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.
This course aims to familiarize students with creating scientific documents using LaTeX. By the course's conclusion, students will be able to develop a basic scientific document, understand document structuring (parts, chapters, sections, subsections), insert lists, figures, and tables, manipulate mathematical environments for formulas and equations, automatically generate tables of contents, lists of figures, and lists of tables, and manage and generate bibliographic reference lists.
This course aims to introduce students to the production of scientific documents. More particularly, to teach them how to work with Latex. At the end of this course, students will be able to:
- Develop a minimal scientific document using Latex.
- Understand the structuring of documents with Latex (Parts, chapters, sections, subsections).
- Insert lists, figures, and tables.
- Manipulate mathematical environments to produce formulas and equations.
- Automatically generate the table of contents, lists of figures, and lists of tables.
- Manage and Generate a list of bibliographic references automatically.