Differential Equations Courses and Certifications

Math with Professor V

Calculus 2 Final Exam Review: Differential Equations, Parametric Curves and Polar Coordinates - Part 3

Master essential Calculus 2 concepts including separable and linear differential equations, parametric curves, polar coordinates, and conic sections through comprehensive exam preparation guidance.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

CppNow

Odeint - Solving Ordinary Differential Equations in C++

Explore odeint, a C++ library for solving ordinary differential equations. Learn about its generic design, container independence, and versatility in scientific and engineering applications.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Conference Talk

Fields Institute

Connections Between Geometry and Partial Differential Equations

Explore the fascinating interplay between geometric structures and partial differential equations, uncovering deep mathematical insights and applications.

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

Wolfram

Control Systems: An Overview - From Differential Equations to Controller Design and Deployment

Explore control systems, from differential equations to controller design and deployment, with streamlined workflows for effective system management and optimization.

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

Career Certificate

Mathematics for Engineers

7820 ratings at Coursera

Comprehensive engineering mathematics program covering matrix algebra, differential equations, vector calculus, and numerical methods, with MATLAB integration for practical problem-solving skills.

• Coursera
• 12 weeks, 10 hours/week
• Self-Paced
• Paid Course
• 5 courses

Stochastic Calculus and Stochastic Differential Equations - Lecture 25

Explore Itô's formula and stochastic differential equations, covering Black-Scholes derivation, geometric Brownian motion, and Ornstein-Uhlenbeck processes in finance.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Differentiating and Integrating Power Series - Ordinary Differential Equations - Lecture 22

Explore term-by-term differentiation and integration of power series, then delve into ordinary differential equations, their nature, and solution existence/uniqueness concepts.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5

Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Quantum Algorithms for Dynamics Simulation - Differential Equations - IPAM at UCLA

Explore quantum algorithms for simulating dynamics and solving differential equations, focusing on mathematical and computational challenges in quantum computing.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

IMSA

Linearized Instability for Neutral Functional Differential Equations with State-Dependent Delays

Lecture on linearized instability for neutral functional differential equations with state-dependent delays, presenting recent research findings in advanced mathematics.

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

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 4

Explore advanced concepts in partial differential equations, focusing on theory and numerical methods for solving complex mathematical problems in physics and engineering.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Geometric Structure on Complex Curves and Algebraic Differential Equations - A. Guillot

Explore geometric structures on complex curves and their connections to algebraic differential equations in this advanced mathematics lecture by A. Guillot.

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

Joint Mathematics Meetings

Structure Preservation in the Discretization of Partial Differential Equations

Explore structure preservation techniques in discretizing partial differential equations, enhancing numerical accuracy and stability in computational mathematics.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Singular Ordinary Differential Equations - Introduction to Mathematical Physics

Dive into the fundamentals of singular ordinary differential equations through comprehensive mathematical physics lectures designed for advanced students and early researchers.

• YouTube
• 2 hours 42 minutes
• Self-Paced
• Free Video

Math with Professor V

Solving Linear Differential Equations - Five Examples

Master solving linear differential equations through five practical examples demonstrating various integration techniques and problem-solving strategies.

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