I was responsible for presenting compulsory mathematic courses named “Frontier Mathematical Sciences I/II/III.” These independent courses for the Leader’s Program are designed to cultivate the basic mathematic skills required for mathematic integration, as well as to encourage abstract thinking and the ability to view problems from a higher perspective. In the courses I and II, which are offered as part of the master’s program in late first year and early second year, students are able to learn new concepts and formulas not taught in undergraduate courses of materials science. We also provide explanations of the background, verification, and application of formulas while encouraging students to contemplate the meaning of conceptualization. Furthermore, group work is carried out whenever a problem cannot be solved by an intuitive answer. In course III, “active learning” is implemented. Program participants get to present their own research and join in discussions with other students and mathematics teaching staff. By familiarizing students with ideas from different fields, we intend to strengthen their professional capabilities and to raise the level of their perspectives.