Courses & Units
Discrete Mathematics with Applications 1 KMA155
Hobart
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 an elective? | |
| Delivered By | Delivered wholly by the provider |
| 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
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 (refer to How do I withdraw from a unit? 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. Note census date cutoff is 11.59pm AEST (AEDT during October to March).
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.
Fee Information
| Field of Education | Commencing Student Contribution 1,3 | Grandfathered Student Contribution 1,3 | Approved Pathway Course Student Contribution 2,3 | Domestic Full Fee 4 |
|---|---|---|---|---|
| 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 to more information on student contribution amounts.
2 Please refer to more information on eligibility and Approved Pathway courses.
3 Please refer to more information on eligibility for HECS-HELP.
4 Please refer to more information on 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 What is an indicative Fee? to get an indicative course cost.
Teaching
| Teaching Pattern | 3 x 1-hr lectures, 1 x 1-hr tutorial, 1 x 1-hr lab |
|---|---|
| Assessment | Tutorial assignments 1-5 (30%)|Programming assignments 1-5 (10%)|Tests 1-3 (60%) |
| Timetable | View 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. |
Links | Booktopia textbook finder |
|---|
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