Compulsory

Mathematics III
2022 Course Programme

CODE
ΜΑΥ1204
SEMESTER
3
HOURS per WEEK
4
ECTS CREDITS
6
INSTRUCTORS

Kleomenis Tsiganis

Georgios Vougiatzis

  • Introduction and definitions for Ordinary Differential equations (ODEs)
  • ODEs of 1st order (separable, homogeneous, linear, exact, special cases). Applications and problems.
  • Second and higher order solvable ODEs and applications.
  • Linear ODEs. Solution of Linear ODEs with constant coefficients. Harmonic oscillations, oscillations with dumping or/and external periodic perturbations.
  • Systems of Linear ODEs. Solution of systems of two equations with constant coefficients.
  • An introduction to systems of nonlinear ODEs and phase space.
  • Linear Partial differential equations (PDEs) of 1st order.
  • Linear PDEs of higher order with constant coefficients.

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