The 2006 Applied Mathematics Summer Workshop was held on the campus of Delaware State University on July 31, August 1-2, 2006. It is the third of a series of annual events organised by the Applied Mathematics Research Center of Delaware State University, funded by the Department of Defense. The 2006 Workshop brought together over seventy mathematicians, scientists and graduate students from the United States and abroad. The program includes invited lectures by distinguished speakers and contributed paper sessions. The goal of the workshop is to promote DoD's applied mathematics research interests among the faculty and students from Historically Black Colleges/Universities and Minority Institutions (HBCU/MIs). During the workshop attendees also networked, communicated, and exchanged ideas and information on interdisciplinary applied mathematics research topics. They also discussed the trends and prospects of future.