# SE 3306: Discrete Mathematics for Software Engineers

## http://www.utdallas.edu/~gupta/courses/semath

Course Title: Discrete Math for Software Engineering
Time: MW 11:30-12:45
Place: ECSS 2.312
Instructor: Gopal Gupta
Email: [email protected]
Office & Phone: ECS 4.908, 972-883-4107
Office Hours: Monday and Wed 2-3PM MW or by appointment
TA: Arvind Balasubramanian
TA's Office: ECSS 4.415
TA Office Hours: 3-5PM Wednesday
Text Book: Discrete Math and its Applications by Rosen (7th ed.)
Course Pre-req: CS 2305 (Discrete Math for Computing I)

## Course Content

This course will teach you discrete mathematical concepts that are needed for studying computer science. List of topics along with corresponding sections in the textbook and time devoted to each topic is shown below:
• Propositional Calculus; Corresponds to textbook sections 1.1, 1.2, 1.3 [3 lectures]
• Predicate Calculus; Corresponds to textbook sections 1.4, 1.5, 1.6; [3 lectures]
• Model Theory; Not covered in the text book [1 lecture]
• Naive Set Theory; textbook section 2.1, 2.2; [2 lectures]
• Axiomatic Set Theory; Not in the textbook; [2 lectures]
• Automata Theory; Textbook Chapter 13; [6 lectures]
• Graph Theory; Textbook Chapter 10; [6 lectures]
• State Charts; Not in the textbook; [1 lecture]
• Petri Nets; Not in the textbook; See also slides on Petri Nets by Dr. Chris Ling; [1 lecture]

In addition to topics above we will also cover (i) recursion and induction (Chapter 5) though recursion will also be covered in the context of learning Prolog, and (ii) Cardinality [section 2.5]. We will also learn the logic prorgramming language Prolog to program many of the concepts described above.

After finishing this course you should be able to

• understand and use propositional logic
• understand and use predicate logic
• understand and construct valid deductive proofs
• understand naive set theory [2 lectures]
• understand axiomatic set theory (Frege, ZF)
• understand introductory model theory (predicate logic)
• understand completeness, compactness, soundness theorems
• understand and use graph theory
• understand Chomsky's Hierarchy of Languages
• understand and use regular expressions, regular grammars, and regular languages
• understand and use finite state automata
• understand and use Statecharts
• understand and use Petri nets (weighted, hierarchical)

## Exams and Quizes

We will have four in-class (pop-up) quizzes, a midterm exam and a final exam. Problem sets will be given throughout the course. There will be 4 graded homeworks. (on Prolog, finite state machines, Graph theory, and State Charts). The weights will be as follows.
 Assignments 15% Midterm 20% Final 40% Quiz 20% Instructor discretion/attendance 5% Total 100%
The midterm exam will be held on March 5th. The final exam will be comprehensive and will be held during the finals week. If you miss a quiz or the midterm due to an execused absence, the weight of the final exam will be increased accordingly. For unexecused absence from a quiz, you will get a zero.

## Notes:

• 100% attendance is expected (5% of your grade depends on attendance). In the event of missing a lecture, the student is responsible for promptly obtaining any handouts, announcements, assignments, reading material, etc. covered in the lecture.
• Co-operation with other students for the Practice Problem Sets is allowed and encouraged.
• Students registered in this course are eligible to access machines in the Software Engineering Labs in EC South. It is the student's responsibility to ensure they have an account and are able to access the labs. If you have a problem with your email-id account, then please send an e-mail to [email protected]

Required reading is going to be assigned from the Rosen textbook and the class notes.

Ample time will be given for doing the homework assignments. A 10% penalty will be charged per day for late homework. Homeworks will be due in class.

## Student Conduct and Discipline

The University of Texas System and The University of Texas at Dallas have rules and regulations for the orderly and efficient conduct of their business. It is the responsibility of each student and each student organization to be knowledgeable about the rules and regulations which govern student conduct and activities. General information on student conduct and discipline is contained in the UTD publication, A to Z Guide, which is provided to all registered students each academic year. The University of Texas at Dallas administers student discipline within the procedures of recognized and established due process. Procedures are defined and described in the Rules and Regulations, Board of Regents, The University of Texas System, Part 1, Chapter VI, Section 3, and in Title V, Rules on Student Services and Activities of the university's Handbook of Operating Procedures. Copies of these rules and regulations are available to students in the Office of the Dean of Students, where staff members are available to assist students in interpreting the rules and regulations (SU 1.602, 972/883-6391). A student at the university neither loses the rights nor escapes the responsibilities of citizenship. He or she is expected to obey federal, state, and local laws as well as the Regents' Rules, university regulations, and administrative rules. Students are subject to discipline for violating the standards of conduct whether such conduct takes place on or off campus, or whether civil or criminal penalties are also imposed for such conduct.

The faculty expects from its students a high level of responsibility and academic honesty. Because the value of an academic degree depends upon the absolute integrity of the work done by the student for that degree, it is imperative that a student demonstrate a high standard of individual honor in his or her scholastic work. Scholastic dishonesty includes, but is not limited to, statements, acts or omissions related to applications for enrollment or the award of a degree, and/or the submission as one's own work or material that is not one's own. As a general rule, scholastic dishonesty involves one of the following acts: cheating, plagiarism, collusion and/or falsifying academic records. Students suspected of academic dishonesty are subject to disciplinary proceedings. Plagiarism, especially from the web, from portions of papers for other classes, and from any other source is unacceptable and will be dealt with under the university's policy on plagiarism (see general catalog for details). This course will use the resources of turnitin.com, which searches the web for possible plagiarism and is over 90% effective.

