Curves and surfaces

Lecturer: Kirsi Peltonen
Teaching assistant: Armando W. Gutiérrez

Content:

• Curves in the plane and space
• Curvature and torsion of a curve
• Global theory of curves
• Surfaces in the Euclidean space
• First and second fundamental form
• Curvature of a surface
• Gauss-Bonnet theorem for surfaces

Study material:

• Pressley, A.N. Elementary differential geometry. Springer Undergraduate Mathematics Series, 2010
• Peltonen, K. Lecture notes