DISCRETE MATHEMATICS

MAT1DM

2015

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.

SchoolSchool Engineering&Mathematical Sciences

Credit points15

Subject Co-ordinatorYuri Nikolayevsky

Available to Study Abroad StudentsYes

Subject year levelYear Level 1 - UG

Exchange StudentsYes

Subject particulars

Subject rules

PrerequisitesN/A

Co-requisitesN/A

Incompatible subjects CSE21DMO, MAT12DM, MAT11DM

Equivalent subjectsN/A

Special conditionsN/A

Readings

Resource TypeTitleResource RequirementAuthor and YearPublisher
ReadingsDiscrete MathematicsPrescribedDepartment of Mathematics.Department of Mathematics., La Trobe University
ReadingsFSTE First Year Survival Guide (second edition)RecommendedFaculty of Science, Technology and EngineeringLA TROBE UNIVERSITY 2012

Graduate capabilities & intended learning outcomes

01. Implement algebraic and graphical methods in logic and circuits.

Activities:
Students are required to apply techniques in exam questions, 2 assignments and 3 quizzes.

02. Analyse mathematical processes and use algorithms arising in computer science.

Activities:
Students are required to analyse or apply algorithms in exam questions, 5 assignments and 5 quizzes.

03. Perform arithmetic in number bases arising in the study of computing processes.

Activities:
Students are required to solve numerical problems in exam questions, 2 assignments and 1 quiz.

04. Analyse and classify network graphs and related objects according to various significant properties.

Activities:
Students are required to analyse edge/vertex graphs and classify different types of graphs in exam questions, 2 assignments and 3 quizzes.

05. Obtain formulas describing iterative and recursive processes in enumeration.

Activities:
Students are required to find formulas and check formulas are correct in exam questions, 2 assignments and 2 quizzes.

06. Perform brief independent investigations using provided resources and implement the outcomes of the investigation to perform basic mathematical and computer exercises.

Activities:
2 marks on each of 5 assignments designated for "Independent Learning" question.

07. Present mathematical thinking in succinct written form using both words and mathematical notation.

Activities:
Written assignments and the exam have marks specifically allocated to appropriate communication of ideas leading to solutions.

Subject options

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Start date between: and    Key dates

Dandenong, 2015, Semester 1, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorKevin Bicknell

Class requirements

Practical Week: 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/Workshop Week: 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.

Lecture Week: 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 elementComments% ILO*
5 fortnightly assignments (typically 3-4 pages each)20 01, 02, 03, 04, 05, 06, 07
five diagnostic tests10 01, 02, 03, 04, 05
one 3-hour examination70 01, 02, 03, 04, 05, 07

Melbourne, 2015, Semester 1, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorYuri Nikolayevsky

Class requirements

Practical Week: 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/Workshop Week: 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.

Lecture Week: 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 elementComments% ILO*
5 fortnightly assignments (typically 3-4 pages each)20 01, 02, 03, 04, 05, 06, 07
five diagnostic tests10 01, 02, 03, 04, 05
one 3-hour examination70 01, 02, 03, 04, 05, 07