Edu 382 Week Two Assignment

Math 120: Groups and Rings (Fall 2017)

Time /Place: MWF 1:30-2:30, 380W
Lecturer: Michael Kemeny (mkemeny@stanford.edu)

This course covers groups, rings and fields. It will be a demanding, theoretical course and will move at a fast pace. Those interested in a less theoretical course should instead take Math 109.


Course Assistant:Jonathan Love (jonlove@stanford.edu). Admin type questions should first be sent here.
Text: Abstract Algebra by Dummit and Foote, Third Edition

Office Hours: Mon 2:30-3:30 and Thurs 10:00-11:00 (MK, in Room 382-E). Weds 4:30-6:30 (JL in 380-N)
Office hours start in week 2, but in the first week there will be a special office hour from 4:30-5:30 on Friday (JL)


Homework: Weekly problem sets will be posted here each Friday and due in class the following Friday. Homework must be handed in at start of class. Late assignments will not be accepted. You are encouraged to discuss problems together, but should write out the problems individually and in your own words. The weakest problem set will be dropped from the final grade.

In addition, there will be roughly biweekly, online, short assignments available on Canvas , designed to test your reading (total of 6 online quizzes, you need to do 5 to get full marks). You will get full marks for any good-faith answer.

Homework1

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Homework4

Homework5

Homework6

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Homework8

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Writing the the Major (WIM): Math 120 is a writing in the major course. Paper topics will by posted here in due course. Papers should be written in LaTeX or something equivalent.

WIM Paper topics: Choose one of the following two topics. The length of the paper should be the equivalent of 3 pages typed (handwritten is allowed, but must be easily legible). Describe the background, some motivation and give clear proofs of the main results.

Topic 1) Normal series, the Schreier Refinement Theorem and the proof of the Jordan-Hölder Theorem.

Topic 2) Burnside's Lemma with an application to at least one counting problem (e.g. colourings)

  • Here are some resources on mathematical writing: Terry Tao's blog , Mathematical Writing by Halmos (see Section 42), and Ravi Vakil's suggestions from an old version of this course

    Grading scheme:
    Short online assignments 5%
    Problem sets 20%
    Writing in the Major Assignment 15%
    Midterm 20%
    Final exam 40%

    Important Dates:
    Midterm: 8th November, 7:00-9:00 PM in Room 380-Y Midterm Solutions
    Final: 13th December, 3:30-6:30 PM in Room 381-S (Confirmed)
    Writing in the Major Assignment: First Draft due 17th November, Final version due Thurs, December 7

    Syllabus: Groups acting on sets, examples of finite groups, Sylow theorems and simple groups. Fields, rings, and ideals; polynomial rings over a field; PID and non-PID. Unique factorization domains.

  • In week one we will cover sections 1.1, 1.3, 1.4, 1.6 of DF. Lecture1Lecture2Lecture3
  • Week two: 2.1, 2.3, 2.4, 3.1,5.1 of DF. Lecture4Lecture5Lecture6
  • Week 3: 3.2,3.3,3.4,3.5 Lecture7Lecture8Lecture9
  • Week 4: 4.1,4.2,4.6 Lecture10Lecture11Lecture12
  • Week 5: 4.3,4.5 Lecture13Lecture14Lecture15
  • Week 6: 7.1,7.2,7.3 Lecture16Lecture17Lecture18
  • Week 7: 7.4,7.5,15.4 Lecture19Lecture20Lecture21
  • Week 8: 8.2,8.3,9.2 Lecture22Lecture23Lecture24
  • Week 9: 8.1+extra stuff Lecture25Lecture26Lecture27
  • Week 10: Fermat's Sums of Squares Thm Lecture28Lecture29 (last lecture)

    Students with Documented Disabilities

    Students who may need an academic accommodation based on the impact of a disability must initiate the request with the Office of Accessible Education (OAE). Professional staff will evaluate the request with required documentation, recommend reasonable accommodations, and prepare an Accommodation Letter for faculty dated in the current quarter in which the request is being made. Students should contact the OAE as soon as possible since timely notice is needed to coordinate accommodations.

    The OAE is located at 563 Salvatierra Walk (phone: 723-1066, link).

    Affordability of Course Materials

    Stanford University and its instructors are committed to ensuring that all courses are financially accessible to all students. If you are an undergraduate who needs assistance with the cost of course textbooks, supplies, materials and/or fees, you are welcome to approach me directly. If would prefer not to approach me directly, please note that you can ask the Diversity and First-Gen Office for assistance by completing their questionnaire on course textbooks and supplies: questionnaire or by contacting Joseph Brown, the Associate Director of the Diversity and First-Gen Office (jlbrown@stanford.edu; Old Union Room 207).

    Dr. Brown is available to connect you with resources and support while ensuring your privacy.



  • - Стратмор обошел фильтры. Я в этом уверена.  - Она подошла вплотную к окну.

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