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Related lectures (10)
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Convergence Criteria: Polynomials Limits
Covers convergence criteria for polynomial limits and the theorem of the two gendarmes, emphasizing the importance of indeterminate forms.
Newton's Binomial Theorem
Explores Newton's Binomial Theorem, real positive non-integer exponents, and proof methods using contrapositive and absurd reasoning.
Numerical Analysis: Introduction to Interpolation Techniques
Covers the basics of numerical analysis, focusing on interpolation methods and their applications in engineering.
Graph Construction: Martingales & Polynomials
Explores the construction of graphs through martingales and polynomials, offering insights into solving eigenvalue problems with low probabilities.
Numerical Integration: Lagrange Interpolation, Simpson Rules
Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.
Orthogonal Polynomials in Physics
Covers important orthogonal polynomials in physics used to represent angular and radial dependencies in fields and quantum systems.
Polynomial Interpolation: Curve Fitting
Explores polynomial interpolation for curve fitting, error analysis, and the Runge's phenomenon.
Solving Cauchy Problems: Differential Equations and Solutions
Demonstrates the process of solving a Cauchy problem for a differential equation with specific initial conditions.
Interpolation by Intervals: Lagrange Interpolation
Covers Lagrange interpolation using intervals to find accurate polynomial approximations.
Polynomial Interpolation: Lagrange and Runge Phenomenon
Explores polynomial interpolation, Lagrange polynomials, and the challenges of interpolation methods.
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