"Science in the 21st century focuses on multiscale challenges, such as those arising from materials science, geoscience, life sciences, and social sciences, with the guidance of data-driven models, and interrogating these systems via large-scale computation. However, as information technologies continue to improve, we expect to see more advances in most fields of mathematics. As a result, the content of this course is determined by department members and then approved by the department council. The content of this course depends on current state to follow recent developments in a certain field of mathematics, such as recent advances in topics from real Analysis, probability theory, combinatorics, number theory and sets, logic, geometry, graph theory, integral equations, stochastic processes, functional analysis, etc."