Khaemenes Higher Learning

Topology & Differential Geometry Course Completion Record

This record documents completion of a rigorous 36-week, 180-session advanced course in rigorous topology, manifolds, differential geometry, global invariants, research writing, peer review, and an independent geometric theorem defense.

Required evidence

92 lessons · 13 mastery checks · 13 investigations · 60-question midterm · 100-question final · portfolio · research capstone · oral defense

This is a curriculum completion record, not an accredited degree or independent guarantee of transfer or graduate credit. Receiving institutions make their own decisions.

Faculty or evaluator signature

Jennifer Pearl · Curriculum Author · 2026