Math 4120/9020B Field theory
1. Course Information
|Math 4120/9120 ||Field theory |
Prerequisites: Math 3020A/B and Math 3120A/B
Unless you have either the requisites 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.
2. Instructor Information
| Instructor:||Ajneet Dhillon |
|Office hours ||TBA|
3. Course Syllabus, Schedule, Delivery Mode
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
|Classes begin ||January 3rd|
|Reading week|| February 19th to 27th|
|Classes end ||April 1st|
4. Course Materials
In the event of a health lockdown you will need
a stable internet connection, computer with working microphone and webcam.
|References - ||Dummit and Foote "Abstract Algebra" chapters 13 and 14 |
| || S. Lang "Algebra" |
5. Methods of Evaluation
The overall course grade will be calculated as listed below:
5 assignments worth 10% each.
Final exam worth 50%
Approximate due dates of assignments January 17th, February 7th, February 28th, March 14th, March 28th
6. Student Absences
Academic Consideration for Student Absences
Students who experience an extenuating circumstance (illness, injury or other extenuating circumstance) sufficiently significant to temporarily render them unable to meet academic requirements may submit a request for academic consideration through the following routes:
(i) Submitting a Self-Reported Absence (SRA) form provided that the conditions for submission are met. To be eligible for a Self-Reported Absence:
• an absence must be no more than 48 hours
• the assessments must be worth no more than 30% of the student’s final grade
• no more than two SRAs may be submitted during the Fall/Winter term
(ii) For medical absences, submitting a Student Medical Certificate (SMC) signed by a licensed medical or mental health practitioner to the Academic Counselling office of their Faculty of Registration.
(iii) Submitting appropriate documentation for non-medical absences to the Academic Counselling office in their Faculty of Registration.
Note that in all cases, students are required to contact their instructors within 24 hours of the end of the period covered, unless otherwise instructed in the course outline.
Students should also note that individual instructors are not permitted to receive documentation directly from a student, whether in support of an application for consideration on medical grounds, or for other reasons. All documentation required for absences that are not covered by the Self-Reported Absence Policy must be submitted to the Academic Counselling office of a student's Home Faculty.
For the policy on Academic Consideration for Student Absences – Undergraduate Students in First Entry Programs, see:
and for the Student Medical Certificate (SMC), see:
When a course requirement conflicts with a religious holiday that requires an absence from the University or prohibits certain activities, students should request accommodation for their absence in writing at least two weeks prior to the holiday to the course instructor and/or the Academic Counselling office of their Faculty of Registration. Please consult University's list of recognized religious holidays (updated annually) at
Absences from Final Examinations
If you miss the Final Exam, please contact the Academic Counselling office of your Faculty of Registration as soon as you are able to do so. They will assess your eligibility to write the Special Examination (the name given by the University to a makeup Final Exam).
You may also be eligible to write the Special Exam if you are in a “Multiple Exam Situation” (e.g., more than 2 exams in 23-hour period, more than 3 exams in a 47-hour period).
7. Accommodation and Accessibility
Students with disabilities work with Accessible Education (formerly SSD), which provides recommendations for accommodation based on medical documentation or psychological and cognitive testing. The policy on Academic Accommodation for Students with Disabilities can be found at:
8. Academic Policies
The website for Registrarial Services is http://www.registrar.uwo.ca.
In accordance with policy,
the centrally administered e-mail account provided to students will be considered the individual’s official university e-mail address. It is the responsibility of the account holder to ensure that e-mail received from the University at his/her official university address is attended to in a timely manner.
No electronic devices are permitted in exams and tests. This includes, but is not limited to, calculators, phones, laptops and tablets.
Scholastic offences are taken seriously and students are directed to read the appropriate policy, specifically, the definition of what constitutes a Scholastic Offence, at the following Web site:
In the event of a health lockdown:
Tests and examinations in this course will be conducted using a remote proctoring service. By taking this course, you are consenting to the use of this software and acknowledge that you will be required to provide personal information (including some biometric data) and the session will be recorded. Completion of this course will require you to have a reliable internet connection and a device that meets the technical requirements for this service. More information about this remote proctoring service, including technical requirements, is available on Western’s Remote Proctoring website at:
8. Support Services
Please visit the Science & Basic Medical Sciences Academic Counselling webpage for information on adding/dropping courses, academic considerations for absences, appeals, exam conflicts, and many other academic related matters: https://www.uwo.ca/sci/counselling/.
Please contact the course instructor if you require lecture or printed material in an alternate format or if any other arrangements can make this course more accessible to you. You may also wish to contact Accessible Education at (519) 661-2147 if you have any questions regarding accommodations.
Students who are in emotional/mental distress should refer to Mental Health@Western (http://www.health.uwo.ca/mentalhealth) for a complete list of options about how to obtain help.
Additional student-run support services are offered by the USC, http://westernusc.ca/services.
Contingency plan for an in-person class pivoting to 100% online learning
In the event of a COVID-19 resurgence during the course that necessitates the course delivery moving away from face-to-face interaction, all remaining course content will be delivered entirely online, either synchronously (i.e., at the times indicated in the timetable) or asynchronously (e.g., posted on OWL for students to view at their convenience). The grading scheme will not change. Any remaining assessments will also be conducted online as determined by the course instructor.