University of Oxford Mathematician Dr Tom Crawford explains how to solve an optimisation problem used as a maths undergraduate admissions interview question.
"For a cylinder of fixed volume V=1, what aspect ratio between the radius and height gives the smallest surface area?"
This question was used by Tom for the Oxford admissions interviews in 2018.
Check your working using the Maple Calculator App - available for free on Google Play and the App Store.
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Try another Oxford admissions interview question from 2021 here: • Oxford University Admi...
And the solution is explained here: • Oxford University Admi...
Other videos in the Oxford Calculus series can be found here: • Oxford Calculus
Finding critical points for functions of several variables: • Oxford Calculus: Findi...
Classifying critical points using the method of the discriminant: • Oxford Calculus: Class...
Partial differentiation explained: • Oxford Calculus: Parti...
Second order linear differential equations: • Oxford Mathematics Ope...
Integrating factors explained: • Oxford Calculus: Integ...
Solving simple PDEs: • Oxford Calculus: Solvi...
Jacobians explained: • Oxford Calculus: Jacob...
Separation of variables integration technique explained: • Oxford Calculus: Separ...
Solving homogeneous first order differential equations: • Oxford Calculus: Solvi...
M.I.T. Integration Bee Question: • M.I.T. Integration Bee...
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Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: www.seh.ox.ac.uk/people/tom-c...
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