1st Year

An introductory course covering the core concepts of limit, continuity and differentiability of functions involving one or more variables. This also includes the application of differential calculations in solving problems on optimization, rates of changes, related rates, tangents and normals, and approximations, partial differentiation and transcendental curve tracing.

In alignment with the SDGs, the course emphasizes the role of differential  calculus in modeling and solving problems related to sustainable infrastructure, resource efficiency, environmental assessment, and energy systems. Through contextualized examples and applications, students gain appreciation of how mathematical tools support evidence-based decision-making and quantitative analysis essential to achieving SDG 4 (Quality Education), SDG 9 (Industry, Innovation, and Infrastructure), and SDG 11 (Sustainable Cities and Communities).