Mathematics BSc
Course description
2013.
Borromean Rings
Differential equations
Hours
lect+pc		 Credits
lect+pc		 Assessment Specialization Course code
lect/pc		 Semester Status
2 + 2 2 + 3 exam +
term grade		 pure math. mm1c1de5m
mm1c2de5m		 5 compulsory
applied math. mm1c1de5a
mm1c2de5a		 5 compulsory
Strong Weak Prerequisites
Practice class
Strong:
Analysis2L (mm1c1an2) or
Foundations of analysisL (mm1c1ap2)
Lecture
Weak:
practice class
Weak:
Analysis3L-a (mm1c1an3a) or
Analysis3L-p (mm1c1an3m)
Literature
  • M. Braun: Differential equations and their applications. Springer 1993.
Syllabus
  • Differential equations in physics, chemistry, biology and economics.
  • Existence and uniqueness of solutions.
  • Methods for solving differential equations.
  • Linear systems, the exponential of matrices.
  • Higher order linear equations.
  • Autonomous differential equations, dynamical systems.
  • Stability, Liapunov’s method.
  • Poincaré-Bendixson theory.
  • Stability of periodic orbits, the Poincaré map.
  • Discrete time dynamical systems.
  • Boundary value problems.
  • Elements of the calculus of variation.
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