|(11) MWF 11:30 - 12:35
|Tu 12:15 - 1:05
|samantha.g.allen AT dartmouth.edu
Tu 1:30-3:30, Th 11-12,
or by appointment.
|We will use Canvas for the gradebook.
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.
Prerequisites: MATH 8
Elementary Number Theory by Gareth A. Jones and J. Mary Jones
There will be two midterm exams and a cumulative final exam. The exams are scheduled as follows:
|In-class portion: Wednesday, October 9
|Take-home portion: Due Friday, October 11
|In-class portion: Wednesday, October 30
|Take-home portion: Due Friday, November 1
|Sunday, November 24, 3:00-6:00 pm
If you have a conflict with an exam because of a religious observance, scheduled extracurricular activity such as a game or performance [not practice], or similar commitment, please see your instructor as soon as possible.
The course grade will be based upon the scores on the midterm exams, homework, and the final exam as follows:
|Midterm Exam 1
|Midterm Exam 2
Academic integrity is at the core of our mission as mathematicians and educators, and we take it very seriously. We also believe in working and learning together.
Collaboration on homework is permitted and encouraged, but obviously it is a violation of the honor code for someone to provide the answers for you.
On written homework, you are encouraged to work together, and you may get help from others, but you must write up the answers yourself. If you are part of a group of students that produces an answer to a problem, you cannot then copy that group answer. You must write up the answer individually, in your own words. A good practice is to discuss ideas on a blackboard, then erase the blackboard and try to reproduce the arguments later, on your own paper, and without assistance.
On exams, you may not give or receive help from anyone.In-class exams in this course are closed book, and no notes, calculators or other electronic devices are permitted. For take-home portions of exams, the textbook (Elementary Number Theory by Jones and Jones) and your class notes may be used, but no other sources are permitted.
Students with disabilities who may need disability-related academic adjustments and services for this course are encouraged to see me privately as early in the term as possible. Students requiring disability-related academic adjustments and services must consult the Student Accessibility Services office (Carson Hall, Suite 125, 646-9900, Student.Accessibility.Services@Dartmouth.edu). Once SAS has authorized services, students must show the originally signed SAS Services and Consent Form and/or a letter on SAS letterhead to their instructor. As a first step, if you have questions about whether you qualify to receive academic adjustments and services, you should contact the SAS office. All inquiries and discussions will remain confidential.
The academic environment at Dartmouth is challenging, our terms are intensive, and classes are not the only demanding part of your life. There are a number of resources available to you on campus to support your wellness, including your undergraduate dean (http://www.dartmouth.edu/~upperde), Counseling and Human Development (http://www.dartmouth.edu/~chd/), and the Student Wellness Center (http://www.dartmouth.edu/~healthed/).
Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with your instructor before the end of the second week of the term to discuss appropriate accommodations.