Kalina Mincheva

Abstract Algebra I

Instructor: Steven Zucker
Office hours: Wednesday 3-3:50pm, Friday 4:30-6pm Krieger 210

Exams

Midterm: Wednesday, March 25.
Final: Tuesday, May 12, 2-5pm, Krieger 302

TA Office hours

If you need help with the course or you have questions regarding the material or the homeworks or you would just want to pick up your homework, please don't hesitate to stop by my office or write me an email. I can also be found in the helproom. If those times are inconvenient you can arrange an appointment.

Office hours: Thursday 2:30pm - 3:45pm in Krieger 411
Helproom hours: Thursday 11am - 1pm in Krieger 213

Homework

  • Homework 1 - due Wednesday, Jan 28

    • 1. Determine if A implies B and if B implies A in the following cases:
    (i) A: Both numbers are even numbers; B: Their sum is even.
    (ii) A: Both numbers are odd numbers; B: Their product is odd.

    2. Determine if A implies B and if B implies A in the following cases:
    (i) A: f(x) is a polynomial function; B: f'(x) is a polynomial function.
    (ii) A: f(x) is a rational function; B: f'(x) is a rational function.

  • Homework 2 - due Monday, Feb 2

    • Sec 0.1 4(b),5(b),(c)
    Sec 0.4 1(f), 2(b),(d); 6, 7(d), 8, 9, 10.

  • Homework 3 - due Monday, Feb 9

    • Sect. 1.1 2(c), 11, 18(b),(d), 22, 23, 26
    Sect. 1.2 2(b), 7(a), 9(d), 11, 13, 17, 38, 40
    Sect 1.3 4, 7, 12, 19, 22(b),(d); 23(a), 25(d), 31

  • Homework 4 - due Monday, Feb 16

    • Sec. 1.4 1(f), 6, 7(b), 13(d), 14, 17(b), 23, 26[super WI!], 28
    Sec. 2.1 1(b),(f); 5, 6, 9(b), 15, 20
    Sec. 2.2 1(b),(d),(f); 2, 3(b), 10(b), 14, 16, 26, 27

  • Homework 5 - due Monday, Feb 23

    • Sec. 2.2 23
    Sec. 2.3 1(b),(d),(f); 2, 5[H non-abelian in (b)], 6(b), 9[also, relate C(g) and Z(G)], 10, 11, 13, 15(d), 16, 21, 23
    Sec. 2.4 1/2(b)[regard #1 and #2 as a single problem], 4(b), 6, 7, 10, 15, 16(b),(f); 17, 19, 20, 29

  • Homework 6 - due Wednesday, March 4

    • Sec. 2.3 19
    Sec. 2.5 2, 5, 7, 9, 10, 12(d),(f); 17, 20, 21, 24, 34
    Sec. 2.6 1(b), 2, 3, 6, 8, 10(b), 11, 15, 17, 24, 35

  • Homework 7 - due Tuesday, March 17

    • Sec. 2.7 7
    Sec. 2.8 1(b), 4, 7, 17, 18, 19[subtly different from p.125, Lemma 2], 23.
    Sec. 2.9 3(b), 4(b), 6, 10, 12, 13(b),(d); 16, 17, 28, 31.
    Sec. 2.10 4, 8(b),(d); 18, 19, 32.

  • Homework 8 - due Monday, April 6

    • Sec 3.1 2, 4, 5, 12, 18(b), 20, 22(c), 31, 36(b),(d), 39.
    Sec 3.2 2, 6, 11, 18, 21, 25, 29.
    Sec 3.3 1(b),(d); 2, 8, 9(b), 12(a),(b),(c),(d); 16, 21(c).

  • Homework 9 - due Monday, April 13

    • Sec. 3.3 20, 25, 32.
    Sec. 3.4 1(b),(d); 5, 7, 11, 19, 28, 32.

  • Homework 10 - due Monday, April 20

    • Sec. 4.1 8, 13, 14(d)(f); 17(d), 23(b), 26, 29, 31, 37[see 35].

  • Homework 11 - due Monday, April 20

    • Sec.4.2 3(b), 5(c), 13, 18(d), 21(c), 22(b), 25, 28, 29, 30, 35(b), 42(b).