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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: [email protected]
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%).
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 [email protected] 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.