Differential Equations Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Galois Theory and the Algebraicity of Solutions - Part I

Explore differential Galois theory and algebraicity of solutions in this advanced mathematics lecture, delving into singular differential equations.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

IMSA

General Concept of Periodicity for Any Time Scales

Explore a general concept of periodicity for any time scales with Jaqueline Mesquita, a renowned Brazilian mathematician specializing in differential equations, as she presents applications and insights in this mathematical field.

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

Institute for Advanced Study

Log-Noetherian Functions

Explore o-minimal structures R_LN and R_{LN,exp} with effective finiteness properties, covering period integrals for algebraic families through hyperbolic geometry and algebra.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Fields Institute

Sums of Squares and Applications to Hypoellipticity

Explore sums of squares in differential equations, focusing on hypoellipticity. Learn about key theorems, counterexamples, and applications in this advanced mathematics lecture.

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

Dr. Gajendra Purohit

Differential Equation

Comprehensive exploration of differential equations, covering first-order, higher-order, and partial differential equations, with various solution methods and applications in mathematical analysis.

• YouTube
• 23 hours
• Self-Paced
• Free Video

Gautam Varde

Euler Cauchy Equations - Numericals for Ordinary Differential Equations of Higher Order

Solve complex Euler Cauchy equations through step-by-step numerical examples, enhancing understanding of higher-order ordinary differential equations in mathematics.

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

Gautam Varde

Solution by Variation of Parameters - Higher Order Differential Equations

Learn to solve higher order differential equations using variation of parameters, with practical examples and numerical problems explained step-by-step.

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

Gautam Varde

Ordinary Differential Equations of Higher Orders - Problems and Examples

Solve complex mathematical challenges with step-by-step guidance on higher-order ordinary differential equations, enhancing problem-solving skills in advanced calculus.

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

Gautam Varde

How to Find Complementary Function of Higher Order Differential Equations

Learn to determine complementary functions for higher-order differential equations, enhancing your problem-solving skills in advanced mathematics.

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