CS 215 – Discrete Structure Syllabus

Syllabus – Fall/2018

Instructor Information Name: Gongjun Yan, Ph.D. Contact information:

Room Business and Engineering Building 2046 Evansville, IN 47712, USA Telephone: +1 (812) 228 5073 Fax: +1 (812) 465-1044 Email: gyan@usi.edu

Office hours: MWF 10:00-1:00 Course Information Credit Hours: 3 Pre-requisite and/or Co-requisite: None Course Description Offers an intensive introduction to discrete mathematics as it is used in Computer Science. Topics include functions, relations, sets, propositional and predicate logic, simple circuit logic, proof techniques, elementary combinators, and discrete probability.

Textbook and/or Course Materials Web site: http://collabra.usi.edu/~teaching/discretemath/ (right now only

classroom access, IT people are working on the public access or wireless access.)

Text: Discrete Mathematics and its Applications 7th edition

By Kenneth H. Rosen

Knowledge Areas that contain topics and learning outcomes covered in the course

(per ACM CS Curricula 2013)

USI Course CS215

Description Core-Tier

1 Core-

Tier 2 Elective

DS/SetsRelationsAndFunctions 4

DS/BasicLogic 9

DS/ProofTechniques 10 1

DS/BasicsOfCounting 5

DS/GraphsAndTrees 1

DS/DiscreteProbability 4 1

This course will develop advanced mathematics skills appropriate for students pursuing

STEM studies such as Engineering, Science, Computer Science, and Mathematics.

Topics include sets, numbers, algorithms, logic, computer arithmetic, applied modern

algebra, combinations, recursion principles, graph theory, trees, discrete probability, and

digraphs.

This course earns 3 credit hours and consists of 3 lecture hours per week for 14 weeks.

Discrete Mathematics offered at USI currently meets twice per week for 75 minutes each.

Students are assessed on a combination of homework, quizzes/tests, group activities,

discussion, projects, and a comprehensive final exam. Students are expected to complete

homework assignments

Course Objectives:

Upon successful completion of this course, students will be able to:

• Demonstrate critical thinking, analytical reasoning, and problem solving skills

• Apply appropriate mathematical and statistical concepts and operations to interpret data

and to solve problems

• Identify a problem and analyze it in terms of its significant parts and the information

needed to solve it

• Formulate and evaluate possible solutions to problems, and select and defend the

chosen solutions

• Construct graphs and charts, interpret them, and draw appropriate conclusions

You have taken math courses before and you know that they are cumulative, that is the

material covered in a chapter tends to be applied to material covered in the following

chapters. Therefore, you must keep up with the assignments. Practice problems will be

assigned for each class. It is important to do these assignments in order to understand the

material. The effort that you expend on the assignments will ultimately be reflected in

your exam scores. Mathematics is not a spectator sport. You must do the work in

order to learn the material. You cannot learn by merely watching.

Although attendance will not be taken, the student is responsible for all material

presented in class.

This course supports the expected characteristics, capabilities and skills for computer

science graduates of the USI Computer Science program of study in the following ways:

