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Engineering Mathematics

Lecture 36: Lagrange multipliers: Extreme values of a function subject to a constraint

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Lecture Details :

I discuss and solve an example where the points on an ellipse are sought that maximize and minimize the function $f(x,y) := xy$. The method of solution involves an application of Lagrange multipliers. Such an example is seen in 1st and 2nd year university mathematics.

Course Description :

Topics covered will include important aspects of applied mathematics used in engineering, such as: multivariable calculus; vector calculus; differential equations; Laplace transforms; Fourier series.

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