Mathematical Analysis of Present Status and Challenges of Higher Education in Nepal

Higher education in Nepal has expanded rapidly, yet persistent challenges remain in educational quality, financing, research capacity, geographical equity, governance, infrastructure, and student progression. This study examined the sector’s status and challenges through a mathematical and comparative analysis of publicly reported national data and seven selected universities: Tribhuvan University (TU), Purbanchal University, Pokhara University, Kathmandu University, Far Western University, Mid-West University, and Rajarshi Janak University. The analysis employed ratios, shares, concentration measures, growth calculations, gender-distribution measures, and normalized indicators; a composite challenge-index methodology was also proposed. The University Grants Commission’s 2023/24 higher education management information report recorded 633,053 students across 1,432 campuses within 16 universities and seven medical academies. TU accounted for 491,299 students (77.61%), indicating substantial enrollment concentration. Female enrollment exceeded male enrollment in all selected universities except Pokhara University and Kathmandu University. The analysis highlights the challenge of translating institutional expansion into equitable access, high-quality learning, timely completion, productive research, and graduate employability. The study contributes a mathematical framework for jointly assessing access, equity, capacity, quality, research, and governance. It concludes that differentiated policies are needed, including large-scale reforms at TU, stronger quality assurance and research capacity at established universities, targeted capacity building at emerging institutions, and improved data systems across the sector.