Legendre Polynomials Courses and Certifications

NPTEL-NOC IITM

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

Explore Legendre polynomials, including Rodrigues formula, orthogonality, and normalization integral, to enhance your mathematical understanding.

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

Differential Equations Part II Series Solutions

12 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
• Paid Course

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: Solution - Lecture 71

Solve the Laplace equation in spherical coordinates, exploring methods and techniques for finding solutions to this fundamental partial differential equation.

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

NPTEL-NOC IITM

Introduction to Orthogonal Polynomials - Lecture 41

Explore orthogonal polynomials: definition, properties, examples, and mapping to standard intervals. Gain insights into this fundamental mathematical concept.

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

NPTEL-NOC IITM

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

Explore illustrative examples of the Laplace Equation in spherical coordinates, enhancing understanding of this fundamental concept in mathematical physics.

• YouTube
• 13 minutes
• 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

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

数学物理方程

Dive into 数学物理方程的核心概念，从波动方程到积分变换，掌握解决物理数学问题的关键方法和技术，包括行波法、分离变量法和勒让德多项式。

• XuetangX
• On-Demand
• Free Online Course

IIT Madras;  NPTEL

Differential Equations for Engineers

1 review

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

• Swayam
• 12 weeks
• Finished
• Free Online Course

Mathematical Modeling

Master advanced mathematical modeling techniques from power series to optimization, applying theoretical concepts to solve real-world problems across engineering, physics, and economics.

• Swayam
• 15 weeks
• Finished
• Free Online Course