ENG1005 - Engineering mathematics

There is a more recent version of this academic item available.

Overview

Vector algebra and geometry: equations of lines and planes. Linear algebra: matrix operations, up to 3x3 systems of linear equations, eigenvalues and eigenvectors. Calculus: improper integrals, integration by parts. Sequences and series: fundamentals of convergence, Taylor series, use in error analysis. Ordinary differential equations: first order, second order with constant coefficients, repeated roots, simple non-homogeneous cases. Laplace transforms: elementary functions, inversion by tables; shifting; derivatives, applications to ODEs. Multivariable calculus: partial derivatives, gradient and directional derivatives, maxima and minima.

Offerings

NOV12-CLAYTON-ON-CAMPUS

OCT-MY-01-MALAYSIA-ON-CAMPUS

S1-01-CLAYTON-ON-CAMPUS

S1-01-MALAYSIA-ON-CAMPUS

S1-FF-CLAYTON-FLEXIBLE

S2-01-CLAYTON-ON-CAMPUS

S2-01-MALAYSIA-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Todd Oliynyk

Unit Coordinator(s)

Dr Liang Shiuan-Ni

Dr Anja Slim

Dr Andy Hammerlindl

Associate Professor Todd Oliynyk

Dr Faranak Rabiei

Dr Jian He

Contact details

Dr Jonathan Li - Deputy Assoc Dean Education (First Year Studies), Faculty of Engineering

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:

Evaluate cross products of vectors, and use vectors to represent lines and planes.

Perform matrix algebra.

Solve up to 3x3 systems of linear equations and find eigenvalues and eigenvectors.

Use hyperbolic functions.

Evaluate improper integrals of elementary functions and use integration by parts.

Appreciate convergence of numeric and power series, construct Taylor series and estimate errors in numerical approximations .

Solve first order ordinary differential equations, including by separable variables and integrating factors.

Solve second order linear differential equations with constant coefficients.

Use differential equations to model simple engineering problems.

10.

Evaluate and invert Laplace transforms and use them to solve ordinary differential equations.

11.

Calculate partial derivatives, use the gradient vector to find directional derivatives, and find extreme values of two-variable functions.

12.

Express and explain mathematical techniques and arguments clearly in words.

Teaching approach

Active learning

Assessment summary

Continuous assessment: 40%

Final assessment: 60%

This unit contains hurdle requirements that you must achieve to be able to pass the unit. You are required to achieve at least 45% in the total continuous assessment component and at least 45% in the final assessment component. The consequence of not achieving a hurdle requirement is a fail grade (NH) and a maximum mark of 45 for the unit.

Assessment

1 - Assignments

2 - Quizzes

3 - Applied class attendance and participation

4 - Final assessment

Scheduled and non-scheduled teaching activities

Applied sessions

Total hours:22 hours

Offerings:

Second semester, Malaysia, Teaching activities are on-campus (ON-CAMPUS)

Total hours:24 hours

Offerings:

Second semester, Clayton, Teaching activities are on-campus (ON-CAMPUS)

Total hours:22 hours

Offerings:

October intake teaching period, Malaysia campus, Malaysia, Teaching activities are on-campus (ON-CAMPUS)
First semester, Clayton, Teaching activities are on-campus (ON-CAMPUS)
First semester, Malaysia, Teaching activities are on-campus (ON-CAMPUS)

Lectures

Workload requirements

Workload

Minimum total expected workload to achieve the learning outcomes for this unit is 144 hours per semester typically comprising a mixture of 4-6 hours of scheduled learning activities and 6-8 hours independent study per week. Scheduled activities may include a combination of teacher-directed learning, peer-directed learning and online engagement. Independent study may include associated readings, assessment and preparation for scheduled activities.

Other unit costs

Costs are indicative and subject to change.
Miscellaneous Items Required (Unit Course Reader, Printing, Stationery) - $120.