Lecture

Solving the Quintic: Dominant Balance

Description

This lecture delves into the dominant balance analysis of solving the quintic polynomial, using a train company profitability example. By non-dimensionalizing the equation and performing series expansions, the instructor demonstrates the rigorous expansion method. The lecture concludes with a numerical evaluation of roots, comparing analytical and numerical results.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ym33t93p

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Ontological neighbourhood

Mathematics

Algebra: Equations, Polynomials

Analysis: Complex analysis, Numerical analysis

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