Legendre Polynomials Courses and Certifications

Differential Equations Part II Series Solutions

10 ratings at Coursera

Learn advanced techniques for solving differential equations, including series solutions, Frobenius method, and special functions like Bessel and Legendre polynomials.

• Coursera
• 14 hours 21 minutes
• On-Demand
• Free Online Course (Audit)

IIT Madras;  NPTEL

Differential Equations for Engineers

Comprehensive exploration of differential equations and their applications in engineering, covering ODEs, PDEs, and solution methods for various physical phenomena.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Dr. Gajendra Purohit

Special Functions - Bessels and Legendre

Comprehensive exploration of Bessel's functions and Legendre polynomials, covering recurrence relations, proofs, and applications in partial differential equations.

• YouTube
• 3 hours 30 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Dr. Gajendra Purohit

Series Solution

Comprehensive exploration of series solutions for differential equations, covering Legendre polynomials, Frobenius method, Bessel's functions, and partial differential equations.

• YouTube
• 7 hours
• On-Demand
• Free Video

Orthogonality

Explora conjuntos ortogonales, proyecciones, desigualdad de Cauchy-Schwarz, proceso de Gram-Schmidt, descomposición QR, regresión lineal, espacios de producto interno, polinomios de Legendre y series de Fourier.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Gautam Varde

Legendre's Equation and Polynomials - Series Solutions of ODEs

Explore Legendre's equation, polynomials, and series solutions of ODEs through practical problem-solving and numerical examples.

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

NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Illustrative Examples - Lecture 72

Explora ejemplos ilustrativos de la ecuación de Laplace en coordenadas esféricas, profundizando en su aplicación y resolución en diversos contextos matemáticos y físicos.

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

NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Solution - Lecture 71

Explora la solución de la ecuación de Laplace en coordenadas esféricas, un tema fundamental en física matemática y análisis avanzado.

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

NPTEL-NOC IITM

Legendre Polynomials: Rodrigues Formula, Orthogonality, and Normalization Integral - Lecture 48

Explora los polinomios de Legendre: fórmula de Rodrigues, ortogonalidad e integral de normalización. Profundiza en estas importantes funciones matemáticas.

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

NPTEL-NOC IITM

Introduction to Orthogonal Polynomials - Lecture 41

Introducción a polinomios ortogonales: definición, propiedades, ejemplos y mapeo a intervalos estándar.

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