Marquette University

Department of Mathematics, Statistics and Computer Science

Wim Ruitenburg's Fall 2018 MATH/MSCS 4/5120-101 Homework

Last updated: December 2018
Comments and suggestions: Email   wim.ruitenburg@marquette.edu

All problems apply to both 4120 and 5120 classes unless stated otherwise.

Due date if any Fuchsia means graded homework.

Hy
  • Section 11.4, page 138: 1, 2, 3, 5, 6, 7, 11, 12.
    Section 11.3, page 137: 2, 3, 4, 5, 6, 7, 8, 9, 12, 17, 18.

Hi
  • Section 10.3, page 130: 1, 2, 4, 5, 6, 10, 11, 12, 13, 14.

Ho
  • Section 9.3, page 121: 2, 3 (cong Z2 x Z2), 7, 8, 11, 13, 16, 17, 19, 24, 25, 29, 31, 32 (hard), 38, 39, 41, 42, 55.

Hu
  • Section 6.4, page 78: 1, 2, 5, 6, 8, 9, 12, 15, 16, 17, 18, 19, 21.

31 October
  • Section 5.3, page 69: 2jkm, 5b, 8, 17.

Ha
  • Section 5.3, page 69: 1d, 2p, 3e, 4, 5bc, 8, 9, 13, 16, 20, 21, 23, 25, 29, 30, 31, 35, 36.

Hm
  • Section 4.4, page 54: 1, 2, 3abcegijkm, 4 (nice with matrix calculator), 5, 6, 8, 10, 11, 12, 14, 20, 22a, 23, 24, 25, 26, 28, 30, 31, 33, 34, 44.

26 September
  • Let G be the set of continuous strictly increasing functions from the reals onto the reals, with ordinary function composition as product. Prove that this lets you make a group (with inverse and identity). Answers in hand written form, please.

Uh

Nah
  • Section 3.4, page 39: 1, 3, 4, 6, 7, 8, 10, 11, 14, 17, 18, 25, 26, 27, 31, 32, 33, 34, 35, 36, 38, 41, 42, 43, 45, 46, 48, 49, 51, 53, 54.

No date given
  • Section 2.3, page 24: 1, 5, 6, 9, 10, 11, 12, 15ab, 17b (this is a determinant of something), 27.

A date not given
  • Section 1.3, page 13: 1, 2, 3, 6, 7, 9, 17, 18, 19, 22, 24, 25b, 28.