Rewrite Academic Lecture Notes

I have a short set of lecture notes—around 500 words—that needs a clean academic rewrite. The original wording feels rough and a bit repetitive; I’d like it transformed into crisp, well-structured prose that retains every concept and citation I included but reads smoothly for students and faculty alike. Tone must stay formal-academic (no colloquialisms), references and any technical terminology must remain intact, and of course the result has to be entirely plagiarism-free.

Please deliver a single document (Word or Google Doc) showing the polished version; if you prefer to keep tracked changes available so I can see what you adjusted, that would be helpful but not mandatory. A quick turnaround is appreciated because the revised note feeds directly into next week’s lecture hand-out.