Overview

Properties of real and complex numbers; algebraic functions and common transcendental functions; modelling change using elementary functions; limits and continuity; rate of change, derivatives, local and global extrema; sums and integrals, anti-derivatives, calculus applications: (optimisation, area and volume, introduction to differential equations); vectors in two- and three- dimensional space.

Offerings

S1-01-CLAYTON-ON-CAMPUS
S1-FF-CLAYTON-FLEXIBLE
S2-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Dr Daniel Mathews

Unit Coordinator(s)

Dr Daniel Mathews
Dr Brett Parker

Notes

IMPORTANT NOTICE:
Scheduled teaching activities and/or workload information are subject to change in response to COVID-19, please check your Unit timetable and Unit Moodle site for more details.

Learning outcomes

On successful completion of this unit, you should be able to:
1.

Demonstrate basic knowledge of complex numbers, including algebraic manipulations and their various representations;

2.

Demonstrate basic knowledge of vectors in two and three-dimensional space, their properties, and geometric applications;

3.

Calculate simple limits to describe continuity and behaviour of one-variable real functions near a point and at infinity;

4.

Explain how differentiation and integration arise via limits;

5.

Calculate derivatives and integrals using a variety of methods;

6.

Use calculus methods to analyse function characteristics such as local and global extrema, concavity and points of inflection;

7.

Solve differential equations of the separable variables type;

8.

Use calculus techniques to solve a variety of problems that can be modelled with functions or with first order differential equations;

9.

Demonstrate proficiency in mathematical writing and communication.

Teaching approach

Active learning

Assessment

1 - In-semester assessment
2 - Examination (3 hours and 10 minutes)

Scheduled and non-scheduled teaching activities

Applied sessions
Lectures

Workload requirements

Workload

Other unit costs

Costs are indicative and subject to change.
Miscellaneous items required (Unit course reader, Printing, Stationery)- $120.

Availability in areas of study

Applied mathematics
Astrophysics,
Atmospheric science
Mathematics
Pure mathematics