Mathematics is an indispensable primary tool for studying physics, engineering, computer science, and even social sciences. Therefore, mathematics is called the mother of science, and the progress of modern science and technology often depends on the development and application of mathematics. In the past, the design of courses in the Department of Mathematics focused on the theory of elementary mathematics. To enhance the teaching, research, and academic innovation of applied mathematics, the Department of Mathematics at NCU has recruited students for the division of mathematical sciences and the division of scientific computing and data sciences since the 2019 academic year. Division of Mathematical Sciences This division continues the spirit of the department's founding, providing students with rigorous mathematical training, cultivating the skills of logical reasoning, analysis and thinking, and mastering the fundamental theories and methods of mathematical sciences. In addition to the eight major mathematical sub-fields of analysis, algebra, geometry, differential equations, probability, statistics, discrete mathematics, and scientific computing, students can also deepen and apply mathematical knowledge by taking thematic application courses offered by the other division. Division of Scientific Computing and Data Sciences This division focuses on four areas that can deepen the application of mathematics: scientific computing, image processing, data science, and financial mathematics. Mathematics majors have mathematical logic reasoning, analytical training, and computation and coding skills; thus are very suitable for work in emerging fields such as data analytics, computing science, and financial technology. They can play an essential role in the development of the industries mentioned above. Today is an era that focuses on interdisciplinary integration, and the development of various fields often requires rigorously trained mathematical talents. The department encourages students to study across areas. Students can choose double majors, minor, second professional specialty, or non-degree program in various fields. Those who are interested in entering the field of education can take secondary education program. We also provide a five-year study channel for students willing to continue their studies to complete bachelor's and master's degrees. Students interested in mathematics and mathematics-related research or application careers are welcome to join the department.