Mastery of Computer Science technical foundations

Recognition of common Computer Science themes and Principles

Recognition of interplay between theory and practice

Effective problem solving and critical thinking skills

Commitment to life-long learning, and professional and ethical responsibility

Correlation of Program Objectives, Student Learning

Outcomes, and Assessment Methods

Program Objectives Student Learning Outcomes Assessment Methods

Demonstrate critical

thinking, analytical

reasoning, and

problem solving

skills

Recognize, identify, and solve problems using set

theory, elementary number theory, and discrete

probability Recognize, identify, and apply the

concepts of functions and relations and graph

theory in problem solving Apply proof

techniques in logic

Written: Homework

assignments, examinations

in class, and projects to be

completed at home

Verbal: Classroom exercises

and discussion

Apply appropriate

mathematical and

statistical concepts

and operations to

interpret data and to

solve problems

Recognize, identify, and solve problems using set

theory, elementary number theory, and discrete

probability Recognize, identify, and apply the

concepts of functions and relations and graph

theory in problem solving

Written: Homework

assignments, examinations

in class, and projects to be

completed at home

Verbal: Classroom exercises

and discussion

Identify a problem

and analyze it in

terms of its

significant parts and

the information

needed to solve it

Recognize, identify, and solve problems using set

theory, elementary number theory, and discrete

probability Recognize, identify, and apply the

concepts of functions and relations and graph

theory in problem solving Apply proof

techniques in logic

Written: Homework

assignments, examinations in

class, and projects to be

completed at home

Verbal: Classroom exercises

and discussion

Formulate and

evaluate possible

solutions to

problems, and select

and defend the

chosen solutions

Recognize, identify, and solve problems using set

theory , elementary number theory, and discrete

probability Recognize, identify, and apply the

concepts of functions and relations and graph

theory in problem solving Apply proof

techniques in logic

Written: Homework

assignments, examinations in

class, and projects to be

completed at home

Verbal: Classroom exercises

and discussion

Construct graphs and

charts, interpret

them, and draw

appropriate

conclusions

Recognize, identify, and apply the concepts of

functions and relations and graph theory in

problem solving

Written: Homework

assignments, examinations in

class, and projects to be

completed at home

Verbal: Classroom exercises

and discussion

Schedule

Note: * Unites are defined below the table. * This schedule is tentative and may be changed according to the class progress.

Week Slides Assignment / Due Notes

1 Administrivia (Syllabus)

Unit 1, Unit 2

Unit 3, Unit 4

2

Unit4, Unit 5 Homework 1/ DUE: the first class of week 3

Unit 5, Unit 6

3

Unit 6, Unit 7 Homework 2/ DUE: the first class of week 4

Unit 7, Unit 8

4 Unit 7, Unit 8 Homework 3/ DUE: the II class of week 5

Unit 8, Unit 9

5

Unit 10,Unit 11 Homework 4/ DUE: the first class of week 6

Unit 11,Unit 12

6 Q&A&Review Homework 5/ DUE: the first class of week 7

Exam 1 Exam 1

7

Unit 12 Homework 6/ DUE: the first class of week 8

Unit 13

8

Unit 14 Homework 7/ DUE: the first class of week 10

Unit 15

9 Unit 15

Unit 16

10

Unit 16 Homework 8/ DUE: the last class of week 12

Unit 17,

11 Unit 18

Unit 19

12

Q&A&Review Homework 9/ DUE: the first class of week 13

Exam 2 Exam 2

13

Unit 20,Unit 21 Homework 10/ DUE: the first class of week 14

Unit 22

14

Unit 23 Homework 11/ DUE: the first class of week 15

Unit 23

15

Unit 24 Homework 12/ DUE: the first class of week 16

Unit 25

16 Review

Problem solving class

Exam Three Exam Three

Study Units Unit 1

Task 1: Read the following: .Introduction to Discrete Structures .Problem Solving Framework .Problem Solving Example 1

Unit 2

Task 1: Read the following:

.Introduction to Logic

.What is Proposition

.Elements of Propositional Logic

.Truth Table

.Connectives

.Construction of Proposition

.Converse and Contrapositive

These materials can also be found in Textbook 1.1 - 1.3.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 3

Task 1: Read the following: .Implications .English to Logic Translation .From Wff to Proposition .Variations of if_then .From English to Proposition

These materials can also be found in Textbook 1.1 - 1.3.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 4

Task 1: Read the following:

.Introduction to Reasoning

.Identities of Propositions and Dual

.Example of Use of Identities

Reasoning with Propositions Proof of Identities Proof of Implications

These materials can also be found in Textbook 1.1 - 1.3 and 1.7.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 5

Task 1: Read the following: .Why Predicate Logic ? .Predicate .Quantification .Constructing Formulas (Wffs)

These materials can also be found in Textbook 1.4 - 1.6 .

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 6

Task 1: Read the following: .Reasoning with Predicate Logic

These materials can also be found in Textbook 1.4 - 1.8.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 7

Task 1: Read the following: .Quantifiers and Connectives

These materials can also be found in Textbook 1.4 - 1.6.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 8

Task 1: Read the following:

.Introduction to Sets

.Representation of Set

.Equality, Subset, etc.

These materials can also be found in Textbook 2.1-2.2.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 9

Task 1: Read the following: .Mathematical Reasoning .Set Operations .Properties of Set Operation

These materials can also be found in Textbook 1.8 and 2.2, 2.4, 2.6. You must, however, read the Web pages for Mathematical Reasoning(see above).

