DISCRETE MATHEMATICS

MAT1DM

2020

Credit points: 15

Subject outline

The subjects 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 ingoing on with mathematics are strongly encouraged to enrol in this subject. Among the topics covered are: combinatorics, 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: Engineering and Mathematical Sciences (Pre 2022)

Credit points: 15

Subject Co-ordinator: Marcel Jackson

Available to Study Abroad/Exchange Students: Yes

Subject year level: Year Level 1 - UG

Available as Elective: No

Learning Activities: N/A

Capstone subject: No

Subject particulars

Subject rules

Prerequisites: N/A

Co-requisites: N/A

Incompatible subjects: MAT4DM OR MAT2DMX

Equivalent subjects: N/A

Quota Management Strategy: N/A

Quota-conditions or rules: N/A

Special conditions: N/A

Minimum credit point requirement: N/A

Assumed knowledge: N/A

Learning resources

Discrete Mathematics

Resource Type: Book

Resource Requirement: Prescribed

Author: Department of Mathematics.

Year: N/A

Edition/Volume: N/A

Publisher: Department of Mathematics., La Trobe University

ISBN: N/A

Chapter/article title: N/A

Chapter/issue: N/A

URL: N/A

Other description: N/A

Source location: N/A

Career Ready

Career-focused: No

Work-based learning: No

Self sourced or Uni sourced: N/A

Entire subject or partial subject: N/A

Total hours/days required: N/A

Location of WBL activity (region): N/A

WBL addtional requirements: N/A

Graduate capabilities & intended learning outcomes

Graduate Capabilities

Intended Learning Outcomes

01. Implement algebraic and graphical methods in logic and circuits.
02. Analyse mathematical processes and use algorithms arising in computer science.
03. Perform arithmetic in number bases arising in the study of computing processes.
04. Analyse network graphs and related objects in order to identify various inherent properties.
05. Obtain formulas describing iterative and recursive processes in enumeration.
06. Present mathematical thinking in succinct written form using both words and mathematical notation.

Melbourne (Bundoora), 2020, Semester 1, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Marcel Jackson

Class requirements

Computer LaboratoryWeek: 13 - 13
One 1.00 hour computer laboratory per study period on weekdays during the day from week 13 to week 13 and delivered via face-to-face.
Online test

LectureWeek: 10 - 22
Two 1.00 hour 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 1.00 hour lecture/workshop per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
Two 1.00 hour practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle%ILO*

5 Written Assignments due fortnightly (equiv 250 words assignment) total word count 1250 words equivFormative

N/AN/AN/ANo20SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

4 online quizzes (200 words per quiz; total 600 words)done fortnightly for final 7 weeks of semesterFormative

N/AN/AN/ANo10SILO1, SILO2, SILO3, SILO4

1 combinatorics and number base test, in approximately week 4 of semester (equiv. to 600 words)Summative

N/AN/AN/ANo15SILO2, SILO3

One 2-hour examination (equiv 2000 words)Summative

N/AN/AN/ANo55SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

Chisholm 311 (Chisholm Institute), 2020, Semester 1, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Marcel Jackson

Class requirements

Computer LaboratoryWeek: 13 - 13
One 1.00 hour computer laboratory per study period on weekdays during the day from week 13 to week 13 and delivered via face-to-face.
Online test

LectureWeek: 10 - 22
Two 1.00 hour 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 1.00 hour lecture/workshop per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
Two 1.00 hour practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle%ILO*

5 Written Assignments due fortnightly (equiv 250 words assignment) total word count 1250 words equivFormative

N/AN/AN/ANo20SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

4 online quizzes (200 words per quiz; total 600 words)done fortnightly for final 7 weeks of semesterFormative

N/AN/AN/ANo10SILO1, SILO2, SILO3, SILO4

1 combinatorics and number base test, in approximately week 4 of semester (equiv. to 600 words)Summative

N/AN/AN/ANo15SILO2, SILO3

One 2-hour examination (equiv 2000 words)Summative

N/AN/AN/ANo55SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

Chisholm 311 (Chisholm Institute), 2020, Semester 2, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Marcel Jackson

Class requirements

Computer LaboratoryWeek: 34 - 34
One 1.00 hour computer laboratory per study period on weekdays during the day from week 34 to week 34 and delivered via face-to-face.
Online test

