Differential Equations Courses and Certifications

Ordinary Differential Equations

3 ratings

This tutorial contains excerpts from Elizabeth Bradley's Nonlinear Dynamics course.

• Complexity Explorer
• 1 hour
• Self-Paced
• Free Online Course

Second-order differential equations

3 ratings at OpenLearn

This free course is concerned with second-order differential equations. Section 1 introduces some basic principles and terminology. Sections 2 and 3 give methods for finding the general solutions ...

• OpenLearn
• 16 hours
• Self-Paced
• Free Certificate

Differential Equations in Action

3 ratings at 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!

• Udacity
• 17 hours
• Self-Paced
• Free Online Course

Mastering Differential Equations: The Visual Method

52 ratings at The Great Courses Plus

Embark on an amazing mathematical journey in 24 intellectually stimulating and visually engaging half hour lectures.

• The Great Courses Plus
• 12 hours 33 minutes
• Self-Paced
• Free Trial Available

IISc Bangalore;  NPTEL

Advanced Course on Partial Differential Equations - II

Explore advanced topics in elliptic and evolution equations, including weak solutions, eigenvalues, regularity, and applications to parabolic, hyperbolic, and Schrödinger equations.

• Swayam
• 8 weeks
• Self-Paced
• Free Online Course

CEC;  Farook College

Differential Equations

Comprehensive study of differential equations, covering first-order and higher-order linear equations, boundary value problems, and applications. Develops mathematical reasoning and problem-solving skills essential for science and engineering.

• Swayam
• 15 weeks
• Self-Paced
• Free Online Course

IISc Bangalore;  NPTEL

First Course on Partial Differential Equations - I

Explore fundamental concepts of partial differential equations, including first-order equations, Laplace and Poisson equations, and 1D heat and wave equations. Ideal for mathematics, science, and engineering students.

• Swayam
• 8 weeks
• Self-Paced
• Free Online Course

Ordinary Differential Equations

Master fundamental concepts and practical applications of ordinary differential equations, from basic theory to advanced problem-solving using Matlab, with emphasis on real-world mathematical modeling and computational methods.

• XuetangX
• Self-Paced
• Free Online Course

IIT Kharagpur;  NPTEL

Partial Differential Equations (PDE) For Engineers: Solution By Separation Of Variables

Learn to solve partial differential equations using separation of variables, a robust technique for analytical solutions in engineering applications across various coordinate systems.

• Swayam
• 4 weeks, 2-3 hours a week
• Self-Paced
• Free Online Course

IIT Roorkee;  NPTEL

Ordinary and Partial Differential Equations and Applications

Comprehensive study of ordinary and partial differential equations, covering existence, uniqueness, linear systems, power series solutions, stability, boundary value problems, and applications in engineering and science.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

MathWorks

Solving Ordinary Differential Equations with MATLAB

Use MATLAB ODE solvers to numerically solve ordinary differential equations.

• MATLAB Academy
• 4 hours
• Self-Paced
• Paid Course

Comprehensive introduction to differential equations, covering first- and second-order equations, systems, and applications. Includes interactive lessons, problem sessions, and self-assessment tools for natural sciences and engineering.

• Wolfram U
• 12 hours
• Self-Paced
• Free Certificate

Professor Leonard

Existence and Uniqueness of Solutions - Differential Equations

Explore existence and uniqueness of differential equation solutions, covering key concepts like continuity, neighborhoods, and initial values. Learn to determine when solutions exist and are unique.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Professor Leonard

Differential Equations with Velocity and Acceleration

Explore the application of differential equations to velocity and acceleration problems, enhancing your understanding of motion and physics concepts.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Bernoulli's Equation for Differential Equations

Introduction to solving Bernoulli's equation in differential equations, covering standard form, integrating factors, and general solutions with examples and practice problems.

• YouTube
• 20 minutes
• Self-Paced
• Free Video