# CECS Professional Skills Mapping

## MATH1005 — Discrete Mathematical Models

code: MATH1005 Discrete Mathematical Models 6 Introduction to discrete mathematics and its use in mathematical modelling. Emphasis will be placed on developing facility, technique and use in applications. Modelling of processes and phenomena which occur in economics and the physical, environmental and life sciences will be used as a vehicle throughout. Topics to be covered include: combinatorics and counting, induction and recurrence relations, graph theory and networks, matrix arithmetic and Markov chains, logic and finite set theory. https://programsandcourses.anu.edu.au/course/MATH1005 Recall, invent or interpret examples of motivation for mathematical constructs introduced in the course and used in discrete mathematics as models of processes in the worldBe sufficiently familiar with terminology from discrete mathematics used in the course as to be able to interpret, use and attempt to answer questions involving these wordsTranslate representations of mathematical information between the different formats presented in the courseCompetently perform mathematical calculations in discrete mathematics using methods presented in the courseTo an extent determined by each student's needs, interests and input, develop maturity of mathematical reasoning as well as general academic skills such as information literacy, tenacity, communication and collaboration. Mid-semester exam (30%)Tutorials/Assignments (15%)Final examination (55%)

### Mapped learning outcomes

learning outcome1. KNOWLEDGE AND SKILL BASE2. ENGINEERING APPLICATION ABILITY3. PROFESSIONAL AND PERSONAL ATTRIBUTESassessment tasks
1.11.21.31.41.51.62.12.22.32.43.13.23.33.43.53.6123
1. Recall, invent or interpret examples of motivation for mathematical constructs introduced in the course and used in discrete mathematics as models of processes in the world
1. Be sufficiently familiar with terminology from discrete mathematics used in the course as to be able to interpret, use and attempt to answer questions involving these words
1. Translate representations of mathematical information between the different formats presented in the course
1. Competently perform mathematical calculations in discrete mathematics using methods presented in the course
1. To an extent determined by each student's needs, interests and input, develop maturity of mathematical reasoning as well as general academic skills such as information literacy, tenacity, communication and collaboration.

### Course contribution towards the Engineers Australia Stage 1 Competency Standard

This table depicts the relative contribution of this course towards the Engineers Australia Stage 1 Competency Standard. Note that this illustration is indicative only, and may not take into account any recent changes to the course. You are advised to review the official course page on P&C for current information..

 1. KNOWLEDGE AND SKILL BASE 1.1 1.2 1.3 1.4 1.5 1.6 2. ENGINEERING APPLICATION ABILITY 2.1 2.2 2.3 2.4 3. PROFESSIONAL AND PERSONAL ATTRIBUTES 3.1 3.2 3.3 3.4 3.5 3.6

### Engineers Australia Stage 1 Competency Standard — summary

1. KNOWLEDGE AND SKILL BASE
1.1Comprehensive, theory based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the engineering discipline.
1.2Conceptual understanding of the, mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline.
1.3In depth understanding of specialist bodies of knowledge within the engineering discipline.
1.4Discernment of knowledge development and research directions within the engineering discipline.
1.5Knowledge of contextual factors impacting the engineering discipline.
1.6Understanding of the scope, principles, norms, accountabilities and bounds of contemporary engineering practice in the engineering discipline.
2. ENGINEERING APPLICATION ABILITY
2.1Application of established engineering methods to complex engineering problem solving.
2.2Fluent application of engineering techniques, tools and resources.
2.3Application of systematic engineering synthesis and design processes.
2.4Application of systematic approaches to the conduct and management of engineering projects.
3. PROFESSIONAL AND PERSONAL ATTRIBUTES
3.1Ethical conduct and professional accountability.
3.2Effective oral and written communication in professional and lay domains.
3.3Creative, innovative and pro-active demeanour.
3.4Professional use and management of information.
3.5Orderly management of self, and professional conduct.
3.6Effective team membership and team leadership.

Updated:  18 February 2021/ Responsible Officer:  Dean, CECS/ Page Contact:  CECS Academic Education Services