MS-E1110 - Number Theory D, Lecture, 24.10.2022-30.11.2022

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Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

- The student understands the basic concepts of number theory and is able to perform modular arithmetics.

- The student understands the quadratic reciprocity law, one of the most important theorems in Number Theory.

- The student is familiar with some applications of Number Theory in Cryptography.

Credits: 5

Schedule: 24.10.2022 - 30.11.2022

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Camilla Hollanti

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

  • valid for whole curriculum period:

    integer factorization, primes, pseudo primes, modular arithmetics, squares and nonsquares in modular arithmetics, quadratic reciprocity, primititive roots, applications to cryptography.

Assessment Methods and Criteria

  • valid for whole curriculum period:

     Lectures, homework, project work.

Workload

  • valid for whole curriculum period:

    Lectures, exercises, homework, project work. 

     

DETAILS

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information

  • valid for whole curriculum period:

    Teaching Language : English

    Teaching Period : 2022-2023 Autumn II
    2023-2024 Autumn II

    Enrollment :

    Registration takes place in Sisu (sisu.aalto.fi).

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Aalto University Code of Academic Integrity and Handling Violations Thereof