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

TEST1 : Covers Unit 3 - Unit 9 inclusive. Unit 10

Task 1: Read the following: .Recursive Definition .Generalized Set Operations

These materials can also be found in Textbook 5.1-5.3.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 11

Task 1: Read the following: .Recursive Definition of Function .Recursive Algorithm

These materials can also be found in Textbook 5.1-5.3.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 12

Task 1: Read the following: .First Principle of Mathematical Induction

These materials can also be found in Textbook 5.1-5.3.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 13

Task 1: Read the following: .Example of Use of Induction .Second Principle of Mathematical Induction

Task 2: Do the textbook exercises.

These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

These materials can also be found in Textbook 5.1-5.3.

Task 3: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 14

Task 1: Read the following:

1. Introduction to Relation 2. Binary Relation 3. Definition of Relation (general relation) 4. Equality of Relations 5. Recursive Definition of Relation 6. Operations on Binary Relations

These materials can also be found in Textbook 9.1, 9.3, 9.5.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 15

Task 1: Read the following:

1. Equivalence Relation 2. Order Relation (Partial, Total, and Quasi Orders)

These materials can also be found in Textbook 9.3, 9.5.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Task 3: Read the following: .Order Relation (Minimal Element and the rest)

These materials can also be found in Textbook 7.6 .

Unit 16

Task 1: Read the following: .Definitions on Function .Growth of Functions

These materials can also be found in Textbook 1.8, 2.3 and 3.2.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Task 3: Read the following: .Growth of Functions (Calculation of Big-Oh Relation)

These materials can also be found in Textbook 3.2.

Task 4: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 17

Task 1: Read the following:

.Basics of counting

.The pigeonhole Principle

These materials can also be found in Textbook 6.1 and 6.2.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

TEST2 : Covers Unit 10 – Unit 17 inclusive.

Unit 18

Task 1: Read the following: .Permutation and combination

These materials can also be found in Textbook 6.3.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 19

Task 1: Read the following: .Application of Recurrence relations

These materials can also be found in Textbook 8.1.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 20

Task 1: Read the following: .Inclusion-exclusion

These materials can also be found in Textbook 8.5.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 21

Task 1: Read the following: .Definitions on Probability .Finite probability .Union of probability

These materials can also be found in Textbook 7.1-.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 22

Task 1: Read the following: .Probability Theory .Finite probability

These materials can also be found in Textbook 7.2.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 23

Task 1: Read the following: .Bayes’ Theorem .Applications of Bayes’ Theorem .Expected value and variance

These materials can also be found in Textbook 7.3 and 7.4.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 24

Task 1: Read the following:

.Expected value and variance

These materials can also be found in Textbook 7.3 and 7.4.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Unit 25

Task 1: Read the following: .Tree, Graph and weighted graph

These materials can also be found in Textbook 10.1, 10.4 and 11.1.

Task 2: Do the textbook exercises. These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

Task 3: Review for final exam. FINAL EXAM: Covers Unit 18 - Unit 25 inclusive.

INSTRUCTOR POLICIES AVAILABILITY

The best way to contact me is via Blackboard (BB) Main Forum/Discussion for class

related questions or BB’s e-mail for private communications. I am available during

posted office hours for any questions you may have to enhance your understanding of

course requirements. I am also available for appointments, scheduled in advance, at our

mutual convenience. I will always be available to help you perform to the best of your

ability in this class. To be certain of a meeting, please arrange a time with me in advance.

When this is the case you do not have to be dependent on office hours. We can arrange a

time that works for both of us. Communication can be achieved through email or in

person before or after class. I can also be reached by phone at the number listed above. It

is your responsibility to contact me again if you do not hear from me within 24 hours.

CLASSROOM MANAGEMENT

Blackboard: I use BB as a classroom management tool; you can access BB through MY

USI. I will post announcements, assignments, syllabus, schedules, and other

communications on BB; you are expected to check the site regularly for such

communication. You will also be able to check your grade(s) via BB.

Mail sent to students via BB will automatically go into student mailbox @ eagles.usi.edu.

