Differential Equations Courses and Certifications

Dot Physics

Differential Equation with Boundary Conditions Using Finite Difference in Python

Solve differential equations with boundary conditions using Python's NumPy and finite difference method. Master numerical techniques for complex mathematical problems.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Prof. Ryan C. Cooper

ME3255 - Define and Integrate Differential Equations

Define and integrate differential equations, exploring key concepts and techniques for solving various types of equations in mechanical engineering applications.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Excellence Academy

First Order Differential Equations - Variable Separable Method - Lecture 4

Master solving differential equations using the variable separable method, enhancing your problem-solving skills in calculus and mathematical analysis.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Excellence Academy

First Order Differential Equations - Direct Integration Method

Master solving differential equations through direct integration, enhancing your mathematical problem-solving skills.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Excellence Academy

Differential Equations Introduction - Differential Calculus Basics

Explore the fundamentals of differential equations and their applications in calculus, enhancing your mathematical problem-solving skills.

• YouTube
• 19 minutes
• On-Demand
• Free Video

Dot Physics

Comparing Trigonometric and Exponential Solutions to the Simple Harmonic Oscillator

Explore different solution methods for the simple harmonic oscillator equation, comparing trigonometric and exponential approaches and deriving constants using initial conditions.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Towards a Kontsevich-Zagier Type Conjecture for Holonomic Series

Delve into advanced mathematical concepts exploring holonomic series and their relationship to the Kontsevich-Zagier conjecture through rigorous theoretical analysis.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

First Order Differential Equations in Characteristic Zero and Characteristic p

Explore advanced mathematical concepts of first-order differential equations across characteristic zero and characteristic p, with insights from leading mathematician Marius van der Put.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Higher Dimensional Katz Theory

Explore advanced mathematical concepts in higher dimensional Katz theory through rigorous analysis and theoretical frameworks within singular differential equations.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

G-Functions of Differential Order 2

Delve into advanced mathematical concepts exploring G-functions of differential order 2, focusing on algebraicity and transcendence properties in singular differential equations.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Galois Theory and the Algebraicity of Solutions - Part 3

Delve into advanced concepts of Differential Galois Theory, exploring algebraicity of solutions and their applications in singular differential equations with mathematician Michael Singer.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Equations, Geometry and Arithmetic - Lecture 3

Delve into advanced mathematical concepts exploring the intricate relationships between differential equations, geometry, and arithmetic through expert analysis and theoretical frameworks.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Excellence Academy

Solving Differential Equations Using the Variable Separation Method

Master the variable separation method for solving first-order differential equations through a clear, step-by-step demonstration of this fundamental mathematical technique.

• YouTube
• 14 minutes
• On-Demand
• Free Video

SCI MUNI

On Uniqueness of Submaximally Symmetric Vector ODEs of C-Class

Delve into the mathematical analysis of submaximally symmetric vector ODEs of C-class, exploring uniqueness properties and theoretical foundations.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Math with Professor V

Differential Equations: Orthogonal Trajectories - Section 3.1

Master the concept of orthogonal trajectories through practical examples and learn to solve both separable and linear differential equations to find perpendicular curve families.

• YouTube
• 23 minutes
• On-Demand
• Free Video