CECS Professional Skills Mapping

MATH1013 — Mathematics and Applications 1

Note: information provided here is indicative only. For full and current course information view the official page on P&C.

code:	MATH1013
name:	Mathematics and Applications 1
unit value:	6
description:	This course covers single-variable calculus and introductory linear algebra. The emphasis will be on understanding the material so that it both can be applied across a range of fields including the physical and biological sciences, engineering and information technologies, economics and commerce, and can also serve as a base for future mathematics courses. Many applications and connections with other fields will be discussed although not developed in detail. The material will not be developed in a rigorous theorem-proof style.
P&C:	https://programsandcourses.anu.edu.au/course/MATH1013
course learning outcomes:	Explain the fundamental concepts of calculus and linear algebra and their role in modern mathematics and applied contexts. These concepts include the solution of linear systems, matrix algebra, linear transformations and determinants in Linear Algebra; and limits, continuity, differentiation, local and absolute extrema, Riemann integration and the fundamental theorem of calculus in Calculus. Demonstrate accurate and efficient use of calculus and linear algebra techniques as they relate to the concepts listed above. Demonstrate capacity for mathematical reasoning through explaining concepts from calculus and linear algebra. Apply problem-solving using calculus and linear algebra techniques applied to diverse situations in physics, engineering and other mathematical contexts.
assessment:	Workshops (25%) Tests (25%) Final examination (50%)

Mapped learning outcomes

learning outcome	1. KNOWLEDGE AND SKILL BASE						2. ENGINEERING APPLICATION ABILITY				3. PROFESSIONAL AND PERSONAL ATTRIBUTES						assessment tasks
learning outcome	1.1	1.2	1.3	1.4	1.5	1.6	2.1	2.2	2.3	2.4	3.1	3.2	3.3	3.4	3.5	3.6	1	2	3
Explain the fundamental concepts of calculus and linear algebra and their role in modern mathematics and applied contexts. These concepts include the solution of linear systems, matrix algebra, linear transformations and determinants in Linear Algebra; and limits, continuity, differentiation, local and absolute extrema, Riemann integration and the fundamental theorem of calculus in Calculus.	✓	✓	✓														✓	✓	✓
Demonstrate accurate and efficient use of calculus and linear algebra techniques as they relate to the concepts listed above.	✓	✓												✓			✓	✓	✓
Demonstrate capacity for mathematical reasoning through explaining concepts from calculus and linear algebra.	✓	✓	✓														✓	✓	✓
Apply problem-solving using calculus and linear algebra techniques applied to diverse situations in physics, engineering and other mathematical contexts.	✓	✓	✓														✓	✓	✓

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

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