Courses & Units

Discrete Mathematics with Applications 1 KMA155

Hobart

Note:

It is recommended that students without the programming skills to the equivalent of ITC315108 complete either KIT001 or KIT101

Introduction

The aim of the unit is to introduce some basic ideas of discrete mathematics, which is to say, roughly, mathematics not based on calculus or limits. This material is pertinent to later mathematics courses such as those in algebra and also to the science and technology specific to the computer age. Topics such as sets, logic, number theory, counting, matrices and graphs are discussed with many examples, and with emphasis on applications using Python. This provides a treatment of discrete mathematics for students planning to study such areas of advanced mathematics as Algebra, Number Theory, Operations Research and Statistics, as well as students taking a first course in Computer Science. Skills developed are also useful for careers in Engineering, Management, Finance, Economics and Teaching.
On completion of this unit, you will be able to apply the following:
Set theory: Set notation, set operations, Venn diagrams, Cartesian products, set identities.
Logic: Statements (propositions), negation, conjunction and disjunction of statements, truth tables, logical equivalence, implication, De Morgan’s laws, tautologies, contradictions, and mathematical Induction.
Number theory: Prime numbers, divisibility properties, positional notation.
Combinatorics: Counting arrangements, permutations and combinations.
Matrices & Modelling: Definition and examples, addition, multiplication. Application to modelling.

Summary

Unit name Discrete Mathematics with Applications 1
Unit code KMA155
Credit points 12.5
College/School College of Sciences and Engineering
School of Natural Sciences
Discipline Information & Communication Technology|Mathematics
Coordinator Associate Professor Malgorzata O'Reilly
Available as student elective? Yes
Delivered By University of Tasmania
Level Introductory

Availability

Location Study period Attendance options Available to
Hobart Semester 2 On-Campus International Domestic

Key

On-campus
Off-Campus
International students
Domestic students
Note

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Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.

Key Dates

Study Period Start date Census date WW date End date
Semester 2 12/7/2021 10/8/2021 30/8/2021 17/10/2021

* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).

Unit census dates currently displaying for 2021 are indicative and subject to change. Finalised census dates for 2021 will be available from the 1st October 2020.

About Census Dates

Learning Outcomes

  • Read and communicate in relevant mathematical language and notation.
  • Supply and use formal definitions and properties of fundamental mathematical structures encountered in the unit.
  • Use standard proof techniques.
  • Engage with application of the concepts of modelling real-world situations with techniques of discrete mathematics.
Field of Education Commencing Student Contribution 1 Grandfathered Student Contribution 1 Approved Pathway Course Student Contribution 2 Domestic Full Fee
010199 $493.00 $493.00 not applicable $2,402.00
  • Available as a Commonwealth Supported Place
  • HECS-HELP is available on this unit, depending on your eligibility3
  • FEE-HELP is available on this unit, depending on your eligibility4

1 Please refer here more information on student contribution amounts.
2 Information on eligibility and Approved Pathway courses can be found here
3 Please refer here for eligibility for HECS-HELP
4 Please refer here for eligibility for FEE-HELP

If you have any questions in relation to the fees, please contact UConnect or more information is available on StudyAssist.

Please note: international students should refer to this page to get an indicative course cost.

Teaching

Teaching Pattern

3 x 1-hr lectures, 1 x 1-hr tutorial, 1 x 1-hr lab

AssessmentTutorial assignments 1-5 (30%)|Programming assignments 1-5 (10%)|Tests 1-3 (60%)
TimetableView the lecture timetable | View the full unit timetable

Textbooks

Required

Required readings will be listed in the unit outline prior to the start of classes.

LinksBooktopia textbook finder

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