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Syllabus Elementary number theory for Odyssey program - 80697
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Last update 28-11-2018
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 Email: gurevich@ma.huji.ac.il

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
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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