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Learn Differential Equations online: university courses, full YouTube courses, and courses with free certificates, from the IITs, MIT, Harvard, Google, Microsoft and more.
Lectures, recitations, and demonstrations covering topics related to 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 engineer…
The Hong Kong University of Science and Technology
This course is all about differential equations and covers both theory and applications. In the first five weeks, students will learn about ordinary differential equations, while the sixth week is an introduction to partial differential equations. The course includes 56 concise lecture videos, with…
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…
Harvard University
Apply tools of single-variable calculus to create and analyze mathematical models used by real practitioners in social, life, and physical sciences.
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…
View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang, Cleve Moler Gilbert Strang and Cleve Moler provide an overview to their in-depth video series about differential equations and the MATLAB® ODE suite. License: Creative Commons BY-NC-SA More information at http://…
Alison
Explore the Runge-Kutta Method (RK4) to find numerical solutions for ordinary differential equations (ODEs). Using MATLAB and Python, we'll show how to implement RK4 from the basics. We'll use the Lotka-Volterra model (Predator-Prey) to illustrate, applying RK4 in both languages to simulate and sol…
Johns Hopkins University
As rates of change, derivatives give us information about the shape of a graph. In this course, we will apply the derivative to find linear approximations for single-variable and multi-variable functions. This gives us a straightforward way to estimate functions that may be complicated or difficult…
This course gives an introduction to Complex Variables, Ordinary Differential Equations and Linear Algebra. View the complete course at: http://ocw.mit.edu/RES18-008 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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…
Udacity
Write Python code to find numerical solutions to systems of differential equations. The models you create will fight wildfires, bring spaceships back to earth, and more!
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
This course continues your study of calculus by focusing on the applications of integration to vector valued functions, or vector fields. These are functions that assign vectors to points in space, allowing us to develop advanced theories to then apply to real-world problems. We define line integra…
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…
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…
Ludwig-Maximilians-Universität München (LMU)
Interested in learning how to solve partial differential equations with numerical methods and how to turn them into python codes? This course provides you with a basic introduction how to apply methods like the finite-difference method, the pseudospectral method, the linear and spectral element met…
MIT OpenCourseWare
This course focuses on the use of modern computational and mathematical techniques in chemical engineering. Starting from a discussion of linear systems as the basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equation…
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.
Korea Advanced Institute of Science and Technology(KAIST)
This introductory courses on (Ordinary) Differential Equations are mainly for the people, who need differential equations mostly for the practical use in their own fields. So we try to provide basic terminologies, concepts, and methods of solving various types of differential equations as well as a…