LectureWeek: 31 - 43
Two 1.00 hour lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Lecture/WorkshopWeek: 31 - 43
One 1.00 hour lecture/workshop per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

PracticalWeek: 31 - 43
Two 1.00 hour practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle%ILO*

5 Written Assignments due fortnightly (equiv 250 words assignment) total word count 1250 words equivFormative

N/AN/AN/ANo20SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

4 online quizzes (200 words per quiz; total 600 words)done fortnightly for final 7 weeks of semesterFormative

N/AN/AN/ANo10SILO1, SILO2, SILO3, SILO4

1 combinatorics and number base test, in approximately week 4 of semester (equiv. to 600 words)Summative

N/AN/AN/ANo15SILO2, SILO3

One 2-hour examination (equiv 2000 words)Summative

N/AN/AN/ANo55SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

Sydney, 2020, Study period 1, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Marcel Jackson

Class requirements

Computer LaboratoryWeek: 13 - 13
One 1.00 hour computer laboratory per study period on weekdays during the day from week 13 to week 13 and delivered via face-to-face.
Online test

LectureWeek: 10 - 22
Two 1.00 hour 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 1.00 hour lecture/workshop per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
Two 1.00 hour practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle%ILO*

5 Written Assignments due fortnightly (equiv 250 words assignment) total word count 1250 words equivFormative

N/AN/AN/ANo20SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

4 online quizzes (200 words per quiz; total 600 words)done fortnightly for final 7 weeks of semesterFormative

N/AN/AN/ANo10SILO1, SILO2, SILO3, SILO4

1 combinatorics and number base test, in approximately week 4 of semester (equiv. to 600 words)Summative

N/AN/AN/ANo15SILO2, SILO3

One 2-hour examination (equiv 2000 words)Summative

N/AN/AN/ANo55SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

Sydney, 2020, Study period 2, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Marcel Jackson

Class requirements

Computer LaboratoryWeek: 34 - 34
One 1.00 hour computer laboratory per study period on weekdays during the day from week 34 to week 34 and delivered via face-to-face.
Online test

LectureWeek: 31 - 42
Two 1.00 hour 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 1.00 hour lecture/workshop per week on weekdays during the day from week 31 to week 42 and delivered via face-to-face.

PracticalWeek: 31 - 42
Two 1.00 hour practical per week on weekdays during the day from week 31 to week 42 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle%ILO*

5 Written Assignments due fortnightly (equiv 250 words assignment) total word count 1250 words equivFormative

N/AN/AN/ANo20SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

4 online quizzes (200 words per quiz; total 600 words)done fortnightly for final 7 weeks of semesterFormative

N/AN/AN/ANo10SILO1, SILO2, SILO3, SILO4

1 combinatorics and number base test, in approximately week 4 of semester (equiv. to 600 words)Summative

N/AN/AN/ANo15SILO2, SILO3

One 2-hour examination (equiv 2000 words)Summative

N/AN/AN/ANo55SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

Sydney, 2020, Study period 3, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Marcel Jackson

Class requirements

Computer LaboratoryWeek: 49 - 49
One 1.00 hour computer laboratory per study period on weekdays during the day from week 49 to week 49 and delivered via face-to-face.
Online test

LectureWeek: 46 - 0
Two 1.00 hour lecture per week on weekdays during the day from week 46 to week 0 and delivered via face-to-face.

Lecture/WorkshopWeek: 46 - 0
One 1.00 hour lecture/workshop per week on weekdays during the day from week 46 to week 0 and delivered via face-to-face.

PracticalWeek: 46 - 0
Two 1.00 hour practical per week on weekdays during the day from week 46 to week 0 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle%ILO*

5 Written Assignments due fortnightly (equiv 250 words assignment) total word count 1250 words equivFormative

N/AN/AN/ANo20SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

4 online quizzes (200 words per quiz; total 600 words)done fortnightly for final 7 weeks of semesterFormative

N/AN/AN/ANo10SILO1, SILO2, SILO3, SILO4

1 combinatorics and number base test, in approximately week 4 of semester (equiv. to 600 words)Summative

N/AN/AN/ANo15SILO2, SILO3

One 2-hour examination (equiv 2000 words)Summative

N/AN/AN/ANo55SILO1, SILO2, SILO3, SILO4, SILO5, SILO6