This document provides an overview of the MathGeAr project, which aims to modernize mathematics curricula for engineering and science studies in South Caucasian universities. The project involves 14 partners across Europe, Georgia and Armenia. It will implement a comparative analysis of math syllabi, modernize selected curricula, introduce the Math-Bridge e-learning platform, and conduct a pilot evaluation of the new curricula. The 3 year project started in December 2013 and is funded by the European Commission's Tempus program with a budget of over 1 million euros. It involves 3 phases: best practices exchange, curricular reforms and capacity building, and implementation and evaluation.