I’m preparing an extended-essay draft that delves into Fourier transforms and their graphical interpretations. The core idea is in place, yet the argument feels underdeveloped and a few derivations may not be airtight. I’d like a fresh mathematical eye to tighten the logic, verify every step, and reorganise sections so the narrative flows naturally. An IBDP experience would be a good fit for this project. Here’s what I need: • A line-by-line check of the calculations and proofs to guarantee mathematical accuracy. • Concrete suggestions for improving clarity and structure—if a subsection can be reordered or an illustrative graph would help, spell it out. • Inline comments (or tracked changes) on my current document plus a short, revised outline showing the new proposed structure. Turnaround within a week would keep me on schedule, but let me know if you need a little more time. Once your revisions land, I’ll integrate the feedback and run a final pass, so precision is more valuable than speed. If this sounds like the sort of mathematical polishing you enjoy, I’m eager to share the draft and start refining it together.