MAT1101 Discrete Mathematics for Computing

SubjectCat-nbrClassTermModeDescriptionUnitsCampus
MAT1101622441, 2007EXTDiscrete Mathematics for Computing1.00Toowoomba

Academic group:FOSCI
Academic org:FOS003
Student contribution band:2
ASCED code:010101


Contents



STAFFING

Examiner: Walter Spunde
Moderator: Sergey Suslov




RATIONALE

Discrete methods underlie the areas of data structures, computational complexity and the analysis of algorithms. Recent advances in technology - particularly in applications of computing - have enhanced the importance of discrete (or finite) mathematics as a basis for understanding the foundations of computing and for further studies in computer analysis and applications.





SYNOPSIS

This course introduces the basic elements of discrete mathematics which provide a foundation for an understanding of algorithms and data structures used in computing. Topics covered include number systems, logic, relations, functions, induction, recursion, Boolean algebra and graph theory.





OBJECTIVES

On successful completion of this course students will be able to:

  1. demonstrate an understanding of how numeric amd character data are stored in a computer (Assignment 1 and Exam);
  2. demonstrate proficiency in converting simple algorithms into functional pseudo-code (Assignments 1 & 2, Exam);
  3. demonstrate proficiency with symbolic logic, in mathematical reasoning and the construction of proofs (Assignments 1 & 2, Exam);
  4. show familiarity with the basic notions of graphs and relationships (Exam).



TOPICS


DescriptionWeighting (%)
1. Base Changes, Integer and Real Numbers and Computer Representation
15.00
2. Sets, Functions, Relations and Algorithms
20.00
3. Logic
15.00
4. Proofs
15.00
5. Recursion
10.00
6. Boolean Algebra
10.00
7. Graphs and Trees
15.00


TEXT and MATERIALS required to be PURCHASED or accessed

ALL textbooks and materials are available for purchase from USQ BOOKSHOP (unless otherwise stated). Orders may be placed via secure internet, free fax 1800642453, phone 07 46312742 (within Australia), or mail. Overseas students should fax +61 7 46311743, or phone +61 7 46312742. For costs, further details, and internet ordering, use the 'Textbook Search' facility at http://bookshop.usq.edu.au click 'Semester', then enter your 'Course Code' (no spaces).

Grossman, Peter 2002, Discrete Mathematics for Computing, 2nd edn, Palgrave MacMillan, Basingstoke, New York.





REFERENCE MATERIALS

Reference materials are materials that, if accessed by students, may improve their knowledge and understanding of the material in the course and enrich their learning experience.

Epp, S 1995, Discrete Mathematics with Applications, 2nd edn, Brooks/Cole, Pacific Grove.

Gersting, JL 2003, Mathematical Structures for Computer Science, 5th edn, WH Freeman, New York.

Grimaldi, RP 2003, Discrete and Combinatorial Mathematics: an applied introduction, 5th edn, Addison-Wesley, Reading, Mass.

Ross, KA & Wright, CRB 2003, Discrete Mathematics, 5th edn, Pearson Education, Upper Saddle River, NJ.





STUDENT WORKLOAD REQUIREMENTS

ACTIVITYHOURS
Assessment30.00
Examinations2.00
Private Study140.00



ASSESSMENT DETAILS

DescriptionMarks out ofWtg(%)Due date
ASSIGNMENT 120.0020.0005 Apr 2007
ASSIGNMENT 220.0020.0021 May 2007
2HR RESTRICTED EXAMINATION100.0060.00END S1(see note 1)
NOTES
1.
Please refer to the Examination Timetable when it is published to confirm the examination date.


IMPORTANT ASSESSMENT INFORMATION

  1. Attendance requirements:
    There are no attendance requirements for this course. However, it is the students' responsibility to study all material provided to them or required to be accessed by them to maximise their chance of meeting the objectives of the course and to be informed of course-related activities and administration.
  2. Requirements for students to complete each assessment item satisfactorily:
    To complete an assessment item satisfactorily, students must obtain at least 50% of the marks available for that assessment item.
  3. Penalties for late submission of required work:
    If students submit assignments after the due date without prior approval then a penalty of 10% of the total marks available for the assignment will apply for each working day late.
  4. Requirements for student to be awarded a passing grade in the course:
    To be assured of receiving a passing grade a student must submit all summative assessment items and gain at least 50% of the marks available for each summative assessment item.
  5. Method used to combine assessment results to attain final grade:
    The final grades for students will be assigned on the basis of the aggregate of the weighted marks obtained for each of the summative assessment items in the course.
  6. Examination information:
    The only materials that candidates may use in the restricted examination for this course are: writing materials (non-electronic and free from material which could give the student an unfair advantage in the examination); calculators; One A4 sheet, written or typed on one or both sides with any material the student wishes to have. Students whose first language is not English, may, with the Examiner's approval, take an appropriate non- electronic translation dictionary into the examination. Students who wish to use a translation dictionary MUST request and receive written approval from the Examiner at least one week before the examination date. Translation dictionaries will be subject to perusal and may be removed from the candidate's possession until appropriate disciplinary action is completed if found to contain material that could give the candidate an unfair advantage.
  7. Examination period when Deferred/Supplementary examinations will be held:
    Any Deferred or Supplementary examinations for this course will be held during the examination period at the end of the semester of the next offering of this course.
  8. University Regulations:
    Students should read USQ Regulations 5.1 Definitions, 5.6. Assessment, and 5.10 Academic Misconduct for further information and to avoid actions which might contravene University Regulations. These regulations can be found at the URL http://www.usq.edu.au/corporateservices/calendar/part5.htm or in the current USQ Handbook.

ASSESSMENT NOTES

9.Students must retain a copy of each assignment submitted for assessment. If requested, students will be required to provide a copy of assignments submitted for assessment purposes. Such copies should be despatched to USQ within 24 hours of receipt of a request from the Examiner.
10.Students who, for medical, family/personal, or employment-related reasons, are unable to complete an assignment or to sit for the examination at the scheduled time may apply to defer the assessment item.Such a request must be accompanied by appropriate supporting documentation. One of the following temporary grades may be awarded IDS (Incomplete - Deferred Examination; IDM (Incomplete Deferred Make-up); IDB (Incomplete - Both Deferred Examination and Deferred Make-up).
11.It is desirable for students to have access to e-mail and internet access to USQConnect for this course.

This version produced 20 Dec 2007.