SE 3306: Discrete Mathematics for Software Engineers
Course Title: Discrete Math for Software Engineering
Time: MW 11:30-12:45
Place: ECSS 2.312
Instructor: Gopal
Gupta
Email: gupta@utdallas.edu
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)
Practice Sets
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 cs-tech@utdallas.edu.
Required Reading
Required reading is going to be assigned from the Rosen
textbook and the class notes.
Homework Deadlines
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.
Academic Integrity
The faculty expects from its students a high level of responsibility and
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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
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Scholastic dishonesty includes, but is not limited to, statements, acts or
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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
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Incomplete Grade Policy
As per university policy, incomplete grades will be granted only for work
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been completed. An incomplete grade must be resolved within eight (8) weeks
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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.
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The University of Texas at Dallas, SU 22
PO Box 830688
Richardson, Texas 75083-0688
(972) 883-2098 (voice or TTY)
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The University of Texas at Dallas will excuse a student from class or other
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These descriptions and timelines are subject to change at the discretion of the
Professor.