Modelling and Change (Introductory Level)

Unit Outline (Higher Education)

Level of Unit in Course

AQF Level(s) of Course

Level of Unit in Course

Introductory

Intermediate

Effective Term:

2024/05

Institute / School :

Institute of Innovation, Science & Sustainability

Unit Title:

Modelling and Change (Introductory Level)

Unit ID:

MATHS1001

Credit Points:

15.00

Prerequisite(s):

Nil

Co-requisite(s):

Nil

Exclusion(s):

(MA551)

ASCED:

010101

Other Change:

Brief description of the Unit

This unit is aimed at a broad tertiary level audience interested in solving real world problems. The main focus will be on learning and applying standard calculus techniques to model motion, growth and change. Problems requiring optimisation techniques and calculation of area will also be considered. It will be particularly valuable to prospective secondary school mathematics teachers and any student interested in improving their understanding of these commonly encountered areas of applied mathematics.

Grade Scheme:

Graded (HD, D, C, P, MF, F, XF)

Work Experience Indicator:

No work experience

Placement Component:

Supplementary Assessment:Yes

Where supplementary assessment is available a student must have failed overall in the Unit but gained a final mark of 45 per cent or above, has completed all major assessment tasks (including all sub-components where a task has multiple parts) as specified in the Unit Description and is not eligible for any other form of supplementary assessment

Course Level:

Learning Outcomes:

Knowledge:

K1.	Describe the mathematical properties of functions

K2.	Explain fundamental calculus techniques

K3.	Describe how fundamental calculus techniques are related

Skills:

S1.	Illustrate important features of functions using graphs

S2.	Calculate the limit and derivative of functions

S3.	Determine the general antiderivative of functions

S4.	Evaluate definite and indefinite integrals

S5.	Determine the area between curves and the volume of a solid using integration

S6.	Utilise appropriate technology to assist in the solution and investigation of problems

Application of knowledge and skills:

A1.	Apply differentiation and integration techniques to solve physical applications

A2.	Interpret the results produced by a model to help solve real world problems

Unit Content:

Topics in this unit may include an introduction to the concepts of mathematical modelling and functions, calculus, trigonometry and optimisation through the use of real world problems.

Graduate Attributes:

	Learning Outcomes Assessed	Assessment Tasks	Assessment Type	Weighting
1.	K1-K3; S1-S6; A1-A2	A range of tasks and problems explored individually or in groups to support the understanding of the content and the development of skills and knowledge throughout the unit.	Projects/presentation/assignments/quizzes	40 - 50%
2.	K1-K2, S1-S5, A1	A test and/or examination on any part of or all the material covered in the unit.	Test(s)/Examination(s)	50 - 60%

Adopted Reference Style:

APA ()

Professional Standards / Competencies:

Standard / Competency

Threshold Learning Outcomes - Mathematics: Initial

Attribute			Assessed	Level
1 Understanding
	1.1 Demonstrate a coherent understanding of the mathematical sciences.
		1.1.1 Ability to construct logical, clearly presented and justified arguments incorporating deductive reasoning.	Yes	Introductory
		1.1.2 Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to development of the mathematical sciences.	No	Introductory
2 Knowledge
	2.1 Exhibit depth and breadth of knowledge in the mathematical sciences.
		2.1.1 Knowledge of the principles and concepts of a broad range of fundamental areas in the mathematical sciences.	Yes	Introductory
		2.1.2 Well-developed knowledge in at least one sub-discipline of the mathematical sciences.	Yes	Introductory
3 Inquiry and Problem Solving
	3.1 Investigating and solving problems using mathematical and statistical methods.
		3.1.1 Ability to formulate and model practical and abstract problems in mathematical and / or statistical terms using a variety of methods.	Yes	Introductory
		3.1.2 Ability to apply mathematical and / or statistical principles, concepts, techniques and technology to solve practical and abstract problems and interpret results critically.	Yes	Introductory
4 Communication
	4.1 Communicate mathematical and statistical information, arguments, or results for a range of purposes using a variety of means.
		4.1.1 Appropriate interpretation of information communicated in mathematical and statistical form.	Yes	Introductory
5 Responsibility
	5.1 Demonstrate personal, professional and social responsibility.
		5.1.1 Ability to self direct learning to extend their existing knowledge and that of others.	Yes	Introductory
		5.1.2 Ability to work effectively and responsibly in an individual or team context.	Yes	Introductory

Engineers Australia - Stage 1 (Professional): 2017 accreditation & AQF

Attribute

Assessed

Level