Khaemenes Higher Learning

Real & Complex Analysis Course Completion Record

This record documents completion of a rigorous 36-week, 180-session advanced course in rigorous real-variable and complex analysis, including completeness, convergence, metric spaces, integration, measure, holomorphic functions, Cauchy theory, residues, conformal methods, and research exposition.

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