Mathematical Methods

Syllabus (PDF, Spanish)
This course corresponds to the propaedeutic part of the MSc Physics Program at the Institute of Physics (IFUAP), and it provides the main concepts and aplications of the most fundamental and widely used mathematical tools applied on several fields of Physics.
Below you'll find the lecture notes (in Spanish), assignments of each theme/topic covered in the course, as well as exams for the specified group of topics.

Lecture Notes*

  • 01. Vectorial Analysis (PDF)
  • 02. Linear Algebra (PDF)
  • 03. Infinite Series (PDF)
  • 04. Differential Equations (PDF)
  • 05. Complex Variable (PDF)
  • 06. Special Functions (PDF)
    • (subtopics: 01 to 02)
  • *Spanish.

Assignments

  • 01. Vectorial Analysis (PDF)
  • 02. Linear Algebra (PDF)
  • 03. Infinite Series (PDF)
  • 04. Differential Equations (PDF)
  • 05. Complex Variable (PDF)

Exams

  • 00. Diagnostic Exam (PDF)
  • 01. Exam for themes 01 & 02 (PDF)
  • 02. Exam for themes 03 & 04 (PDF)
  • 03. Exam for themes 05 & 06 (PDF)

Textbooks

  • 01. G.B. Arfken, H.J. Weber, & F.E. Harris, Mathematical Methods for Physicists , 7th. edition (Academic Press, Elsevier 2012).
  • 02. T.L. Chow, Mathematical Methods for Physicists: A concise introduction, 1st. edition (Cambridge University Press, 2003).
  • 03. J.W. Brown & R.V. Churchill, Complex Variables and Applications, 7th. edition (McGrawHil Publishing Company, 2004).