ࡱ> #` 0bjbj 5v(2:@:@:@8r@T@\2˿f.BpBBBBCCCJLLLLLL$1hprGCCrGrGpBBEHKHKHKrGxBBJHKrGJHKHKDvB"B @bߌN:@H2PL0˿1I1vv\1ҹ,CDHKEFkCCCppJdCCC˿rGrGrGrG222d '222'222 CS 23022 Section 600 Discrete Structures for Computer Science Dept. of Computer Science Kent State University Stark Spring 2008 TR 2:00 PM - 3:15 PM Room MH 213 Professor: Dr. Angela Guercio Office: 424, Main Hall Phone: 330 244 3424 (KSU ext 53424) Best way to contact me:  HYPERLINK "mailto:aguercio@cs.kent.edu" mailto:aguercio@kent.edu Office Hours: TR 10:00am - 10:50am 3:25pm - 5:15pm 7:00pm - 7:30pm other times are available by appointment Class Webpage:  HYPERLINK "http://www.personal.kent.edu/~aguercio/Spring08/CS23022Sp08.html" http://www.personal.kent.edu/~aguercio/Spring08/CS23022Sp08.html Useful Information: In case of an emergency please contact the security on campus. I recommend that you program into your cell phone the following numbers: Security on campus: #53123. Security cell phone (330) 705-0430. Required Text: Gary Haggard, John Schlipf, Sue Whitesides, Discrete Mathematics for Computer Science, Thomson Brooks/Cole, 2006. ISBN 0-534-49501-X Course Description and Objectives This course will introduce you to the discrete mathematics from the perspective of a computer science scientist. The course focuses on Sets, Relations, Formal Logic, Functions, Analysis of Algorithms and Graph Theory. The objectives of the course is to develop the ability to follow and write mathematical proofs and to strengthen the algorithmic thinking. Prerequisite: CS 10051, MATH 12001 or MATH 11022 or appropriate placement test score into MATH 12002 Online access The webpage of the class is at  HYPERLINK "http://www.personal.kent.edu/~aguercio/Spring08/CS23022Sp08.html" http://www.personal.kent.edu/~aguercio/Spring08/CS23022Sp08.html. The class webpage contains copy of this syllabus. Reading assignments as well as homework or important class information will be posted on the class webpage. Please, CHECK THE CLASS WEBSITE REGULARLY!!! Class Requirements and Expectations Class attendance is REQUIRED. There tends to be a strong correlation between class attendance and grade performance. If you will miss a class or a lab, let me know ahead of time. In any case, you are responsible for bringing yourself up to date on class material and assignments. Since class participation and regular attendance are part of the final grade, if you miss more than 5 classes without a documented reason or without making prior arrangements with me, your final grade will be dropped one grade (A to B, B+ to C+ and so on). Health professional's excuse has to be presented to me in order to excuse an absence. Reading ahead is required. The reading for the next class is posted on the class webpage. You should read the material before class and again after the class. Regular study of the material is REQUIRED. What to expect to find in your computer science class The class should be interactive. In-class exercises are designed to encourage participation. There will be cooperation between you and I, open discussions about problems and possible solutions. You are responsible for taking good notes. You will present proofs to other students, your will participate in group activities and collaborative learning will be used to discuss possible solutions to problems as well as to provide critical observation to problem solutions. Formal and informal groups will be formed in class to work together. In some cases, you will be required to work on your own. In those cases, I expect an appropriate academic behavior from you. Exchange of information, when forbidden, will not be tolerated. Expect to commit some times to practice problems. You will find that the reading will go very slow and that you need to reread the material several times before you master it. The Secret Key (not so secret after all!) of how to succeed in this class is: work conscientiously and do