The program will expose students to rigorous mathematics proofs and provide an overview of several different central areas of mathematics, both pure and applied, building from simpler notions toward a glimpse of current research. In this program, students will be able to meet and learn from the world-class senior and junior mathematicians, and to study how to write rigorous proofs. The areas covered include pure mathematics like set theory, fractal geometry, probability, differential equations with applications to fluid dynamics and mathematical biology. Students will also get a chance to work in groups with mentors, to develop their mathematical abilities.