CSCI13680-01 Course Syllabus

Discrete Structures in Computer Science, Fall 2020

Online WebEx <>


Name:              Dr. Yao
Office:             Atkinson Hall 317

Telephone:      (478) 445-5483

Online Office Hours at WebEx <>

·      8:00 A.M.-9:20 A.M., 10:50 A.M.-12:00 P.M. on Tuesday and Thursday

·      Emails that are not urgent only will be answered during the office hours

Online WebEx <>

CSCI3680-01 (CRN: 80557):          

12:30PM – 01-15PM; T, R

            04:00PM – 04:50PM; T


“Mathematical Structures for Computer Science –Discrete Mathematics and Its Applications”, seventh Edition, 2014, by Judith Gersting.   

PREREQUISITE: C or better in CSCI 1302 and Math 1113 (or approval of professor).


This course serves the objective of learning an intensive introduction to discrete mathematics as it is used in computer science.

This course 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, cryptography, discrete probability, graphs and trees, and understand basic Finite-State Machines, Turing Machines, and Formal Languages.




Students will be able to:

  • Explain with examples the basic terminology of functions, relations, and sets.
  • Perform the operations associated with sets, functions, and relations.
  • Relate practical examples to the appropriate set, function, or relation model, and interpret the associated operations and terminology in context.
  • Demonstrate basic counting principles, including uses of diagonalization and the pigeonhole principle.
  • Apply formal methods of symbolic propositional and predicate logic.
  • Describe how formal tools of symbolic logic are used to model algorithms and real-life situations.
  • Use formal logic proofs and logical reasoning to solve problems such as puzzles.
  • Describe the importance and limitations of predicate logic.
  • Outline the basic structure of and give examples of each proof technique described in this unit.
  • Discuss which type of proof is best for a given problem.
  • Relate the ideas of mathematical induction to recursion and recursively defined structures.
  • Identify the difference between mathematical and strong induction and give examples of the appropriate use of each.
  • Apply the tools of probability to solve problems such as the Monte Carlo method, the average case analysis of algorithms, and hashing.
  • Understand cryptography
  • Understand basic graph and Trees
  • Understand basic Finite-State Machines, Turing Machines, and Formal Languages



·      SO1: Apply computer science theory and software development fundamentals to produce computing-based solutions.


·      Formal Logic: Statements, Symbolic Representation, and Tautologies

·      Formal Logic: Propositional Logic, Quantifiers, Predicates, and Validity

·      Formal Logic: Predicate Logic, Logic Programming

·      Proof Techniques

·      Induction Recursion and Recurrence Relations

·      Analysis of Algorithms

·      Sets

·      Counting

·      Principle of Inclusion and Exclusion

·      Pigeonhole Principle

·      Relations

·      Topological Sorting

·      Relations and Databases

·      Functions

·      Matrices

·      Graphs and Their Representations

·      Trees and Their Representations

·      Cryptography

·      Decision Trees

·      Huffman Codes

·      Boolean Algebra and Computer Logic

·      Modeling Arithmetic

·      Computation and Languages

·      Finite-State Machines

·      Turing Machines

·      Formal Languages


                                             Percentage           Date
         Weekly Quiz               40%                   Tuesday, 4:00PM – 4:50PM
         Final Exam                  60%                   Friday; Dec 4, 2020; 10:30AM-12:45PM       

Quizzes and exam are On D2L with WebEx <>


         Total                               100%

      Grade              Percentage
        A                90% and up
        B                80% - 89.99%
        C                70% - 79.99%
        D                60% - 69.99%
        F                59.999% or less  


·       You are expected to read the textbook prior to and after class.

·       Class participation is essential in learning computer technology.  It is your responsibility to attend the class in order to achieve good learning, therefore obtain a good grade. 

·       You must NOT miss a test (a quiz or an exam) unless you have a verifiable excuse.  An unexcused absence from a test will result in a numerical grade of zero for that test.

·       Your grades are updated on a regular basis on D2L throughout the semester.    


The integrity of students is a critical component of the academic process.  All written work submitted in this course must be individual work unless the instructor assigns a team of students to work on an assignment. Students must properly document all outside sources used for projects, programs, and homework. The submission of another’s work as one’s own is plagiarism, and will be dealt with using the procedures outlined on the Undergraduate Catalog.



Week One           Formal Logic: Statements, Symbolic Representation, and Tautologies

Week Two           Formal Logic: Propositional Logic, Quantifiers, Predicates, and Validity

Week Three         Formal Logic: Predicate Logic, Logic Programming, Proof of Correctness

Week Four          Proof Techniques

Week Five           Induction Recursion and Recurrence Relations, Analysis of Algorithms

Week Six             Sets, Counting, Principle of Inclusion and Exclusion, Pigeonhole Principle

Week Seven        Relations, Topological Sorting, Relations and Databases

Week Eight          Relations, Topological Sorting, Relations and Databases

Week Nine          Functions, Matrices

Week Ten            Graphs and Their Representations, Trees and Their Representations

Week Eleven       Graphs and Their Representations, Trees and Their Representations

