Courses offered in English
Affine and Projective Geometry


Chapter 1: Linear Algebra

  • Vector spaces and subspaces
  • Linear maps
  • Eigenvectors. Diagonalization

Chapter 2: Affine and Euclidean Geometry

  • Affine spaces and affine maps
  • Euclidean space. Isometries

Chapter 3: Conics and Quadrics

  • Introduction to the projective space
  • Classification of conics
  • Pencil of conics
  • Classification of quadrics


  • Anton, H, Rorres, C., Elementary linear algebra. John Wiley & Sons, 2010.
  • Castellet, M., Llerena, I., Álgebra lineal y Geometría, Ed. Reverté, 2009.
  • Lay, D.C. , Linear Algebra and Its Applications. Third Edition Update. Addison Wesley, 2006.
  • Pinilla, J.L., Cónicas, cuádricas, curvas y superficies. Varicop, 1970.
  • Pottmann, H., et al., Architectural geometry. Bentley Institute Press, 2007.
  • de la Villa, A., et al. Problemas de Álgebra con esquemas teóricos, Ed. CLAGSA, 1994.

Class material at the web page: Sonia L. Rueda