Vector Spaces

Syllabus (PDF, Spanish)
This course corresponds to the Undergraduate Physics and Applied Physics Programs at the FCFM, and it provides specialized Lineal Algebra concepts, as well as their application in different Physics' subjects. In particular, the importance of topics like linear transformation and spaces is stressed and their use is reinforced.
Below you'll find the lecture notes (in Spanish) as well as assignments of each theme/topic covered in the course.

Lecture Notes*

  • 01. Vector Spaces (PDF)
  • 02. Lineal Operators (PDF)
  • 03. Inner Product, Orthogonality (PDF)
  • 04. Eingenvalues and Eingenvectors (PDF)
  • 05. Operators and Spaces (PDF)
  • *Spanish.

Assignments

  • 01. Vector Spaces (PDF)
  • 02. Lineal Operators (PDF)
  • 03. Inner Product, Ortogonality (PDF)
  • 04. Eingenvalues and Eingenvectors (PDF)
  • 05. Operators and Spaces (PDF)

Exams

  • 01. Exam for themes 01 & 02 (PDF)
  • 02. Exam for themes 03 & 04 (PDF)
  • 03. Exam for theme 05 (PDF)

Textbooks

  • 01. S. Lipschutz & M. Lipson, Linear Algebra , 4th. edition (McGraw-Hill, 2009).
  • 02. S. Lang, Linear Algebra, 3rd. edition (Springer-Verlag, New York, 1987).
  • 03. G.B. Arfken, H.J.Weber, & F.E. Harris, Mathematical Methods for Physics, 7nd. edition (Elsevier, 2013).
  • 04. K.F. Riley, M.P. Hobson, & S.J. Bence, Mathematical Methods for Physics and Engineering, 3rd. edition (Cambridge University Press, 2006).
  • 05. P. Dennery & A. Krzywicki, Mathematics for Phyisicists , 1st. edition (Dover Publications, New York, 1996).