This document summarizes research on the production and application of biodiesel. It discusses the history of biodiesel dating back to 1893 when diesel first used peanut oil. Methods of biodiesel production discussed include transesterification using supercritical methanol, ultrasonication, and microwave techniques. Nano particles are also explored as an additive to reduce emissions when biodiesel is used in engines without modification. Biodiesel cultivation and harvesting techniques for plants like jatropha are also summarized.