Course Description:

 The Mathematics Department has two PhD programs: Pure Mathematics and Applied Mathematics.

 PhD in Pure Mathematics

 The PhD in Pure Mathematics with a focus on Topology is a rigorous program designed to develop advanced research capabilities in the study of topological structures and their applications. Core modules include Continuum Theory, which explores properties of continuous functions and spaces; Algebraic Topology, covering homotopy theory, homology, and cohomotopy; Functional Analysis, focusing on linear operators on normed vector spaces; and Abstract Algebra, emphasizing groups, rings, and fields. Additionally, Research Methodology prepares students for conducting original research in mathematics, including literature review, research design, and thesis writing. Students will work closely with faculty members to develop a research thesis that contributes to the field of topology, preparing them for careers in academia, research institutions, or industries that apply mathematical techniques. Upon completion, graduates will be equipped to conduct independent research, apply advanced mathematical theories, and contribute to innovative solutions in various fields.

PhD in Applied Mathematics:

 The PhD in Applied Mathematics (Numerical Analysis) is a research-intensive program that trains students in advanced computational techniques and theoretical foundations for solving complex mathematical problems. The curriculum emphasizes Computational Methods for PDEs, differential equations, Functional Analysis, Partial Differential Equations, and Research Methodology, blending rigorous coursework with original research. Students develop expertise in designing and implementing numerical algorithms, applying functional analysis to prove convergence and stability, and conducting independent research aligned with industrial or academic challenges. Upon completion, graduates are prepared for roles in academia, national labs, or industries requiring advanced computational modelling, such as aerospace, finance, or biomedical engineering. The program culminates in a dissertation that contributes to the field of numerical analysis, equipping students to address complex problems in various disciplines.

Accreditation:

 This PhD program is accredited by the Ministry of Higher Education and Scientific Research in KRI per University decree No. 7/2/5675 on October 9, 2023.