MAT3244:Introduction to Classical Differential Geometry

Welcome to this Course MAT3244: Introduction to classical Differential Geometry.This course employs the principles of multivariable Calculus , both differential  and integral as well as Multilinear algebra, Analytic geometry and Differential equations to solve geometry problems related to curves and surfaces in Affine Euclidean spaces.This course is divided into two main parts. The first part  deals with  the differential geometry of smooth  curves in 2D and 3D  Affine Euclidean space  and the  second part is focused on the differential geometry of regular surfaces in 3D Affine Euclidean space.

Aims of the module:

• Define and Present a regular  curve in 2D and 3D space
• Find the length, curvature and torsion of a curve
• Establish Frenet-Serret equations for a curve
• Give the geometric interpretation of curvature and torsion
• Define and give examples of regular surfaces
• Determine the first and Second fundamental forms of a surface
• Explain the intrinsic geometry of a surface using first quadratic form
• Explain the extrinsic geometry of a surface using second quadratic form
• Calculate and give geometric interpretations of various curvatures on a surface
• Determine some class es of lines on surface

Facilitators:

1. Mr Theoneste Hakizimana , Tel :07888592204,e-mail: htheoneste2000@yahoo.fr

2.Mr Emmanuel Hagaburimana,Tel: 0788779986,e-mail: hagabura@gmail.com