If this is not your preferred mailbox or email address you should have your mail.usi.edu

mail redirected to your preferred email address. You can make these changes inside MY

USI. You should understand that any email sent to you from campus/USI based

technologies will go to your mail.usi.edu address (unless redirected); therefore, IT IS

VERY IMPORTANT that you understand how to redirect your email to an address that

you check regularly. Students in my classes are responsible for insuring that email is

being delivered to an email location that is checked regularly. Failure to check and

therefore receive email from me is NOT a valid excuse.

Where to submit Assignments: There are two ways you can submit your assignment: 1)

paper copy to me in classroom. 2) BB’s Assignment link is where you will submit all

assignments. Locate the link and submit your assignment as an attachment. In the event

you are unable to access the Assignment link, e-mail your assignments to me via BB e-

mail system. In the event that you are unable to access Blackboard, please call IT Support

and get a ticket number. When Blackboard is available, post your assignment under the

Assignment Tab and notify me of the IT-help ticket number. All assessments will be

available and to be completed in class via BB, unless informed otherwise.

Right to change information Although every effort has been made to be complete and accurate, unforeseen

circumstances arising during the semester could require the adjustment of any material

given here. Consequently, given due notice to students, the instructor reserves the right to

change any information on this syllabus or in other course materials.

Grading

The course grade will contain the following components:

(Note that these percentages are only approximate and are subject to change, but by no

more than 10%.)

Class Participation 5%

Assignments 50%

Exam 1 15%

Exam 2 15%

Exam 3 15%

The grading scale is as follows (+ and - modifiers will be applied as appropriate):

90-100 A

87-89 B+

83-86 B

80-82 B-

77-79 C+

73-76 C

70-72 C-

67-69 D+

63-66 D

60-62 D-

0-59 F

Late Submissions

Any assignment submitted after its deadline is considered late. Assignments that are

submitted within 24 hours after the original deadline are considered to be "one day late,"

within 48 hours "two days late," etc. Weekends count just like weekdays in determining

the number of days late.

Five percent (5%) of the assignment's total value will be deducted for each day an

assignment is late. Assignments will not be accepted after they are more than 3 days late.

I reserve the right to specify that late submissions will not be accepted for any

assignment.

Turned in less than

or equal to... Penalty

24 hours (1 day) late - 5%

48 hours (2 days) late - 10%

72 hours (3 days) late - 15%

etc. etc.

Course Policies and Responsibilities

The time to ask questions is during class. Please participate actively. You are responsible

for knowing and following University regulations. This includes such areas as

withdrawals, incompletes, pass/fail options, and ethics. Start early in case the unforeseen

happens near grading dates (disk failure, working overtime, or whatever). Make backup

copies as needed.

Exams will cover the material in the text (mostly) and lectures (some questions not in the

readings). Graded items missed for a valid reason are handled by taking a makeup.

Makeup exams will use your individual score to calculate both individual and team

components of the exam value (9% & 6% respectively).

Learning computing skills is supported by in-class small group activities, but you will

likely need to devote additional time towards building proficiencies prior to being graded

on individual skills. This is your homework assignment, after readings are done.

Academic Integrity Please refer to the statement on academic integrity of the university. Cheating is ZERO

tolerance. Any evidence of cheating will result in a 0 grade for the assignment/exam, and

the incident will be submitted to the department for further review.

Attendance

I expect you to attend class and to arrive on time. Your grade may be affected if you are

consistently tardy. If you have to miss a class, you are responsible checking the course

website to find any assignments or notes you may have missed. Students may leave after

15 minutes if the instructor or a guest lecturer does not arrive in that time.

Exams There are Three in-class exams. The format of the exams may include any combination

of multiple choice, short answer, essay, and problem solving questions. Exams will

include materials from the textbook, reading assignments, handouts and classroom

discussion.

There is No Make-up exam for this class. In extreme cases, students might be permitted

to replace the grade for the missed exam by overall course grade. However, in these

extreme cases, students should receive PRIOR permission to be absent during the regular

exam period. Such permission will be granted only if the student demonstrates a strong

need. Any uncoordinated absence from an exam will result in a score of 0 for the exam.

Students are responsible for preparing the exams and exam material.

Assignments Homework will be turned in based on due time. Homework is due at the beginning of

class (or discussion section) the day it is due. At the beginning means before or within the

first 10 minutes of class. If you are later than 10 minutes to class without an excused

absence (as

described below) your homework will not be accepted. Late penalty for homework is 10%

each day.

