JHR's MA275 page

MA275
Discrete and Combinatorial Algebra

MTRF 6 O169
John Rickert, Associate Professor of Mathematics
Office: G-215A, Crapo Hall
Phone: (812) 877-8473

e-mail: rickert@rose-hulman.edu

Office hours this week: MTRF 7, or make an appointment, or drop in. Here's my schedule

The final exam starts Wednesday, November 16, at 1:00PM in G310


To Homework ...Questions
Homework for our next class ...Today's questions
For Friday, September 2: Section 1.2 #1,7,11,14,15,17,26,31,39. Turn in these exercises on Monday.
The in-class questions to consider are available on ANGEL.

For Monday, September 5: Section 1.3 #1,6,9,14,16,17,23,27,32. Turn in these exercises on Thursday.
Turn in the Section 1.2 Exercises.
For Thursday, September 8: Section 1.4 #1,7,10,16,22,25,27. Turn in these exercises on Monday.
Turn in the Section 1.3 Exercises.
For Friday, September 9: Section 1.5 #1,4,7,9,11. Turn in these exercises on Monday.
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For Monday, September 12: Turn in the Section 1.4 amd 1.5 homeworks.
Section 2.1 #3,5,6,8,17. Turn in these exercises on Tuesday.
For Tuesday, September 13: Turn in the Section 2.1 exercises.
Section 2.2 #1,6,9,14,15. Turn in these exercsies on Friday, September 16.
For Thursday, September 15: Memorize the Laws of Logic listed on pages 58-9 of the book. Memorize the Rules of Inference listed on Page 78 of the book.
For Friday, September 16: Turn in the Section 2.2 exercises.
Section 2.3 #5,7,11,12. Turn in these exercises on Monday.

For Monday, September 19: Turn in the Section 2.3 exercises.
Section 2.4 #1,4,9,21.
For Tuesday, September 20: Quiz through Section 2.3. Yes, you must cite the Laws/Rules by name.
Section 2.4 #8,14,16,22; Section 2.5 #5.
Fir Thursday, September 22: Section 2.5 #9,14,15,19,21. Turn in these exercises on Monday.


Friday, September 23: We are on a convo schedule. Class meets 11:50-12:30.
Do Exercises 2.5 #17,23; page 121 #15. Turn in these exercises on Monday.

For Monday, September 26: Turn in the section 2.5 and page 12 exercises discussed Thursday and Friday.
Section 3.1 #1,5,19.
For Tuesday September 27: Section 3.2 #1,4,6,15,16,19.
For Thursday, September 29: Study for the exam. Review Sections 1.1-3.2.
Friday, September 30: Exam #1. The average score on the exam was 736.8. Equivalent grades are A 850-985 B 700-849 C 550-699 D 400-549 F <400..
For Tuesday, October 4: Section 3.3 #1,4,6.
For Thursday, October 6: Section 3.3 #5,9; Section 3.4 #1,5,6,9,11,14.
Consider the question: Let P(En) represent the probability that a random permutation of n distinct objects produces a derangement. Determine the limit of P(En) as n increases without bound (goes to infinity).
For Friday, October 7: Section 3.5 #1,4,7,9,14. Turn in theseexercises on Monday.

For Monday, October 10: Turn in the Section 3.5 Homework exercises.
Section 4.1 #1.
For Tuesday, October 11: Section 4.2 #23,6,8,12,16.
Monday, October 17: Quiz on Mathematical Induction. Equivalent grades on the quiz are A 36-40 B 32-35 C 28-31 D 24-37 F <24.
Section 4.2 #1,7,11,12,14,18.
Tuesday, October 18: Section 4.3 #4,9,10,13. Turn in these exercises on Thursday, October 27.
For Thursday, October 19: Section 4.3 #17,29. Turn in these exercises on Thursday, October 27.
Friday, October 21: Exam #2.
For Tuesday, October 25: Section 4.4 #1,4,6,12,14,17. Find positive integers a and b with no more than 7 digits so that it takes at least 13 iterations of the division algorithm to produce the greatest common divisor. The Maple file used in class should be available on ANGEL.
For Thursday, October 27: Turn in Section 4.3 #4,9,10,13,17,29.
Section 4.5 #3,5.
For Friday, October 28: section 4.5 #8,11,15,18,27.
For Monday, October 31: Section 5.1 #1,3,6,8,13.
For Tuesday, November 1: Section 5.2 #1,5,8,14,22,27.
For Thursday, November 3: Do the November 1 worksheet, available on ANGEL.

Friday, November 4: Exam #3.

For Monday, November 7: Section 5.3 #1,3,10,15,18.
For Tuesday, November 8: Section 5.5 #2,9,11,14,16,20.
For Thursday, November 10: Section 5.6 #1,3,9,12,22.

Please let me know if I've missed anything. To the top

Questions from class

To today's questions ...the top
Question from Tuesday, October 4: Consider the question: Let P(En) represent the probability that a random permutation of n distinct objects produces a derangement. Determine the limit of P(En) as n increases without bound (goes to infinity).
Question from Tuesday, October 11: Consider the Fibonacci sequence F1=1, F2=2, Fn = Fn-1+Fn-2 for all n>2.
For some values of n>3 show that there exists a positive integer d so that d divides Fn*k for all positive integers k.

The final exam is 36% of the course grade. Homework, quizzes and exams constitute the other 64%.

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