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Foundations of informatics - a bridging course
Enrollment is Closed

This course shall smooth the entry into the b-it/RWTH study programme Media Informatics.
Enrollment is Closed

About This Course

Week 1 - Mathematical tools

This week will deal essentially with three subjects:

  • Linear Algebra (Gauß-Jordan-algorithm, expansion, dim ker A + dim im A = n, ...),
  • Probabilities (Definitions, conditional probabilities, random variables, expected runtime of a random exit loop, some applications, ...),
  • Integers modulo N (Definition, inversion and extended Euclidean algorithm, square and multiply, exponentiation, Theorem of Lagrange, of Euler and Fermat's little theorem, RSA correctness and efficiency, ...).

Week 2 - Analysis of Algorithms


  • foundations (first examples, asymptotic notation, solving recurrence equation)
  • sorting (QUICKSORT, sorting in linear time)
  • data structures (linked lists, binary search trees)
  • graph algorithms (elementary (breadth-first, depth-first), single-source shortest path)


  • Cormen, Leiserson, Rivest, and Stein, Introduction to Algorithms, 3rd edition, MIT Press, 2009.
  • Goldreich, Computational Complexity: A conceptual perspective, Cambridge University Press, 2008.
  • Knuth, TAOCP, Vol. 1 -- Fundamental Algorithms, 3rd edition, Addison-Wesley.


You are supposed to have learned a variety of basic skill during your bachelor studies.

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Enrollment is Closed