2016 Fall Course Syllabus - Mathematics 3003.001

2016 Fall Course Syllabus - Mathematics 3003.001

Course: Mathematics 3003.001.

Course Title: Theory of Numbers.

Time: MWF 11:00-11:50.

Place: Wachman 9.

Instructor: Charles Osborne.

Instructor Office: Wachman Hall, Room 1035.

Instructor Email: charles.osborne@temple.edu

Instructor Phone: 609 634 4080.

Office Hours: W 12:00-1:00 | TR 11:40-12:40.

Prerequisites: A grade of C or better in Math 1042, or equivalent transfer credit.

Textbook: Elementary Number Theory (6th Edition), by Kenneth H. Rosen.

Course Goals: To study the divisibility properties of integers, prime factorization, distribution of primes, linear and quadratic congruences, primitive roots, quadratic residues, quadratic reciprocity, simple Diophantine equations, cryptology.

Topics Covered: We plan to cover the following sections of the book: 1.1-1.3, 1.5, 3.1-3.5, 3.7, 4.1-4.3, 6.1, 6.3, 7.1, 8.1-8.4, 7.2, 7.4, 9.1-9.3, and 11.1.

Course Grading: The grade will be based on two midterms, one final exam, and submitted homework. Grades will be computed in a straightforward manner, dividing points earned by possible points. Course averages correspond to letter grades as follows: 0-49 F, 50-54 D-, 55-64 D, 65-69 D+, 70-72 C-, 73-76 C, 77-79 C+, 80-82 B-, 83-86 B, 87-89 B+, 90-92 A-, 93-100 A.

Exam Dates: Midterms will occur at the beginning of October and the middle of November; exact dates will be announced in class. Both midterms will be held during regular course hours.

Attendance Policy: Attendance is required. Students who miss 7 - 12 classes without a documented excuse, will have their grades lowered by one notch (e.g., from C to C-); those who miss 13 - 18 classes, will have their grades lowered by two notches, etc.

Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.

Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.

Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar for exact dates.

During the first two weeks of the fall or spring semester, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.

The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.

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