Week 6 (9/28-10/4)

Lecture notes

11. Cycle decomposition (finishing)	blanks	full	Textbook: Ch. 5
12. Sign of a permutation	blanks	full	Textbook: Ch. 5
13. Homomorphisms	blanks	full	Textbook: Ch. 10

Midterm Exam 1

• The first midterm exam will be given on Thursday, 10/8, 11:00-12:20 in Math Building 150 (i.e. our usual classroom). The scope of the exam corresponds to sections 1-12 of the lecture notes.

• Exam problems will be similar to homework problems, so reviewing past homework assignments (including practice problems for these assignments) is a good way to prepare for the exam.

• You can bring and use during the exam lecture notes for this course and your own notes (including homework assignments). All notes you bring need to be printed or written on paper. No electronic devices or books are allowed.

• Here is a sample exam. I asked the TA to go over solutions of sample exam problems in the recitation this week.

Homework 6

due: Friday, 10/16, 11:59 PM

• Since the first midterm exam is scheduled next week, this homework is due two weeks from now. However, since the material on even and odd permutations is covered by the exam, you may want to have a look at problems of this assignment that are related to it before the exams.
• Homework 6 problems are posted here.
• Homework solutions need to be submitted though UBLearns.

Note.

• Homework should be submitted as a single pdf file. If you are submitting hand-written solutions, you can scan them to pdf using e.g. Notes app on iPhone or Google Drive app on Android phones. Solution of each problems should start on a new page.
• I will add 20% extra points to your homework score for homework solutions typeset using LaTeX. A zip file with LaTeX homework template is available here, but you are not required to use it to get the extra credit.

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