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Differential geometry of surfaces course
M1
Abstract
Differential Geometry of Curves and Surfaces is a core module for 1st-year Master’s students that focus on the geometric study of curves and surfaces in Euclidean space. It covers key concepts like curvature, torsion, Frenet frames, fundamental forms, and geodesics, aiming to help students understand and apply geometric tools in both theoretical and practical contexts.
Class
1st Year master Students Partial differential equation, Functional analysis
Objectives
The main aim of this lesson is to develop the student's ability to understand, analyze, and apply the core concepts of differential geometry related to parametrized curves and surfaces in Euclidean space, with a focus on their geometric, analytical, and computational properties.
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