# Rings and Fields MATH 210, Winter 2018

 Home Schedule and Homework
 Instructor: Ivan Dimitrov, Jeffery 508   Lectures: Tuesday, 12:30 - 13:30 in Jeffery 126 Thursday, 11:30 - 12:30 in Jeffery 126 Friday, 13:30 - 14:30 in Jeffery 126   Office Hours: Tuesday, 13:30 - 14:30, Jeffery 508 Friday, 12:30 - 13:30, Jeffery 508 and by appointment   TA: Benjamin Hersey   Tutorial: Tuesday, 15:30 - 16:30 in Jeffery 126   Intended student learning outcomes: Be able to demonstrate computational proficiency by calculating greatest common divisors, solving linear equations in integers, factoring polynomials, etc. Be able to analyze examples and to discover common phenomena as demonstrated by performing calculations in quotient rings and fields. Be able to set problems clearly, to articulate assumptions and to state precise definitions, e.g. relate properties of ideals and the corresponding quotient rings. Be able to use mathematical reasoning to infer logical conclusions as demonstrated by applying homomorphism theorems to establish isomorphisms between fields. Be able to construct and analyze proofs, e.g. prove isomorphisms between different fields and rings.   Course outline: An introduction to the theory of rings and fields: integers, polynomials, modular arithmetic, rings, ideals, homomorphisms, quotient rings, division algorithm, greatest common divisors, Euclidean domains, unique factorization, fields, finite fields.   Textbook: Thomas Hungerford, Abstract Algebra, Brooks/Cole, Third Edition, 2013.   Grading method: All components of this course will receive numerical percentage marks. The final grade will be derived by converting your numerical course mark to a letter grade according to Queen's Official Grade Conversion Scale.   Grading scheme: The course grades will be computed as follows: 20% Homework 30% Midterm Exam 50% Final Exam   Homework: There will be two kinds of homework: Exercises that give you a chance to practice and refine your skills. These will not be collected. Problem sets consisting of 3 questions each. There are posted on the Schedule page and sets are collected at the beginning of class on Friday; late homework is not accepted. There will be 11 problem sets; the lowest score will be dropped. Graded homework can be picked up in the MATH 210 boxes outside of Jeffery 126.   Midterm and final exams: The locations and times of the exams will be posted on the Schedule page as they become available.   Late policy: Coursework submitted after the deadline will not be accepted and will receive a grade of zero.   Prerequisites: MATH 110, or MATH 111, or MATH 112 with permission of the department.   Expectations: Students are expected to: read the textbook, attend the lectures, complete all homework assignments, discuss mathematics with other students.   Help: Help is available if you have trouble with homework or lecture material: visit the office hours, take advantage of the Math Centre (201 Jeffery Hall) — you may drop by whenever the Help Centre is open; no appointment is necessary, study in groups.   Technology: Students are encouraged to use any available technology while studying and on the homework. However, no aids will be allowed during the exams.   Academic Integrity: It is the obligation of each student to understand the University's policies regarding academic honesty and to uphold these standards. Students are encouraged to talk about the problems, but should write up the solutions individually. Students should acknowledge the assistance of any books, software, students, or professors.   Disability accommodations statement: Queen's University is committed to achieving full accessibility for persons with disabilities. Part of this commitment includes arranging academic accommodations for students with disabilities to ensure they have an equitable opportunity to participate in all of their academic activities. If you are a student with a disability and think you may need accommodations, you are strongly encouraged to contact Student Wellness Services (SWS) and register as early as possible. For more information, including important deadlines, please visit the Student Wellness.   Academic Consideration for students in extenuating circumstances: Queen's University is committed to providing academic consideration to students experiencing extenuating circumstances that are beyond their control and which have a direct and substantial impact on their ability to meet essential academic requirements. Each Faculty has developed a protocol to provide a consistent and equitable approach in dealing with requests for academic consideration for students facing extenuating circumstances. Arts and Science undergraduate students should use the Academic Consideration Request Portal (ACRP) to submit a request. Students in other Faculties and Schools should refer to the protocol for their home Faculty.