Math 411.1Fall 2015 Homework Due September 24 This assignment is due at the start of class on Thursday, September 24. Make sure your name is on the rst page and the pages are stapled together. Proofs should be clear and written in sentences. If you introduce any notation, you must dene it. Do problems 1.5; 1.7; 1.8; 2.1a,b,f,g,i; 2.6; 2.10; 3.4; 3.9; and 3.10 from the textbook. Do the following two problems: 1. Write down the table for the group of symmetries of the rectangle below. a b d c (The corners are labeled to make it easier for you to dene the symmetries.) Make sure you dene your notation and explain how you know you have found all the symmetries. 2. Write down the table for the group of symmetries D4 of the square. You may nd the labeling of the corners below to be useful in dening your notation. a b d c As with the previous problem, make sure you dene your notation and explain how you know you have found all the symmetries. Extra credit problem: Do problem 2.13 from the textbook