Discrete Mathematics

University of Queensland

Course Description

  • Course Name

    Discrete Mathematics

  • Host University

    University of Queensland

  • Location

    Brisbane, Australia

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Course Level Recommendations

    Lower

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • Host University Units

    2
  • Recommended U.S. Semester Credits
    4
  • Recommended U.S. Quarter Units
    6
  • Overview

    Course Description
    Propositional & predicate logic, valid arguments, methods of proof. Elementary set theory. Elementary graph theory. Relations & functions. Induction & recursive definitions. Counting methods (pigeonhole, inclusion/exclusion). Introductory probability. Binary operations, groups, fields. Applications of finite fields. Elementary number theory.

     

    Course Introduction
    This course provides an introduction to discrete mathematics. It is likely to be useful for students who are planning on studying more mathematics, those intending to teach, and also for those enrolled in computer science, engineering, science and information technology.

    Learning Objectives
    After successfully completing this course you should be able to:

    1. construct logically correct and mathematically sound proofs.
    2. apply concepts of logic, set theory, relations, induction, principles of counting, probability, algebraic structures and elementary number theory to mathematical problems in more advanced mathematical courses and to problems encountered in other fields of study.
    3. demonstrate an understanding and well-founded knowledge of the mathematics presented in this course and thus be able to apply techniques from this course to solve both familiar and novel problems.
    4. select and use the appropriate level, style and means of written communication, using the symbolic, graphical, and diagrammatic forms relevant to the context.
    5. understand some applications of mathematics to relevant fields, such as computer programming and logic.

    Course Contact
    3 Lecture hours, 1 Tutorial hour

Course Disclaimer

Courses and course hours of instruction are subject to change.

Eligibility for courses may be subject to a placement exam and/or pre-requisites.

Some courses may require additional fees.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.