{"id":1080,"date":"2016-09-23T15:16:01","date_gmt":"2016-09-23T15:16:01","guid":{"rendered":"http:\/\/wordpress.rose-hulman.edu\/rickert\/?page_id=1080"},"modified":"2017-03-27T18:03:26","modified_gmt":"2017-03-27T18:03:26","slug":"ma315-discrete-and-combinatorial-algebra","status":"publish","type":"page","link":"https:\/\/wordpress.rose-hulman.edu\/rickert\/ma315-discrete-and-combinatorial-algebra\/","title":{"rendered":"MA315 Discrete and Combinatorial Algebra"},"content":{"rendered":"

MTRF 8 G222
\n<\/span> John Rickert, Associate Professor of Mathematics
\nOffice:<\/b> G-215A, Crapo Hall
\nPhone:<\/b> (812) 877-8473<\/p>\n

e-mail:<\/b> john.rickert@rose-hulman.edu<\/span><\/u><\/a><\/p>\n

Office hours this week: MTR 7,9, or make an appointment, or drop in.
\nOn some Thursdays I might be proctoring IFYCSEM exams.<\/p>\n

The average score on the final exam was 74.7. You may come to my office and pick-up your exam.<\/p>\n

A sketch of the answers to Quiz #7<\/span><\/u><\/a> is online.<\/p>\n

Please let me know<\/span><\/u><\/a> if I’ve missed anything.<\/p>\n

\n

The main goal in this class is to have you (the student) perform as an active learner. To do this you will need to do the exercises, raise questions about structures that you are studying, create hypotheses and test these hypotheses.
\nThe quizzes, examinations and homework done during the year will be worth 80% of the course grade. The final examination will be worth 20% of the grade.<\/p>\n

\n

 <\/p>\n

Homework<\/h4>\n

To Homework for our next class<\/span> …
\nFor Tuesday 12\/1: Read Section 4.0 and work the exercises in 4.0.1, 4.0.2.
\nFor Thursday 12\/2: Read through section 4.2.2 work the exercises. Think about exercise 4.0.2.1
\nThe average score on Thursday’s quiz was 16.7 out of 20<\/span>
\nFor Friday 12\/3<\/b>: Read Section 4.2.3
\nWork the exercises
\nFor Monday 12\/7<\/b>: Read Section 4.2.4
\nWork the exercises.
\nProve or disprove: Rounding to the nearest 10<\/i> is an equivalence relation over the integers.
\nHow about : Rounding<\/i> is an congruence relation?
\nFor Tuesday 12\/8<\/b>: It was observed that the breakdown into “even” and “odd” permutations is a congruence relation over Sn<\/span><\/sub>. Can you prove this?
\nRead through exercise 4.3.2. Work exercises 4.3.1, 4.3.2. Be sure to be prepared to work exercise 4.3.2
\nFor Thursday 12\/10<\/b>: Quiz #3 on Thursday, Proving equivalence.
\nRead through exercise 4.3.2. Work exercises 4.3.1, 4.3.2. Be sure to be prepared to work exercise 4.3.2
\nFor Friday 12\/11<\/b>: Read through Exercise 4.3.3
\nWork exercise 4.3.3
\nHand in<\/span> exercise 4.3.2
\nFor Monday, 12\/14<\/b>: Read through exercise 4.3.6 (page 189)
\nWork through the work in the reading and do exercises 4.3.4,4.3.5 and 4.3.6
\n For Tuesday, 12\/15<\/b>: Read through Fact 4.6
\n For Thursday, 12\/17<\/b>: Read Through exercises 4.3.8
\nWork exercises 4.3.8.
\n For Friday, 12\/18<\/b> Get a better understanding of cycle index polynomials.
\nHow many symmetries does a cube have? What is the group of rotational symmetries of a cube?
\nHand In Exercise 4.3.8.2
\nFor Monday, January 4<\/b>: Re-read Chapter 4 through exercises 4.3.8 to try to gain a better understanding of the concepts and notations used.
\nExam #1, Monday, January 11, 1999
\n For Thursday, January 14<\/b>: Read section 5.0
\nDo exercises 5.0.1, 5.0.2
\n For Friday, January 15<\/b>: Hand In<\/span> Exam re-write.
\nRead through exercise 5.1.5. Do exercises 5.1.1 – 5.1.5, Especially 5.1.5.
\nFor Monday, January 18<\/b>: Read through exercise 5.1.8. Do exercises 5.1.6, 5.1.7, 5.1.8
\nFor Tuesday, January 19<\/b> Read Section 5.2. Do exercises 5.2.1 and 5.2.2
\nFor Thursday, January 21<\/b>: Read through exercise 5.3.3.
\nDo the exercises.
\nFor Monday, January 25<\/b>: Finish Section 5.3. Hand in<\/span> exercises 5.3.2.4 and 5.3.3.1.
\nFor Tuesday, January 26<\/b>: Read through section 5.4.1.
\nFor Thursday, January 28<\/b>: Read through section 5.4.2
\nUnderstand how errors are detected and corrected using the code CN<\/span><\/sub>.
\nFor Tuesday, February 2<\/b> Work some of the exercises in 5.5.
\nCome to class with questions about the chapter 5 material.
\nThursday, February 4<\/b>: Chapter 5 Exam
\nFor Tuesday, February 9<\/b>: Hand in<\/span> Exam re-write.
\nFor Monday, February 15<\/b>: Read through exercise 6.3.2.
\nQuiz #7 answers<\/span><\/u><\/a><\/p>\n

For Tuesday, February 16: Read through exercise 6.3.6<\/p>\n

\n

 <\/p>\n

Questions from class<\/h4>\n

To today’s questions …<\/span>
\nTuesday 12\/1<\/b>: Problem 4.0.2.1: Is 20 the correct number of equivalence classes? If so, why? If not, why not?<\/span>
\nThursday 12\/3<\/b>: <\/span><\/a>Equivalence relations used on the quiz:<\/span> Two elements are equivalent if…<\/span>
\n<\/a><\/p>\n