Science - Course - Differential geometry

Vectors in Euclidean space, basic rules of vector calculus in Euclidean spaces,theory of curves: arc length, tangent and normal plane, osculating plane, principal normal, curvature, binomial, moving trihedron of a curve, torsion, formulas of Frenet, evolutes and involutes, cylindrical helices, curvature and torsion of involutes and evolutes, surfaces : curves on surfaces, tangent and normal planes, family of surfaces, envelope, edge of regression, Gaussian and mean curvatures, lines and curvature .

Pre-requisite:MATH 241