Waqas Ali Azhar

This course covers the fundamentals of Differential Geometry: Local and global geometry of curves and surfaces, Frenet frames, Total curvature, Minimal surfaces, Geodesics, Gaussian curvature, Differentiable manifolds, Tangent bundles, and Riemannian manifolds.

Upon successful completion, students will have the knowledge and skills to:

1. Explain the concepts and language of differential geometry and its role in modern mathematics.

2. Analyse and solve complex problems using appropriate techniques from differential geometry with mathematical rigour.

This is an IMM LUMS course which is jointly taught by 3 instructors.