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Number Theory - Period 1+2
Social Sciences & Humanities Program
Amsterdam, Netherlands
Dates: mid Aug 2025 - late Dec 2025
Number Theory - Period 1+2
OVERVIEW
CEA CAPA Partner Institution: Vrije Universiteit Amsterdam
Location: Amsterdam, Netherlands
Primary Subject Area: Mathematics
Instruction in: English
Course Code: X_400632
Transcript Source: Partner Institution
Course Details: Level 400
Recommended Semester Credits: 3
Contact Hours: 84
DESCRIPTION
The following subjects will be treated:
- integers, primes, prime distribution
- congruences, primitive roots
- primality tests, factorization
- public key cryptography
- quadratic reciprocity
- Diophantine equations, abc-conjecture
- algebraic numbers, algebraic integers
- continued fractions
Next to a theoretical approach, practical/algorithmic aspects will also
be covered. The mathematics software system "SageMath" will be used to
illustrate some explicit number theoretic calculations.
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.
- integers, primes, prime distribution
- congruences, primitive roots
- primality tests, factorization
- public key cryptography
- quadratic reciprocity
- Diophantine equations, abc-conjecture
- algebraic numbers, algebraic integers
- continued fractions
Next to a theoretical approach, practical/algorithmic aspects will also
be covered. The mathematics software system "SageMath" will be used to
illustrate some explicit number theoretic calculations.
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.