Higher Level Math for IPhO?

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SUMMARY

The International Physics Olympiad (IPhO) requires a solid foundation in mathematics, specifically basic calculus (differentiation and integration) and vector mathematics (addition, dot product, cross product). Advanced topics such as differential equations, vector calculus, and multivariable calculus are also essential for deriving complex results. Participants should utilize resources like the IPhO syllabus and past problems available online to enhance their preparation. Training can be conducted independently or with the guidance of a coach if part of a team.

PREREQUISITES
  • Basic calculus (differentiation and integration)
  • Vector mathematics (addition, dot product, cross product)
  • Differential equations
  • Vector calculus and multivariable calculus
NEXT STEPS
  • Review the IPhO syllabus available at ipho.org
  • Explore past IPhO problems and solutions at ipho.olimpicos.net
  • Study mathematical techniques through the problem-solving handouts on knzhou.github.io
  • Engage with a physics teacher or coach for personalized guidance and support
USEFUL FOR

Students preparing for the International Physics Olympiad, educators guiding students in physics, and anyone interested in enhancing their mathematical skills for competitive physics challenges.

WheatNeat
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What level of math is needed for IPhO? I know that basic knowledge of calculus (basic differentiation and integration) and vectors (addition, dot product, cross product, etc) is definitely required, even just to derive basic results. However I've heard that you need other stuff as well such as differential equations, vector calculus, multivariable calculus, etc. Are these actually necessary, or are they just gimmicky things that you can learn for IPhO but don't actually need?
 
Physics news on Phys.org
What is IPhO?
International Physics Organization?
 
WheatNeat said:
... or are they just gimmicky things ...
Gimmicky things?!
 
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Choppy said:
What is IPhO?
International Physics Organization?
International Physics Olympiad
 
WheatNeat said:
What level of math is needed for IPhO? I know that basic knowledge of calculus (basic differentiation and integration) and vectors (addition, dot product, cross product, etc) is definitely required, even just to derive basic results. However I've heard that you need other stuff as well such as differential equations, vector calculus, multivariable calculus, etc. Are these actually necessary, or are they just gimmicky things that you can learn for IPhO but don't actually need?
Are you training for IPhO on your own, or are you a member of a team? If a member of a team, is there a physics teacher who serves as a coach? If so, your coach should be the best resource to ask. So what is your situation?
 
CrysPhys said:
Are you training for IPhO on your own, or are you a member of a team? If a member of a team, is there a physics teacher who serves as a coach? If so, your coach should be the best resource to ask. So what is your situation?
I am training for the IPhO on my own.
 
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