He invented infinitesimal calculus independently of Newton, and his notation is the one in general use since then. He also invented the binary system, foundation of virtually all modern computer architectures.

He was, along with RenĂ© Descartes and Baruch Spinoza, one of the three greatest 17th-century rationalists philosophers. Leibniz also made major contributions to physics and technology, and anticipated notions that surfaced much later in biology, medicine, geology, probability theory, psychology, linguistics, and information science.

- Wikipedia

**Lesson Plan Information**

**Title:**The Cylinder Problem

**Objectives:**Write the volumes of the cylinders as a function of radius and, using derivatives, find the cylinder with the greatest volume, given a fixed perimeter.

**Concepts:**Cylinder, dimension, area, circumference, height, lateral surface area, volume.

**Grade Level:**11-12

**Subject:**Mathematics / Calculus

**Materials:**8 1/2" by 11" sheets of paper, tape, ruler, graph paper, fill material.

**Time Needed:**Two 50-minute class periods

**Provided by:**The Math Forum

**Link:**http://mathforum.org/brap/wrap2/calclesson.html

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