Lectures related to Asymptotic expansion

Von Neumann Extractor: Extensions

Covers the von Neumann Extractor and its extensions, aiming to derive and analyze an optimal extractor.

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Laplace's Method: Exercises

Covers exercises related to Laplace's method and complex analysis.

Limit Calculations Applications MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Demonstrates efficient limit calculations using Taylor expansions and basic algebraic operations.

Developing Limited Functions MOOC: Warm-up for EPFL

Covers the concept of developing limited functions and includes physical examples.

Composition of Taylor Expansions

Covers the computation of Taylor expansions composition up to order 4.

Taylor Series: Cosine Function

Explains the Taylor series expansion of order 4 for the cosine function.

Solving the Quintic: Dominant Balance

Explores dominant balance analysis in solving the quintic polynomial, with a focus on non-dimensionalization and series expansions.

Effort Informed Roadmaps: Efficient Multiquery Planning with EIRM*

Introduces EIRM*, a planner that efficiently solves multiple planning problems by reusing information and managing graph size effectively.

Taylor Expansions: First Order MOOC: Introduction to optimization on smooth manifolds: first order methods

Explores Taylor expansions of first order in optimization on manifolds.

Gradient and Hessian of Pullback

Explores the connection between Riemannian and Euclidean gradients and Hessians at critical points.

Gamma Function and Stirling's Approximation: Mathematical Methods

Discusses the gamma function, its properties, and Stirling's approximation for large factorials, emphasizing their significance in mathematical methods for physics.

Developing Cosine Composition MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.

Shell Components in Meromorphic Parameter Spaces

Explores shell components in transcendental parameter planes and attracting cycles.

Functions of Class Cn: Theorem 2 MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Focuses on Theorem 2 for functions of class Cn and their Taylor expansion around a.

Energy Efficiency in Buildings

Explores optimizing energy use in buildings through solar panels and solving nonlinear equations efficiently.

Linear Recurrence Relations

Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.

Taylor Series: Derivatives and Integrals

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Functions Extension and Taylor Expansion Log in to Mediaspace to watch this video

Covers functions extension and Taylor expansion, exploring mathematical concepts in depth.

Solving the Quintic: Dominant Balance Analysis Log in to Mediaspace to watch this video

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.