Math 103A, Fall 2022
Modern Algebra I

## Announcements:

• During finals week I will have office hours Wednesday 3:00-4:30 and Thursday 3:30-5:00
• I have reduced the assignment of HW 9 to: Chapter 8 problems 10, 52 and Chapter 10 problems 15, 24
• During the week of the second midterm, my office hours will be Wednesday 11-12 and 2-4.
• I'm sick today (Nov. 7) and am doing everything remote. Lecture notes for recorded Lecture Nov. 7 (video on Canvas). My office hours are at zoom id 976 2314 0201.
• On Monday Nov. 7 my office hours will be 11:00 - 11:30 and 4:00 - 4:30 (rather than 11:00 - 12:00).
• During the week of the first midterm, my office hours will be Wednesday 11-12 and 2-4.

## Course Information

Professor: Brandon Seward (pronouns: they/them or he/him)
Email: bseward@ucsd.edu
Lecture: MWF 10:00-10:50 in Peterson room 102
Lecture Recordings: On our Canvas page under the Media Gallery tab
Lecture Notes: Chapters 0 , 1 and 2, 3, 4, 5, 6, 7, 9, 8, 10
Office Hours: Mon. 11-12 and Wed. 2-4 in AP&M 5739

Teaching Assistant: Qingyuan Chen (pronouns: he/him)
Email: qic069@ucsd.edu
B01 Discussion: Fri. 5:00-5:50 in Center Hall room 203
B02 Discussion: Fri. 6:00-6:50 in Center Hall room 203
Office Hours: Tues. 1-3 and Thurs. 1-3 in Humanities and Social Sciences Building (HSS) 3062

Course Descritption:
First course in a two-quarter introduction to abstract algebra with some applications. The emphasis is on group theory. Topics include: definitions and basic properties of groups, properties of isomorphisms, and subgroups. No previous knowledge of abstract algebra will be assumed, but students will be expected to be able to understand and write basic proofs, as covered in Math 109.

Math 103 vs Math 100: Math 100ABC and Math 103AB are course sequences that cover similar material. Math 100 is more challenging, goes into greater depth, and focuses more on theory, while Math 103 provides basic and practical knowledge with an emphasis on examples and applications. You cannot recieve credit for both sequences, so you must choose between the two. If you plan to go to graduate school in math then you should strongly consider taking Math 100 instead of Math 103.

Textbook: Contemporary Abstract Algebra by Joseph A. Gallian, 9th edition. We will cover most of Chapters 0 through 10, and perhaps Chapter 11 if we have time. An electronic version of the textbook is available to you through our Canvas page. Important: Your student account will be automatically charged for the electronic textbook unless you OPT-OUT by October 8th. Instructions on how to opt out can be found here: https://solve.redshelf.com/hc/en-us/articles/360013142634-How-to-Opt-Out.

Homework: Homework will be assigned regularly and due on Wednesdays at 11:59 PM. No late homework will be accepted, but your two lowest homework scores will be dropped when computing your final grade. On each assignment, a few problems will be graded for correctness, while the others will be graded simply for completion. We will use Gradescope for turning in homework. When registering for gradescope, please register using your "@ucsd.edu" email address and use Entry Code E7676E.

Homework 0 (Due Wednesday Sept. 28): Chapter 0 problems 2 and 3.
Homework 1 (Due Wednesday Oct. 5): Chapter 0 problems 11, 13, 14, 16, 18, 28, 38, 60
Homework 2 (Due Wednesday Oct. 12): Chapter 2 problems 11, 12, 14, 15, 18, 32, 35, 40, 47
Homework 3 (Due Wednesday Oct. 19): Chapter 3 problems 10, 13, 20, 22, 28, 46, 61, 71, 73
Homework 4 (Due Wednesday Oct. 26): Chapter 4 problems 1, 9, 10, 12, 38, 41, 53, 61, 67
Homework 5 (Due Wednesday Nov. 2): Chapter 5 problems 2, 3, 5, 22, 29, 31, 32, 34, 43
Homework 6 (Due Wednesday Nov. 9): Chapter 5 problems 8, 9, 15, 19, 55 and Chapter 6 problems 1, 7, 37, 39
Homework 7 (Due Wednesday Nov. 16): Chapter 6 problems 26, 28, 32, 59 and Chapter 7 problems 1, 5, 6, 16, 36
Homework 8 (Due Wednesday Nov. 30): Chapter 7 problems 7, 15 and Chapter 9 problems 12, 14, 17, 18, 32, 52
Homework 9 (Due Friday Dec. 2): Updated: Chapter 8 problems 10, 52 and Chapter 10 problems 15, 24 (previously listed as: Chapter 8 problems 6, 8, 10, 52 and Chapter 10 problems 9, 15, 24, 31, 35)

Exams: All exams will be in-person. If you miss a midterm no makeup exam will be given. Instead your final exam will count towards 60% of your final grade.
• First Midterm. [Practice Midterm] Friday Oct. 21. Will cover Chapters 0, 1, 2, and 3. You may bring one 8.5x11 sheet of paper with notes on it to the exam.
• Second Midterm. [Practice Midterm] Friday Nov. 18. Will cover Chapters 4, 5, and 6. You may bring one 8.5x11 sheet of paper with notes on it to the exam.
• Final Exam. [Practice Final] Friday Dec. 9 from 8:00 AM to 11:00 AM. Will cover Chapters 1, 2, 3, 4, 5, 6, 7, 9, and 10.