all the homework that has been assigned; extrapolate from the examples provided to you, techniques and answers to problems; spend several hours practicing; be alert and participate in class discussions; learn from other people mistakes; Think! Use your logic and be critical of your own work. attend the class and read the material ahead of time; spend time studying the theoretical concepts. Memory helps, but it is practice that reinforces the understanding of the theory; do all the above consistently through the whole semester, be confident about what you are doing and dont be afraid to ask for help; Think, think, think and enjoy! I am very confident that you can make the above commitment and that you can maintain it during the semester. I am sure that you have all the ability to be successful! Homework (15%) There will be approximately 6-7 homework Do not procrastinate! Homework should be started immediately. You will find out the it requires more time that you have planned! Homework are due before or at the beginning of class. Late assignments, will get a 5 points penalty per day including those returned after the beginning of class. Exams (75%) There will be 4 Exams and a final exam. All exams are closed books, closed notes. Retake exams are not available. Make-up exams will only be given in case of serious need (written verification for your inability to take an exam is requested) and only when I have been notified prior to the exam being issued, otherwise you are considered absent for that exam and the grade of your exam is automatically 0. Therefore, if you have to miss an exam, please come talk to me to justify your absence. Pop Quizzes (10%) Pop Quizzes will be issued. The date of the quiz will NOT be announced. A pop quiz is held during the first 10 minutes of the class. Late students will not be given extra time to complete the quiz. No late quizzes will be accepted; no make-up quizzes. Grading Homework 15% Penalty for late work: 5 points a day Pop Quizzes 10% Exam 1 15% Exam 2 15% Exam 3 15% Exam 4 15% Final Exam 15% PointsGrade92.5-100 89.5-92.4 87-89.5 82.5-86.9 79.8-82.4 77-79.8 72-76.9 70-72 60-69.9 00-59.9A A- B+ B B- C+ C C- D F Even though I have never found it necessary to change the grading distribution and the number of assignments and exams specified in the syllabus during the semester, I reserve the right to change the method of assigning grades, including changing the number of assignments or exams if I consider it necessary. Academic Honesty Policy When assignments must be individually and independently done, if some students turn in substantially the same solution or program of another student, in my judgment, the solution will be considered a group effort. All involved in the group effort homework will receive a zero grade for that assignment. Remember that the use of the intellectual property of others without attributing it to them is considered a serious academic offense. Cheating or plagiarism is considered a serious academic offense and will result in receiving a failing grade for the work of the course. Repeated offenses result in dismissal from the University. Conduct Students and faculty behavior at the Stark Campus is governed by the guidelines set forth in The Digest of Rules and Regulations. That document can be found in the University telephone directory. Information can be found at the Office of Judicial Affairs at  HYPERLINK "http://www.kent.edu/administration/emsa/judicial.cfm" http://www.kent.edu/administration/emsa/judicial.cfm. Policy on academic dishonesty involving programming can be found at  HYPERLINK "http://www.cs.kent.edu/programs/grad/DishonestyPolicy.pdf" http://www.cs.kent.edu/programs/grad/DishonestyPolicy.pdf. Recycling KSU Stark Campus recycles. Recycling saves energy, which is currently generated by expensive and vanishing fossil fuels. Recycling one aluminum can saves enough energy to run a TV for three