Applied mathematics: Cryptology (3 cr)

Evaluation scale

Pass/Fail

Objective

Course purpose
Cryptology is an alternative to the applied mathematics course in information and communication technology. In this course, you will focus your knowledge on the mathematics needed in information security and especially encryption methods.

Course competences
EUR-ACE Knowledge and understanding
• knowledge and understanding of mathematics needed in information and communication technology
• knowledge and understanding of engineering fundamentals underlying the specialisation, at a level necessary to achieve the other programme outcomes, including some awareness at their forefront
EUR-ACE Engineering Practice
• understanding of applicable techniques and methods of analysis, design and investigation and of their limitations in their field of study

Learning outcomes
You know and understand the mathematical principles of the most common encryption methods. You can solve simple linear congruences. You know how to choose the encryption method that suits the situation and you have the skills to deepen your knowledge independently.

Content

Properties of functions (surjection, injection, bijection), number theory (divisibility, prime numbers, congruence, modular arithmetic), random number generation, classical encryption methods, symmetric and asymmetric encryption, elliptic curves

Location and time

Lessons are between 21.10.2024 and 18.12.2024 in Dynamo, at the Lutakko campus.

Materials

Opettajan oppimisympäristössä jakama kirjallinen materiaali ja videomateriaali.

Teaching methods

Contact teaching 2+2 hours per week, including lectures and problem-solving sessions.
Assigned problem sets for submission.
Weekly tests in the learning environment.

Lecture videos available for independent study.

Exam schedules

Julkaistaan opintojakson alussa oppimisympäristössä.

Completion alternatives

Hyväksilukemisen menettelytavat kuvataan tutkintosäännössä ja opinto-oppaassa. Opintojakson opettaja antaa lisätietoa mahdollisista opintojakson erityiskäytänteistä.

Student workload

Luennot + laskuharjoitukset 24 h
Palautettavat laskuharjoitukset 2 x 9 h = 18 h
Viikkotestit 5 x 1 h = 5 h
Itsenäinen opiskelu ja tenttiin valmistautuminen 25 h
Tentti 3 h

Kuormitus on tasainen koko opintojakson ajan, yhteensä 81 h.

Assessment criteria, approved/failed

You know and understand the key mathematical concepts and calculation rules related to cryptology. You can solve simple linear congruences. You understand the mathematical principles of encryption methods and know the purposes of different encryption methods. After the course, you will be able to study more about the subject on your own.

Qualifications

You know the basics of set theory and combinatorics, you understand the concept of divisibility and congruence.

Further information

Opintojakso arvioidaan tentin, palautettavien laskuharjoitusten ja viikkotestien avulla. Suoritteet pisteytetään. Hyväksyttyyn suoritukseen vaaditaan vähintään puolet koko opintojakson maksimipistemäärästä ja vähintään kolmasosa kokeen maksimipistemäärästä.

Opintojakson kontakteilla on 80 % läsnäolovelvoite.