HU Credits:
4
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Dr Alex Gurevich
Coordinator Office Hours:
by appointment
Teaching Staff:
Dr. Alex Gourevich
Course/Module description:
Elementary topics in Number Theory
Course/Module aims:
Acquaint the students with basic topics in number theory
Learning outcomes - On successful completion of this module, students should be able to:
Solve problems in number theory
Attendance requirements(%):
No
Teaching arrangement and method of instruction:
Lecture
Course/Module Content:
- Integers
- Primes and factorization
- Linear Diophantine equations
- Congruences
- Numbers in other bases
- Decimals
- Fermat's, Wilson's and Euler's theorems
- Multiplicative functions
- Perfect numbers
- Primitive roots
- Quadratic reciprocity
- Pythagorean triple
- Infinite descent and Fermat's Last theorem
- Sums of squares
- Counting of primes
- Approximations and Farey sequences
- Continued fractions and Pell’s equation
- Rings of integers in quadratic extensions
- Introduction into modern number theory
Required Reading:
Underwood Dudley: Elementary Number Theory
Additional Reading Material:
No
Course/Module evaluation:
End of year written/oral examination 90 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 10 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
No
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