Number Theory (FA18)
Number Theory (FA18)
- Lectures: Monday, Wednesday, Friday, block 11 (11:30 a.m. - 12:35 p.m.)
- x-period: Tuesday, block 11X (12:15 - 1:05 p.m.)
- Dates: 12 September 2018 - 13 November 2018
- Room: 105 Kemeny Hall
- Instructor: John Voight
- Office: 341 Kemeny Hall
- E-mail: firstname.lastname@example.org
- Office hours: Monday 4:00-6:00 p.m. and Tuesday 9:00-10:00 a.m., or please make an appointment by email
- Course Web Page: https://canvas.dartmouth.edu/courses/29129 (or http://www.math.dartmouth.edu/~m25f18/ redirects)
- Prerequisites: Math 8, or equivalent. If you are unsure about your preparation, please talk to the instructor!
- Required Text: David Burton, Elementary Number Theory, 7th edition, 2012.
- Recommended Texts: Kevin Houston, How to Think Like a Mathematician: A Companion to Undergraduate Mathematics, 2009; see also its Home page and the summary 10 Ways to Think Like a Mathematician.
- Grading: Grade will be based on reading and class participation, daily homework, weekly homework, short exams, and a takehome final exam (see Grading).
Course Catalogue Description:
The great mathematician C. F. Gauss once wrote "Mathematics is the queen of sciences and number theory is the queen of mathematics." Number theory is that part of mathematics dealing with the integers and certain natural generalizations. Topics include modular arithmetic, unique factorization into primes, linear Diophantine equations, and Fermat's Little Theorem. Discretionary topics may include cryptography, primality testing, partition functions, multiplicative functions, the law of quadratic reciprocity, historically interesting problems.
By the end of this course, you should be able to:
- Understand of the basic structures of number theory: define terms, explain their significance, and apply them in context;
- Solve mathematical problems: utilize abstraction and think creatively; and
- Write clear mathematical proofs: recognize and construct mathematically rigorous arguments.
- Academic Honor Principle
- Student Accessibility Needs
- Mental Health
- Religious Observances
- Additional Support for your Learning
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