DISCRETE MATHEMATICS
MAT1DM
2017
Credit points: 15
Subject outline
The subject is an introduction to discrete mathematics, which is a fundamental part of modern mathematics. The subject contains a range of important mathematical topics not taught in secondary school nor in other undergraduate subjects. Students interested in going on with mathematics are strongly encouraged to enrol in this subject. Among the topics covered are: numbers in bases other than 10, recurrence relations, complexity of algorithms, graph theory, Boolean logic, and finite state machines. All these topics are central to the application of mathematics in electronics and computer science. Examples within each topic are chosen with a view to helping students develop their problem-solving skills.
School: School Engineering&Mathematical Sciences
Credit points: 15
Subject Co-ordinator: Marcel Jackson
Available to Study Abroad Students: Yes
Subject year level: Year Level 1 - UG
Exchange Students: Yes
Subject particulars
Subject rules
Prerequisites: N/A
Co-requisites: N/A
Incompatible subjects: MAT4DM
Equivalent subjects: N/A
Special conditions: N/A
Learning resources
Readings
| Resource Type | Title | Resource Requirement | Author and Year | Publisher |
|---|---|---|---|---|
| Readings | Discrete Mathematics | Prescribed | Department of Mathematics. | Department of Mathematics., La Trobe University |
| Readings | FSTE First Year Survival Guide (second edition) | Recommended | Faculty of Science, Technology and Engineering | LA TROBE UNIVERSITY 2012 |
Graduate capabilities & intended learning outcomes
01. Implement algebraic and graphical methods in logic and circuits.
- Activities:
- Explained in lectures, students work through problem sheets in practice classes and write up problem solutions carefully in assignments.
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
02. Analyse mathematical processes and use algorithms arising in computer science.
- Activities:
- Explained in lectures, students work through problem sheets in practice classes and write up problem solutions carefully in assignments.
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
03. Perform arithmetic in number bases arising in the study of computing processes.
- Activities:
- Explained in lectures, students work through problem sheets in practice classes and write up problem solutions carefully in assignments.
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
04. Analyse and classify network graphs and related objects according to various significant properties.
- Activities:
- Explained in lectures, students work through problem sheets in practice classes and write up problem solutions carefully in assignments.
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
05. Obtain formulas describing iterative and recursive processes in enumeration.
- Activities:
- Explained in lectures, students work through problem sheets in practice classes and write up problem solutions carefully in assignments.
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
06. Present mathematical thinking in succinct written form using both words and mathematical notation.
- Activities:
- All activities undertaken in practice classes and assignments.
- Related graduate capabilities and elements:
- Literacies and Communication Skills(Writing,Quantitative Literacy)
- Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving)
- Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)
Dandenong, 2017, Semester 1, Day
Overview
Online enrolment: Yes
Maximum enrolment size: N/A
Enrolment information:
Subject Instance Co-ordinator: Marcel Jackson
Class requirements
PracticalWeek: 10 - 22
Two 1.0 hours practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Lecture/WorkshopWeek: 10 - 22
One 1.0 hours lecture/workshop per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
LectureWeek: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Assessments
| Assessment element | Comments | % | ILO* |
|---|---|---|---|
| 5 Written Assignments due fortnightly (typically 3-4 pages equiv. to 200 words each) | 20 | 01, 02, 03, 04, 05, 06 | |
| 5 extended online quizzes (equiv. to 100 words each) done fornightly | 10 | 01, 02, 03, 04 | |
| one 3-hour examination | 70 | 01, 02, 03, 04, 05, 06 |
Melbourne, 2017, Semester 1, Day
Overview
Online enrolment: Yes
Maximum enrolment size: N/A
Enrolment information:
Subject Instance Co-ordinator: Marcel Jackson
Class requirements
PracticalWeek: 10 - 22
Two 1.0 hours practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Lecture/WorkshopWeek: 10 - 22
One 1.0 hours lecture/workshop per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
LectureWeek: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Assessments
| Assessment element | Comments | % | ILO* |
|---|---|---|---|
| 5 Written Assignments due fortnightly (typically 3-4 pages equiv. to 200 words each) | 20 | 01, 02, 03, 04, 05, 06 | |
| 5 extended online quizzes (equiv. to 100 words each) done fornightly | 10 | 01, 02, 03, 04 | |
| one 3-hour examination | 70 | 01, 02, 03, 04, 05, 06 |
Sydney, 2017, Study Period 1, Day
Overview
Online enrolment: Yes
Maximum enrolment size: N/A
Enrolment information:
Subject Instance Co-ordinator: Marcel Jackson
Class requirements
PracticalWeek: 10 - 22
Two 1.0 hours practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
LectureWeek: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Lecture/WorkshopWeek: 10 - 22
One 1.0 hours lecture/workshop per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Assessments
| Assessment element | Comments | % | ILO* |
|---|---|---|---|
| 5 Written Assignments due fortnightly (typically 3-4 pages equiv. to 200 words each) | 20 | 01, 02, 03, 04, 05, 06 | |
| 5 extended online quizzes (equiv. to 100 words each) done fornightly | 10 | 01, 02, 03, 04 | |
| one 3-hour examination | 70 | 01, 02, 03, 04, 05, 06 |
Sydney, 2017, Study Period 2, Day
Overview
Online enrolment: Yes
Maximum enrolment size: N/A
Enrolment information:
Subject Instance Co-ordinator: Marcel Jackson
Class requirements
PracticalWeek: 31 - 42
Two 1.0 hours practical per week on weekdays during the day from week 31 to week 42 and delivered via face-to-face.
LectureWeek: 31 - 42
Two 1.0 hours lecture per week on weekdays during the day from week 31 to week 42 and delivered via face-to-face.
Lecture/WorkshopWeek: 31 - 42
One 1.0 hours lecture/workshop per week on weekdays during the day from week 31 to week 42 and delivered via face-to-face.
Assessments
| Assessment element | Comments | % | ILO* |
|---|---|---|---|
| 5 Written Assignments due fortnightly (typically 3-4 pages equiv. to 200 words each) | 20 | 01, 02, 03, 04, 05, 06 | |
| 5 extended online quizzes (equiv. to 100 words each) done fornightly | 10 | 01, 02, 03, 04 | |
| one 3-hour examination | 70 | 01, 02, 03, 04, 05, 06 |
Sydney, 2017, Study Period 3, Day
Overview
Online enrolment: Yes
Maximum enrolment size: N/A
Enrolment information:
Subject Instance Co-ordinator: Marcel Jackson
Class requirements
PracticalWeek: 46
Two 1.0 hours practical per week on weekdays during the day in week 46 and delivered via face-to-face.
LectureWeek: 46
Two 1.0 hours lecture per week on weekdays during the day in week 46 and delivered via face-to-face.
Lecture/WorkshopWeek: 46
One 1.0 hours lecture/workshop per week on weekdays during the day in week 46 and delivered via face-to-face.
Assessments
| Assessment element | Comments | % | ILO* |
|---|---|---|---|
| 5 Written Assignments due fortnightly (typically 3-4 pages equiv. to 200 words each) | 20 | 01, 02, 03, 04, 05, 06 | |
| 5 extended online quizzes (equiv. to 100 words each) done fornightly | 10 | 01, 02, 03, 04 | |
| one 3-hour examination | 70 | 01, 02, 03, 04, 05, 06 |