Math 103: Modern Algebra, Winter 2019

under construction!

Office hours:M4:30-5:30 W3:30-4:30 and by appt (just talk to me after class, or call or email)

Office: APM 5256, tel. (858) 534-2734

Teaching assistant: Sittipong (Kuang) Thamrongpairoj email: sithamro@ucsd.edu office hours: T9-11am, W1:30-3:30pm, office APM6434

Calculation of Grade

Your grade will be calculated as the better of the two options as follows:

Option 1: homework (10%), 2 midterms (20% each) and the final (50%).

Option 2: homework (10%), the better of the 2 midterms (30%) and the final (60%).

For both options we will drop your worst homework score for the homework component. There are no make-up exams. If you miss a midterm, we will automaticall use Option 2.

Texts

  • Joseph Gallian, Contemporary abstract algebra, ninth edition.

    Tentative Syllabus We will primarily study groups, roughly covering chapters 0 until 10 or 11, and perhaps a chapter or two of part 3 (special topics). The following is a tentative syllabus, which probably will be modified a few times during the course.

    Week Monday Tuesday Wednesday Thursday Friday
    1
    Jan 7
    Chap 0 (Review)
    Jan 8
    No discussion
    Jan 9
    Chap 0 (Review)
      Jan 11
    Chap 2
    2
    Jan 14
    Chap 1
    Jan 15
    Discussion
    Jan 16
    Chap 3
      Jan 18
    Chap 3
    3
    Martin Luther King Day
    Jan 22
    Discussion
    Jan 23
    Chap 4
      Jan 25
    Chap 5
    4
    Jan 28
    Chap 5
    Jan 29
    Discussion
    Jan 30
    Chap 5apps
      Feb 1
    Chap 6
    5
    Feb 4
    Chap 5/6
    Feb 5
    Discussion
    Feb 6
    Exam 1
      Feb 8
    Chap 6
    6
    Feb 11
    Chap 6/7
    Feb 12
    Discussion
    Feb 13
    Chap 7
      Feb 15
    Chap 9
    7
    Presidents' Day
    Feb 19
    Discussion
    Feb 20
    Chap 8
      Feb 22
    Chap 8
    8
    Feb 25
    Chap 10
    Feb 26
    Discussion
    Feb 27
    Exam 2
      Mar 1
    Chap 10
    9
    Mar 4
    Chap 10
    Mar 5
    Discussion
    Mar 6
    Chap 10
      Mar 8
    Chap 10
    10 Mar 11
    Chap 8
    Mar 12
    Discussion
    Mar 13
    Applications
      Mar 15
    Catch-up
    11 Mar 18
    Final Exam
    11:30am-2:30pm
           

    Homework assignments

    Homeworks need to be turned in on or before the stated date, usually a Wednesday, by 8pm. No homework needs to be turned in in weeks when a midterm is scheduled. However, some of the listed problems may also be part of the material being asked for the midterm. It is very important that you do the homework problems as most of the exam problems will be variations of homework problems.

    Disclaimer: I will try to get the homework assignment on the net in time. Due to time and other limitations, this may not always be possible. The fact that there is no assignment posted for a particular date does therefore NOT necessarily mean that no homework is due.

    for Jan 16: Chapter 0: 4, 8, 12, 16, 18, 28, 38

    for Jan 23: Chapter 2: p. 54: 4, 5, 9, 10, 13, 21, 23(try induction), 27, 29, Chapter 3: p. 69: 2, 4,

    for Jan 30: Chapter 4: p. 85-87: 1, 2, 4, 12, 13, 22, 32, 34, click on additional problem

    for Feb 6: (need not be turned in, but could be relevant for midterm) Chapter 4: p. 89-90: 67, 69, 70, Chapter 5: p. 112: 1, 2, 4, 5ab, Review: What are the elements of U(11)? Is it cyclic?

    Midterm 1: The first midterm will take place this Wednesday in class. The material will go until what is covered in the last assignment. You are allowed to use one hand-written cheat sheet, but no calculators, books or other notes. You will not need a bluebook, but bring scratch paper.

    Extra office hour: Tu: 3:30-4:30

    for Feb 13: Chapter 5, p. 113-115: 6, 8cde, 10, 11, 28, 29, 32, 37, 39, 40

    Solutions Midterm1

    relevant for midterm (need not be turned in): Chapter 7, pages 150-152: 1, 3, 6, 7, 8, 9, 13, 20, 29, 30

    Midterm 2: The second midterm will take place this Wednesday in class. The material will primarily go over what we covered from Chapters 5, 6 and 7. So you should make sure you understand all the definitions and assigned problems from these chapters. The same rules hold as for the first midterm: You are allowed to use one hand-written cheat sheet, but no calculators, books or other notes. You will not need a bluebook, but bring scratch paper.

    for March 6: Chapter 9, p. 188-189: 6, 7, 8, 9, 10(a), 14, 17, 18

    for March 13: Chapter 9, p. 189: 19, 22, 27, Chapter 10, p. 207: 25, 26, 27, 39, Chapter 8: 8, 10, 12 (3 groups, not four), not to be turned in but relevant for final: 18, 22, 29, 30

    Review exercises from Chapter 6: 1, 4, 5, 16, 26

    Solutions Midterm2

    Practice Final