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Fundamentals of Informatics

Persone

Sharygina N.

Docente titolare del corso

Britikov K.

Assistente

Buckley A.

Assistente

Descrizione

COURSE OBJECTIVES

The goal of the course is to acquire/refresh basic knowledge on the mathematical basis of Informatics, such as Logic and Discrete Mathematics, as well as of the important notions and concepts of Algorithmics, Computability, and Complexity theory.

 

COURSE DESCRIPTION

The course gives an introduction into the main theoretical topics in Computer Science.

  • Mathematical Basis
  • Propositional Logic
  • Discrete Mathematics
  • Algorithmics
  • Asymptotic Runtime Analysis
  • Divide-and-Conquer
  • Finite Automata
  • Computability
  • Turing-Machines and Church Thesis
  • Undecidable Problems
  • Complexity
  • P, NP, NP-Complete Complexity classes

LEARNING METHODS

The course will contain lectures and practical sessions.

 

EXAMINATION INFORMATION
There will be a written final examination

 

REFERENCES

  • D. Velleman, How to Prove It: A Structured Approach (2nd Ed), Cambridge University Press 1994, 2006 (Required)
  • Michael Sipser, Introduction to the Theory of Computation; MIT Press, Cambridge, USA, second edition, 2006 (Required)
  • Thomas H. Cormen, Clifford Stein, Charles E. Leiserson, Robert L. Rivest. "Introduction to Algorithms". MIT Press, Cambridge, USA, 3rd edition, 2009. (Recommended)

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