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Mathematics
Quick fact
The Taylor series of a function about a point is unique—if a function has a power series representation at that point, it must be the Taylor series, making it a foolproof way to construct polynomial approximations.
Why this is interesting
Projectile motions, planetary orbits, and smartphone algorithms all rely on approximating complicated functions with simple polynomials—how can a few derivative values unlock this magic?
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Subjects · study & training · careers
Choose something you are considering. FACTREE will give you a clear picture of what it contains, how its main parts connect and where it could lead.
This private catalogue connects 31 subjects, study routes and careers across six broad areas. Public Maps and learner routes remain off.
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Open a subject to see its complete shape at a glance. You can always return here and choose something else.
See what programming involves, how its main areas connect, and whether you find the knowledge interesting enough to take it further.
Structuring the Programming Map…
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Move from the one-screen overview into all 19 areas. Open any area, compare possible Paths and return to the overview whenever you want.
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Administrator
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Knowledge architecture
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Curriculum coverage
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