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IAs topics brainstorm websites


kw0573

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Let's pool our knowledge together of where to find a good IA topic!

I only know some ones for math and group 4.
Math (suitable for most SL and HL students): https://www.youtube.com/user/MindYourDecisions, More advanced math (possibly beyond HL): https://www.youtube.com/channel/UC1_uAIS3r8Vu6JjXWvastJg (Mathologer), https://www.youtube.com/user/numberphile (focus on number theory, properties of numbers, series), https://www.youtube.com/user/Vihart (geometry-focused)

Physics: https://www.youtube.com/user/destinws2 (Smarter every day, suitable for modelling IAs), https://www.youtube.com/user/physicswoman (physics girl, most are too whacky or expensive to pull off), https://www.youtube.com/user/1veritasium (veritasium, variety physics), 

Computer Science https://www.youtube.com/user/Computerphile (theoretical)

Chemistry: https://www.youtube.com/channel/UCHTpNVrTqvVqzyXxaM5GtAg (koen2all, whacky, exothermic reactions)

 

 

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I'd like to add a few more links.

Science in general:  

Physics:

Chemistry:

Computer science:

Maths:

 

 

 

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A few resources of my own (all for maths):

  • Complex Numbers and Geometry, by Liang-Shin Hahn
    • Great introduction to the geometry of complex numbers, and completely accessible to a high school student (you don't even need calculus, just good algebra).  Lots of different ideas to do a math IA on here.  
  • Hypercomplex Numbers: An Elementary Introduction to Algebras
    • No, the book is not as complicated as the title makes it seem.  Very good introduction in my opinion to what a 'hypercomplex number' is, and why they were introduced.  Again, lots of different ideas to do a math IA on here.  
  • http://oeis.org/
    • Lots of different sequences to study, all of which can be good for an IA.  OEIS also has a wiki, which provides quite a lot of information too.  
  • http://math.stackexchange.com/
    • Good site overall for math queries in general.  Some of the unanswered questions are really good to explore (e.g. here, here and here)
  • http://www.csun.edu/~asethura/GIAAFILES/GIAAMain.html
    • What I really recommend reading are the "To the student" parts, which honestly were the most helpful part of the entire book.  They really spell out what researching maths is actually like, and can be quite helpful for the IA.  
  • http://tutorial.math.lamar.edu/
    • The Calculus III and differential equations sections are beyond HL syllabus (unless if you're doing the calculus option or Further), but other places can provide good starting points.  You can also do an IA on a new topic in there.  

As for IA ideas in general, here's a method I found helpful.  Starting with something that's covered in the syllabus already, you can proceed to ask some questions about it, and see where you can extend it.  For example, a simple question in calculus would be: is it possible to apply this to complex numbers?  As it turns out, yes - it's known as complex analysis (just an example).  

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