## Email Use

The University of Texas at Dallas recognizes the value and efficiency of communication between faculty/staff and students through electronic mail. At the same time, email raises some issues concerning security and the identity of each individual in an email exchange. The university encourages all official student email correspondence be sent only to a student's U.T. Dallas email address and that faculty and staff consider email from students official only if it originates from a UTD student account. This allows the university to maintain a high degree of confidence in the identity of all individual corresponding and the security of the transmitted information. UTD furnishes each student with a free email account that is to be used in all communication with university personnel. The Department of Information Resources at U.T. Dallas provides a method for students to have their U.T. Dallas mail forwarded to other accounts.

## Withdrawal from Class

The administration of this institution has set deadlines for withdrawal of any college-level courses. These dates and times are published in that semester's course catalog. Administration procedures must be followed. It is the student's responsibility to handle withdrawal requirements from any class. In other words, I cannot drop or withdraw any student. You must do the proper paperwork to ensure that you will not receive a final grade of "F" in a course if you choose not to attend the class once you are enrolled.

## Student Grievance Procedures

Procedures for student grievances are found in Title V, Rules on Student Services and Activities, of the university's Handbook of Operating Procedures. In attempting to resolve any student grievance regarding grades, evaluations, or other fulfillments of academic responsibility, it is the obligation of the student first to make a serious effort to resolve the matter with the instructor, supervisor, administrator, or committee with whom the grievance originates (hereafter called "the respondent"). Individual faculty members retain primary responsibility for assigning grades and evaluations. If the matter cannot be resolved at that level, the grievance must be submitted in writing to the respondent with a copy of the respondent's School Dean. If the matter is not resolved by the written response provided by the respondent, the student may submit a written appeal to the School Dean. If the grievance is not resolved by the School Dean's decision, the student may make a written appeal to the Dean of Graduate or Undergraduate Education, and the deal will appoint and convene an Academic Appeals Panel. The decision of the Academic Appeals Panel is final. The results of the academic appeals process will be distributed to all involved parties. Copies of these rules and regulations are available to students in the Office of the Dean of Students, where staff members are available to assist students in interpreting the rules and regulations.

As per university policy, incomplete grades will be granted only for work unavoidably missed at the semester's end and only if 70% of the course work has been completed. An incomplete grade must be resolved within eight (8) weeks from the first day of the subsequent long semester. If the required work to complete the course and to remove the incomplete grade is not submitted by the specified deadline, the incomplete grade is changed automatically to a grade of F.

## Disability Services

The goal of Disability Services is to provide students with disabilities educational opportunities equal to those of their non-disabled peers. Disability Services is located in room 1.610 in the Student Union. Office hours are Monday and Thursday, 8:30 a.m. to 6:30 p.m.; Tuesday and Wednesday, 8:30 a.m. to 7:30 p.m.; and Friday, 8:30 a.m. to 5:30 p.m. The contact information for the Office of Disability Services is: The University of Texas at Dallas, SU 22
PO Box 830688
Richardson, Texas 75083-0688
(972) 883-2098 (voice or TTY)
Essentially, the law requires that colleges and universities make those reasonable adjustments necessary to eliminate discrimination on the basis of disability. For example, it may be necessary to remove classroom prohibitions against tape recorders or animals (in the case of dog guides) for students who are blind. Occasionally an assignment requirement may be substituted (for example, a research paper versus an oral presentation for a student who is hearing impaired). Classes enrolled students with mobility impairments may have to be rescheduled in accessible facilities. The college or university may need to provide special services such as registration, note-taking, or mobility assistance. It is the student's responsibility to notify his or her professors of the need for such an accommodation. Disability Services provides students with letters to present to faculty members to verify that the student has a disability and needs accommodations. Individuals requiring special accommodation should contact the professor after class or during office hours.

## Religious Holy Days

The University of Texas at Dallas will excuse a student from class or other required activities for the travel to and observance of a religious holy day for a religion whose places of worship are exempt from property tax under Section 11.20, Tax Code, Texas Code Annotated. The student is encouraged to notify the instructor or activity sponsor as soon as possible regarding the absence, preferably in advance of the assignment. The student, so excused, will be allowed to take the exam or complete the assignment within a reasonable time after the absence: a period equal to the length of the absence, up to a maximum of one week. A student who notifies the instructor and completes any missed exam or assignment may not be penalized for the absence. A student who fails to complete the exam or assignment within the prescribed period may receive a failing grade for that exam or assignment. If a student or an instructor disagrees about the nature of the absence [i.e., for the purpose of observing a religious holy day] or if there is similar disagreement about whether the student has been given a reasonable time to complete any missed assignments or examinations, either the student or the instructor may request a ruling from the chief executive officer of the institution, or his or her designee. The chief executive officer or designee must take into account the legislative intent of TEC 51.911(b), and the student and instructor will abide by the decision of the chief executive officer or designee. Off-Campus Instruction and Course Activities Off-campus, out-of-state, and foreign instruction and activities are subject to state law and University policies and procedures regarding travel and risk-related activities. Information regarding these rules and regulations may be found at the website address given below. Additional information is available from the office of the school dean. (http://www.utdallas.edu/Business Affairs/Travel_Risk_Activities.htm)

These descriptions and timelines are subject to change at the discretion of the Professor.