Mathematical models of security

• Osnovne operacija s cijelim brojevima
• Ishodi: 1
• Boolova algebra
• Ishodi: 1
• Indukcija i rekuzija
• Ishodi: 1,5
• Kriptografija i teorija brojeva
• Ishodi: 1 HASH funkcija
• Ishodi: 1
• Grafovi i
• Stabla
• Ishodi: 2
• Teorija podudaranja i
• Bojanja
• Ishodi: 2
• Formalni jezici
• Ishodi:1, 3
• Regularni skupovi i izrazi
• Ishodi: 3
• Automati
• Ishodi: 3
• Algoritmi za randomizaciju
• Ishodi: 4
• Algoritmi za validaciju programskog koda
• Ishod 4
• Vjerojatnost
• Ishodi: 4
• Logički iskazi i
• Dokazi
• Ishodi: 5
• Poopćavanje i generalizacija modela sigurnosti , ¸ Ishodi: 5, 6

1. 1. Apply discrete mathematical structures in the analysis of information security
2. 2. Apply algorithms of graph theory on forensics of social networks
3. 3. Understands and applies regular expressions to apply them in digital forensics
4. 4. Understand models for flow control information
5. 5. Apply logical models to proof of correctness of the program
6. 6. Organize mathematical information security models

Required reading

• Dujela, Diskretna matematika, skripta
  Haggard & all, Dicrete mathematics for Computer Science, Thompson, ISBN 0-534-49501-X
  Kenneth Rosen, Discrete mathematics and its Application, McGraw Hill, ISBN 978-0-07-338309-5
  Ćirić, Diskretna matematika OSNOVE KOMBINATORIKE I TEORIJE GRAFOVA, skripta 2007
  EC-Council Press,Computer Forensics: Investigating File and Operating Systems, Wireless Networks and Storage, EC-Council Press, 9781305883482, 2016
  S. Geetha,Combating Security Breaches and Criminal Activity in the Digital Sphere ,IGI Global,978-1522501930, 2016
  Dr. Philip Polstra,Windows Forensics,Pentester Academy, 2016