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ohh come, these are just standard topics. If a student does not know these, what the hell is he/she gonna do at college ?matt grime said:it would thus be beneficial for the incoming student to know

complex numbers, 2 and 3d real vectors, matrices, determinants of 2x2 and 3x3 matrices, dot and cross product, 2nd order differential equations, all their trig identities, integrals via substition etc, hyperbolic trig

How about adding the concepts linear algebra (base vectors, linear transformations, groups, ...)

This is a clear example of the high school level being quite low in the UK. Here in Belgium, your list would make an self respecting future physics student laugh, really, that is the truth. Like i have stated before, the educational high school level in Belgium is the highest in Europe and about nr 5 in the world after all Asian countries and Finland i believe. Look for proof at the PISA survey if you do not believe me

regards

marlon

ps for proof look at the 'math aptitude internationally tested' entry at

https://www.physicsforums.com/journal.php?s=&action=view&journalid=13790&perpage=10&page=9 [Broken]

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