

  • MIT
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Multivariable Control Systems

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…

  • MIT
  • Self-paced
  • Free course
  • Advanced

Massachusetts Institute of Technology

MIT 18.085 Computational Science & Engineering I, Fall 2007

This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variatio…

Video playlist
  • YouTube
  • 32 videos, 35 hours
  • Self-paced
  • Free video

MIT OpenCourseWare

Introduction to Partial Differential Equations

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
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Linear Partial Differential Equations

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…

  • MIT
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Numerical Marine Hydrodynamics (13.024)

This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations. It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference method…

  • MIT
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Single Variable Calculus

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

  • MIT
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Calculus for Beginners and Artists

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

  • MIT
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Multivariable Calculus

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics. The materials have been organized to support independent study. Th…

  • MIT
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Differential Equations

The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engi…

  • MIT
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Computational Science and Engineering I

This course provides the fundamental computational toolbox for solving science and engineering problems. Topics include review of linear algebra, applications to networks, structures, estimation, finite difference and finite element solutions of differential equations, Laplace’s equation and potent…

  • MIT
  • Self-paced
  • Free course
  • Advanced

MIT OpenCourseWare

Multivariable Calculus with Theory

This course is a continuation of 18.014 Calculus with Theory. It covers the same material as 18.02 Multivariable Calculus, but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.

  • MIT
  • Self-paced
  • Free course
  • Advanced

Johns Hopkins University

Advanced Linear Models for Data Science 1: Least Squares

4.5192 ratings

Welcome to the Advanced Linear Models for Data Science Class 1: Least Squares. This class is an introduction to least squares from a linear algebraic and mathematical perspective. Before beginning the class make sure that you have the following: - A basic understanding of linear algebra and multiva…

  • Coursera
  • 6 weeks of study, 1-2 hours/week
  • Self-paced
  • Paid certificate

The London School of Economics and Political Science

Mathematics 1 Part 1: Differential Calculus

4.529 ratings

The first in a series of two courses from LSE which help you to master mathematics fundamentals and build your quantitative skillset for progression in high-growth careers, or to use as step towards further study at undergraduate level.

  • edX
  • 5 weeks, 11 - 14 hours per week
  • Self-paced
  • Free to audit
  • Paid certificate
  • Intermediate

MIT OpenCourseWare

Differential Equations

Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE’s) deal with functions of one variable, which can o…

  • MIT
  • Self-paced
  • Free course
  • Advanced