hours! Please take a few seconds to separate your trash. Aluminum cans and plastic and glass bottles may be placed in the blue recycling bins, and all types of paper may be placed in the blue recycling trash cans.All other waste may be placed in the black, brown or gray trash cans. Students with Disabilities Kent State University recognizes its responsibility for creating an institutional climate in which students with disabilities can succeed. In accordance with university policy, if you have a documented disability, you may request accommodations to obtain equal access and to promote your learning in this class. Please contact the disability coordinator on campus, Kelly Kulick in Student Accessibility Services, located in the Student Success Center, lower level of the Campus Center, phone (330) 244-5047, or  HYPERLINK "mailto:kkulick@kent.edu" kkulick@kent.edu. After your eligibility for accommodations is determined, you will be given a letter, which when presented to instructors, will help us know best how to assist you. Important Dates to Remember: Last day to withdraw before grade W is assigned, is Jan 27, 2008 Last day to drop the class is March 30, 2008 Exam 1 is Thursday, Feb 14 Exam 2 is Thursday, Feb 28 Exam 3 is Thursday, March 27 Exam 4 is Thursday, April 10 Final Exam is Tuesday, May 6 (1:00pm 3:00pm) Spring Recess: March 17 March 23 Classes End: May 4, 2008 Tentative Outline of the Course Jan 15Introduction to the Course - SetsJan 17Operation on SetsJan 22Proof TemplatesJan 24The Principle of Inclusion-ExclusionJan 29Mathematical InductionJan 31Application of Induction - RecursionFeb 5Program CorrectnessFeb 7Strong Form of Mathematical Induction and ApplicationFeb 12Exam 1Feb 14Introduction to Propositional LogicFeb 19Truth and Logical TruthFeb 21Normal FormsFeb 26Predicates and QuantificationFeb 28Exam 2Mar 4Relations Definitions and OperationsMar 6Special Types of RelationsMar 11Equivalence RelationsMar 13Ordering RelationsMar 25Relational DatabasesMar 27Exam 3Apr 1Functions Basic DefinitionsApr 3Operations on Functions Inverses of functionsApr 4Sequences and SubsequencesApr 8Countable and Uncountable Sets Power SetApr 10Exam 4Apr 15Analysis of AlgorithmsApr 17Computability and UncomputabilityApr 22Graph Theory Path and CyclesApr 24Connected Graphs Graphs visitApr 29Trees Spanning TreesMay 1Review and PracticeTuesday, May 6 1:00pm3:00pmFinal Exam      PAGE 2  ?@uvw   D E F ^ _ 䵱䵱ॵ䞭䚞ulhyh 0Jjhyh Ujhyh U hyh  h 5hl" hl"hl"hX$huh:thglh7I h7Ih7Ih7uKh7I6CJ ]aJ h7I6CJ ]aJ hlhlhlh/~ihlCJ,aJ,h:tCJ,aJ,h/~iCJ,aJ,*@Zvw ` o t $ & F$a$gd  $ & F$a$gd  ^gd7I & F$gd gdl"gdl"gdl"gdu gd7Igd7I $a$gdlv00_ n o q , . / 0 p q r s t u v w x    º稺瘐oeXeXeh@ hjrOJQJaJhjrOJQJaJ#hjr0JB*CJOJQJ^Jph hjr5hjr hjraJhlhl5 hlhlhKh7I0Jjh7IU h7Ih7Ijh7IUh h 5h hyh 5h7Ih7I5\ hyh7Ih7I h7I5\h7Ih 5 h 5 t u v w x   5 \ ^ _ ` a r $`a$gd2$^`a$ $`a$gdjr `gdjr ^gdjr $a$gdjr $`a$gdjr$`&dP^``a$gdjr $^a$gdjr ( ) + , 4 5 J Y [ ] ^ _ ` q r   A  / 5 @ M j ~ Ɛh7uKh.h]Bh8u h8u5h/~ih`hwzh`56\]hwz56\] hwz5\ h`\ h25 h/~i5 hjr5hjr hjraJh@ hjrOJQJaJhjrOJQJaJhG}hjr5OJQJaJ2r  tu   $^a$gd $ & F#a$gd.$ & Fa$ $ & F'a$gd2 $a$gd2 $`a$gd2 $`a$$|^`|a$ $^a$gd2 "bdefO/J'(^_z  #μҳګxڣ hHSAh.hHh.OJQJaJh.OJQJaJh}h.>* h.>*h2h.5h.hUhKh7I0Jj"h7IU h7Ih7Ih7Ijh7IUh/~ih2hwz5 h25 hwzhwzhwzhwz5 h/~i5, &+7 (ikprw|,-69;<e韚şhr h256>*B*phh2 h5h!h25hS.Qh/~iCJ$aJ$hS.Qh*5CJaJh*5hS.Q h25 h/~i5>* *h/~i hhHvihHvihh! h/~i5h/~ih.h#q<h.5>*3  +~$ & F ,^a$ $^`a$$^a$$a$ $ & Fa$gdHvi $^a$gd! $ & Fa$gdGv$h^ha$$^a$ $ & Fa$gd.(^d,-<  $^a$gd2$ & Fa$ $ & F%a$gd2 $`a$gd2 $^`a$$^a$$^a$ & F ,^gdS.Q & F ,^ Ŀɻɑ~w~soh$>hHvi hg56 h/;56h/;h# hxhh%*h%*5 h%*h%* h%*5h/~i56\]h%*hh/~i h25 h5 h/~i5hr h25>*hr h25>*CJ]aJhr h25>*CJaJh2 hmvh2+ !$^`a$gd$>$^`a$gdg$^`a$gdx$^`a$gd%* $`a$ $ & F&a$gd%*$^`a$gd%*$^a$$ & Fa$!%58=IKNOkmstuxy{ l#m#n#v#####x$y$$$$$$$$νζήΧΜhy"hjr0JjhjrU h0\hjrjhjrU h9hjr hjr6 hjr\ h@ghjrhjr hjr5hF? 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