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This course explores the work of Eudoxus and Archimedes, focusing on their contributions to calculus, including formulas related to volumes and surface areas. Students will learn about Archimedes' work on parabolic arcs, Heron's formula, hydrostatics, and the Principle of the Lever. The teaching method involves discussing foundational mathematical concepts and historical developments. This course is intended for individuals interested in ancient mathematics, calculus, and the history of mathematics.