Week Twelve      Decision Trees, Huffman Codes

Week Thirteen     Modeling Arithmetic, Computation, and Languages

Week Fourteen    Finite-State Machines

Week Fifteen       Turing Machines

Week Sixteen      Formal Languages 


·      Fall Break: None

·      Oct. 9, 2020 (5 PM) is the last day to drop without academic penalty (Unless if maximum number of dropped courses has been exceeded)

·      Thanksgiving Holidays (Nov. 25-27, 2020)

·      Last Day of Classes: NOV. 24, 2020

·      Final Exam Week: Dec. 1, 2020 – Dc. 4, 2020



OR as follows:


The intellectual property of class assignments and other materials developed using university resources that are commercialized are reviewed under the USG and GC policies to determine ownership and/or payment rights. USG policies can be found at and GC policies can be found at


If you have a disability as described by the Americans with Disabilities Act (ADA) and the Rehabilitation Act of 1973, Section 504, you may be eligible to receive accommodations to assist in programmatic and physical accessibility. Disability Services, a unit of the GCSU Office of Institutional Equity and Diversity, can assist you in formulating a reasonable accommodation plan and in providing support in developing appropriate accommodations to ensure equal access to all GCSU programs and facilities. Course requirements will not be waived, but accommodations may assist you in meeting the requirements. For documentation requirements and for additional information, we recommend that you contact Disability Services located in Maxwell Student Union at 478-445-5931 or 478-445-4233.


Given the technological sophistication of Georgia College students, the student opinion survey is being delivered through an online process. Your constructive feedback plays an indispensable role in shaping quality education at Georgia College. All responses are completely confidential and your name is not stored with your responses in any way. In addition, instructors will not see any results of the opinion survey until after final grades are submitted to the University. An invitation to complete the online opinion survey is distributed to students near the end of the semester. Your participation in this very important process is greatly appreciated.


Fire drills will be conducted annually. In the event of a fire alarm, students will exit the building in a quick and orderly manner through the nearest hallway exit. Learn the floor plan and exits of the building. Do not use elevators. If you encounter heavy smoke, crawl on the floor so as to gain fresh air. Assist disabled persons and others if possible without endangering your own life. Assemble for a head count on the front lawn of main campus or other designated assembly area.


Students are permitted to miss class in observance of religious holidays and other activities observed by a religious group of which the student is a member without academic penalty. Exercising of one’s rights under this policy is subject to the GC Honor Code. Students who miss class in observance of a religious holiday or event are required to make up the coursework missed as a result from the absence. The nature of the make-up assignments and the deadline for completion of such assignments are at the sole discretion of the instructor. Providing verifiable proof of the religious affiliation and activities are at the sole discretion of the instructor as well.  Failure to follow the prescribed procedures voids all student rights under this policy.

COVID-19 Syllabus Statement-Fall 2020


Georgia College is committed to maintaining a safe and healthy learning environment for all students, faculty, and staff.  Encompassed in our campus values of Reason, Respect, and Responsibility is the expectation that every member of the university community will follow specific guidelines to ensure the health and safety of everyone on campus. 


Consistent with CDC and State of Georgia guidelines and directives from the University System of Georgia, Georgia College requires masks in all Georgia College indoor facilities and in outdoor campus areas where social distancing is not possible. In our modified face-to-face learning environment, you will be socially-distanced in assigned seats and wear the required CDC-approved face coverings. Face coverings will be used in addition to social distancing. 


Below are additional considerations to mitigate the spread of COVID-19:


·       All classrooms have been evaluated and arranged to achieve the required social distancing guidelines.  Students should not move the furniture since that will disrupt our institutional plan for health and safety.  


·       Everyone must follow proper social distancing and personal hygiene measures. This includes: maintaining at least 6 feet of spatial distancing from others, washing your hands frequently for at least 20 seconds, utilizing hand sanitizer, covering your cough and sneeze with a tissue or the inside of your elbow, and avoiding close contact and congested areas without face masks.  Anyone not using a face covering when required will be asked to wear one or must leave the area.


·       Avoid congregating in commonly trafficked areas such as hallways, bathrooms, and common spaces to reduce people density at any given time.


·       Exit the classrooms in an orderly and physically-distanced manner as soon as class ends so that entering faculty members and students have adequate time to prepare their work space (sanitizing if they desire) for the next class.  Exiting the classroom and/or building in a manner that promotes physical distancing is important to avoid crowding.


·       If you are feeling sick, please do not attend classes. Consult Student Health Services or visit your doctor.  Please notify your professor prior to missing class. Faculty members will work with you to receive the necessary course content and assessments.


GC Keeps Learning: To help students adapt to the changing learning environment, Georgia College has developed a website of resources, tips, virtual tools, and access to help.  Included in this site are tutorials for GeorgiaVIEW, area access to Wi-Fi, academic support tools, and tips for online learning (


GC’s Campus Reopening Website: The Campus Reopening website ( will provide the latest information about our response to COVID-19. Check here for messages from President Dorman, as well as changes to the academic calendar, information about orientation, dining and residential life, important phone numbers, and the latest message sent to students, faculty, and staff. (