Maths EE ideas library
Maths Extended Essay ideas: analysis and calculus
Series, limits, integrals and approximations: how infinite processes behave and how fast they converge.
Analysis and calculus ideas (10)
- Three proofs that Σ1/n² = π²/6Analysis & calculusAmbitious
- How fast do series for π converge?Analysis & calculusSolid
- How good is Stirling's approximation?Analysis & calculusAmbitious
- Trapezium rule vs Simpson's ruleAnalysis & calculusAccessible
- Where Newton's method sends youAnalysis & calculusSolid
- The fastest slide: why a cycloid?Analysis & calculusAmbitious
- Building a square wave from sinesAnalysis & calculusSolid
- Why do all the definitions of e agree?Analysis & calculusSolid
- Proving numbers are irrationalAnalysis & calculusAmbitious
- Curves and solids of constant widthAnalysis & calculusSolid
Frequently asked questions
Is analysis and calculus a good area for a maths EE?
It can be, if you narrow it to one question you can answer with mathematics you understand. Questions about convergence or error are ideal: they give you something to measure and compare, and a clear line of argument from method to result.
Can I use one of these research questions as it is?
Use it as a starting point. Change the case, the comparison or the limit until the question is your own, and agree it with your supervisor.
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