There are more than TEN assignments. I only include the highest TEN assignments in

the final grades.

You must work alone on your homework, and homework must be written legibly, single-

sided on your own lined paper, or typed, with the answers clearly labeled and in the

sequential order as assigned. You must write your name and university ID number in the

upper right-hand corner of your homework. Staple all pages together and be sure that

your name appears on every sheet.

Class Participation

The grading for the class participation includes: 1) class attendance (50%); 2) assignment submission (20%); 3) class discussion (20%); 4) discussion offline by email or other ways (10%).

Email

Students should activate their USI e-mail accounts and check them every day. If a student

chooses to have his/her messages forwarded to another account, it is the student's

responsibility to take the necessary steps to have them forwarded.

Classroom Conduct

Please be respectful of your classmates and instructor by minimizing distractions during

class. Cell phones must be turned off during class. Disruptive classroom behavior will not

be tolerated. This includes unnecessary chatting, text messaging, the use of a cell phone

during lecture/exams, etc. Be respectful of the learning environment.

Make-up Work

Make-ups for graded activities are possible only with a valid written medical or

university excuse. It is the student's responsibility to give the instructor the written excuse

and to arrange for any makeup work to be done.

Cell phones, electronic devices, and calculators.

Please turn off or silence your cell phone during class. The use of cell phones, ipods,

MP3 players, or any other electronic devices will be strictly forbidden during the exams

and during lectures. Only non-programmable calculators will be authorized during exams.

Seeking Help

The course website should be your first reference for questions about the class. The

schedule will be updated throughout the semester with links to assigned readings.

Announcements and frequently asked questions (FAQ) will also be posted to the course

website.

The best way to get help is to come to office hours. If you cannot make office hours,

please send an email to setup an appointment. I am available via email, but do not expect

or rely on an immediate response.

University Statements

Title IX – Sexual Misconduct USI does not tolerate acts of sexual misconduct, including sexual harassment and all

forms of sexual violence. If you have experienced sexual misconduct, or know someone

who has, the University can help. It is important to know that federal regulations and

University policy require faculty to promptly report incidences of potential sexual

misconduct known to them to the Title IX Coordinator to ensure that appropriate

measures are taken and resources are made available. The University will work with you

to protect your privacy by sharing information with only those who need to know to

ensure we can respond and assist. If you are seeking help and would like to speak to

someone confidentially, you can make an appointment with a counselor in the University

Counseling Center. Find more information about sexual violence, including campus and

community resources at www.usi.edu/stopsexualassault.

Disability Accommodations for on-campus courses

If you have a disability for which you may require academic accommodations for this class, please register with Disability Resources (DR) as soon as possible. Students who have an accommodation letter from DR are encouraged to meet privately with course faculty to discuss the provisions of those accommodations as early in the semester as possible. To qualify for accommodation assistance, students must first register to use the disability resources in DR, Science Center Rm. 2206, 812-464-1961, www.usi.edu/disabilities. To help ensure that accommodations will be available when needed, students are encouraged to meet with course faculty at least 7 days prior to the actual need for the accommodation. However, if you will be in an internship, field, clinical, student teaching, or other off-campus setting this semester please note that approved academic accommodations may not apply. Please contact Disability Resources as soon as possible to discuss accommodations needed for access while in this setting. Disability Accommodations for online/Distance Education courses If you have a disability for which you may require academic accommodations for this class, please contact Disability Resources at 812-464-1961 or email Ronda Stone at rfstone@usi.edu as soon as possible. Students who are approved for accommodations by Disability Resources should request their accommodation letter be sent to their online instructors. Due to the nature of online courses some accommodations approved for on campus courses may not apply. Please discuss this with Disability Resources to clarify as needed. Students who receive an accommodation letter from Disability Resources are encouraged to discuss the provisions of those accommodations with their professors before or during the first week of the semester. If you will be in an internship, field, clinical, student teaching, or other off-campus setting this semester please note that approved academic accommodations may not apply. Please contact Disability Resources as soon as possible to discuss accommodations needed for access while in this setting. For more information, please visit the Disability Resources website at www.usi.edu/disabilities.