Discrete Structures

Computer Science 2800
Cornell University
Spring 2012

Note: This is the website for the Spring 2012 course. For the Spring 2013 course website, go to http://www.cs.cornell.edu/courses/cs2800/2013sp/

Instructor: Rafael Pass

Time: MWF 1:25-2:15
Place: Olin Hall 155

Office hour: you can meet me after class, or on Monday’s at 2:20-3:00 in Upson 5139

Course Web page: http://www.cs.cornell.edu/courses/cs2800/2012sp/

Head TA: Karn Seth

Other TAs and Office hours: Staff Page

Course Admin: Maria Witlox (mpr13 at cornell.edu)

Textbook

Pass and Tseng: Lecture Notes in Discrete Structures.

These notes may be updated during the semester.

(Please let me know if you find any typos or mistakes.)

The following textbook is also useful:

Discrete Mathematics and Its Applications, Rosen; McGraw-Hill (6^th edition)

Course Administration

We are using the course management system, CMS.  Please login to http://cms.csuglab.cornell.edu/ and check whether you are registered. There will be a list of courses you are registered for, and Com S 2800 should be one of them.  If not, please send your full name and Cornell netid to Maria so he can register you.  You can check your grades in CMS. 

Homeworks and Grading

There will be 9 homeworks, 2 in-class prelims and a final exam.

• Prelim 1 is on Feb 22
• Prelim 2 is on April 11
• Final exam is at TBA on Friday, May 18th 2012 from 2:00 pm to 4:30 pm

The homeworks can be found in CMS. Graded homework assignments can be picked up in Upson 360 on weekdays during 12pm – 4pm.

Important dates

• HW1 due on Feb 8 (beginning of class),
• HW2 due on Feb 15 (beginning of class)
• Prelim I on Feb 22 (in class)
• Practice problems: Rosen: 2.2.13 (= Section 2.2, #13), 2.3.19, 2.4.35, 8.1.9, 8.5.3, 8.4.29, 1.6.27, 1.7.7, 4.1.31, 4.2.3, 4.3.7
• HW3 due on Feb 29 (beginning of class)
• HW4 due on March 7 (beginning of class)
• HW5 due on March 14 (beginning of class)
• HW6 due on April 6 (beginning of class)
• Prelim II on April 11 (in class)
• Practice problems: Rosen: 3.4.5 (= Section 3.4, #5), 3.5.31, 3.6.23b, 3.7.7, 5.1.31, 5.2.15, 5.3.33, 5.4.7, 7.5.7, 6.1.9
• HW7 due on April 20 (beginning of class)
• HW8 due on April 27 (beginning of class)
• HW9 due on May 4 (beginning of class)
• Final exam is on Friday, May 18th 2012 from 2:00 pm to 4:30 pm
• Practice problems: Rosen: 2.1.9 (= Section 2.1, #9), 2.2.15, 2.3.11, 2.4.37, 8.5.1, 1.6.23, 1.7.17, 4.1.5, 4.2.3, 4.3.9, 3.4.7, 3.5.17, 3.6.23a, 3.7.5, 5.1.35, 5.2.5, 5.3.11, 5.4.21, 7.5.5, 6.1.21, 6.2.23, 6.3.9, 6.4.7, 1.1.27c, 1.2.15, 1.3.9, 9.2.35, 9.3.35, 9.5.39, 9.8.11, 12.3.21, 12.3.31, 12.4.5

Homeworks need to be handed in before the beginning of class.

Late days are granted only under very special circumstances, but to compute the final HW grade, we drop the HW with the lowest score.

To request a regrade, download and print the regrade request form and follow the instructions on it.

Weights: homeworks 30%, mid-terms 2*15% and final 40%.

Homework Policy

You are free to collaborate with other students on the homework, but you must turn in your own individually written solution and you must specify the names of your collaborators. It is a violation of this policy to submit a problem solution that you are unable to explain orally to a member of the course staff. It is a violation of the Academic Integrity Code to copy any one else’s solution.

Syllabus and Reading (subject to change)

1. Sets, Functions and Relations : (Pass-Tseng: Ch 1, Rosen: Ch 2.1-3, 2.4:158-160, 8.1,8.5,8.4:544-548)
2. Proof techniques: (Pass-Tseng: Ch 2, Rosen: Ch 1.6-7, 4.1-2,4.3:294-299)
3. Number theory (Pass-Tseng: Ch 3, Rosen: Ch 3.4-5, 3.6:227-229, 3.7)
4. Counting/combinatorics (Pass-Tseng: Ch 4, Rosen: Ch 5.1-4, 7.5)
5. Probability (Pass-Tseng: Ch 5, Rosen: Ch 6)
6. Logic (Pass-Tseng: Ch 6, Rosen: Ch 1.1-4)
7. Graph theory (Pass-Tseng: Ch 7, Rosen: Ch 9.1-5,9.8)
8. Finite automata and regular languages (Pass-Tseng: Ch 8, Rosen: Ch 12.2-4)

Each module corresponds to 4-5 lectures (i.e., 1.5 week).