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Orthogonal Polynomials in Mathematical

Track :

Mathematics

Lessons no : 37

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What will you learn in this course?
  • Master orthogonal polynomial properties, including orthogonality, recurrence relations, and weight functions for mathematical applications
  • Apply orthogonal polynomials to solve differential equations and approximation problems in engineering and physics
  • Utilize computational methods to generate and analyze orthogonal polynomial sequences efficiently
  • Implement orthogonal polynomial techniques in numerical integration and quadrature for accurate calculations
  • Analyze the role of orthogonal polynomials in signal processing, data analysis, and statistical modeling
  • Develop algorithms for generating orthogonal polynomials using recurrence relations and orthogonality conditions
  • Evaluate the application of Legendre, Chebyshev, Hermite, and Laguerre polynomials in scientific computations
  • Integrate orthogonal polynomial concepts into machine learning models for feature extraction and data fitting
  • Solve real-world problems involving spectral methods and polynomial approximation in computational mathematics
  • Design algorithms for orthogonal polynomial-based numerical methods in engineering simulations
  • Assess the impact of orthogonal polynomials in solving boundary value problems and spectral analysis
  • Apply orthogonal polynomial theory to optimize algorithms in computational physics and applied mathematics

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  • Watch at least 50% of Lesson Duration
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Lessons | 37


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Orthogonal Polynomials course, in this course we will learn about Orthogonal Polynomials, their properties, applications in various fields, and computational methods.