[Math 4120B/9020B Home]

Math 4120B/9020B: Field Theory, Winter 2019

Please check this page regularly for updates and announcements.

The first class is on Tuesday, January 8th and will be a regular class.

Section 1
Instructor: Nicole Lemire
Office: Middlesex 103C
Phone: 519-661-2111 x86533
E-mail: nlemire at uwo dot ca
Office Hours: After class or by appointment.
Class times: TR 9:30-11:00am
Class location: MC 108
 
Text: Abstract Algebra, Third Edition, by David S. Dummit, and Richard M. Foote, published by John Wiley and Sons, Inc.
Prerequisites: Math 4123A/B or equivalent.

Course outline:

Automorphisms of fields, separable and normal extensions, splitting fields, fundamental theorem of Galois theory, primitive elements, Lagrange's theorem. Finite fields and their Galois groups, cyclotomic extensions and polynomials, applications of Galois theory to geometric constructions and solution of algebraic equations.

The course material corresponds to Chapters 13 and 14, of the text, plus some additional topics.

Link to UWO course calendar.

Evaluation of Student Performance (for Math 4120B):

Assignments: 30%
Midterm Examination:  30%
Final Examination: 40%

Evaluation of Student Performance (for Math 9020B):

Assignments: 25%
Midterm Examination:  25%
Project and Presentation:  10%
Final Examination: 40%

Evaluation of Student Performance:

Assignments: 30%
Midterm Examination:  30%
Final Examination: 40%

There will be 6 or 7 assignments. They are due at the beginning of class. Details about the assignments and projects will be posted on the class OWL site. The lowest (or missing) assignment grade will be dropped when computing the course grade.

Midterm Information:

The date of the midterm exam will be announced soon.

Final Exam Information

The date for the final exam will be announced soon.

The assignments are to be thought of as take-home exams and should be done entirely on your own. All those involved in copying will receive a negative grade on the assignment in question. In addition, all academic offenses will be reported to the Dean`s office, and may result in further penalties. Regarding Scholastic Offences and Penalties, see pp. 23-26 of the Academic Calendar or refer to Scholastic Discipline.

Senate Policy On Prerequisites

Prerequisite checking is the student`s responsibility. Unless you have either the prerequisites for this course or written special permission from your Dean to enroll in it, you may be removed from this course and it will be deleted from your record. This decision may not be appealed. You will receive no adjustment to your fees in the event that you are dropped from a course for failing to have the necessary prerequisites.

Statement on Academic Offences

Scholastic offences are taken seriously and students are directed to read the appropriate policy, specifically, the definition of what constitutes a Scholastic Offence, at http://www.uwo.ca/univsec/pdf/academic_policies/appeals/scholastic_discipline_undergrad.pdf or http://www.uwo.ca/univsec/pdf/academic_policies/appeals/scholastic_discipline_grad.pdf

Absence/ Missed Work

If you are unable to meet a course requirement due to illness or other serious circumstances, you must provide valid medical or other supporting documentation to your Dean`s office as soon as possible and contact your instructor immediately . It is the student`s responsibility to make alternative arrangements with his or her instructor once the accommodation has been approved and the instructor has been informed. In the event of a missed final exam, a “Recommendation of Special Examination” form must be obtained from the Dean`s Office immediately. For further information concerning UWO`s Policy on Accommodation for Medical Illness please refer to this policy at: http://www.uwo.ca/univsec/pdf/academic_policies/appeals/accommodation_medical.pdf.

A student requiring academic accommodation due to illness should use the Student Medical Certificate when visiting an off-campus medical facility or request a Record`s Release Form (located in the Dean`s Office) for visits to Student Health Services. The form can be found here: http://www.uwo.ca/univsec/pdf/academic_policies/appeals/medicalform_15JUN.pdf.

Make-up exams and conflicts

If you know ahead of time that you are unable to attend a midterm or final exam, you must let your instructor know at least two weeks in advance so alternative arrangements can be made. See also the University`s policy on final exam conflicts.

Accessibility Statement

Please contact the course instructor if you require material in an alternate format or if you require any other arrangements to make this course more accessible to you. You may also wish to contact Services for Students with Disabilities (SSD) at 661-2111 x 82147 for any specific questions regarding an accommodation.

Statement on Accessibility Services for Graduate Students

Western is committed to achieving barrier-free accessibility for all its members, including grad- uate students. As part of this commitment, Western provides a variety of services devoted to promoting, advocating, and accommodating persons with disabilities in their respective graduate program. Graduate students with disabilities (for example, chronic illnesses, mental health conditions, mobility impairments) are encouraged to register with Student Accessibility Services, a confidential service designed to support graduate and undergraduate students through their academic program. With the appropriate documentation, the student will work with both SAS and their graduate programs (normally their Graduate Chair and/or Course instructor) to ensure that appropriate academic accommodations to program requirements are arranged. These accommodations include individual counselling, alternative formatted literature, accessible campus transportation, learning strategy instruction, writing exams and assistive technology instruction.

Support Services

  1. Office of the Registrar: http://www.registrar.uwo.ca
  2. Student Development Services: http://www.sdc.uwo.ca
  3. Learning Skills Services: http://www.sdc.uwo.ca/learning
  4. USC: http://westernusc.ca/services
  5. Academic Calendar: http://www.westerncalendar.uwo.ca
  6. ITS: http://www.uwo.ca/its/helpdesk
  7. Students who are in emotional/mental distress should refer to Mental Health@Western for a complete list of options about how to obtain help.http://www.health.uwo.ca/mental_health

Please check the the OWL course web page regularly for announcements and other information.

Western Mathematics Home Page