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Engineering Mathematics (MAST20029)

Undergraduate level 2Points: 12.5Dual-Delivery (Parkville) and On Campus (Parkville)

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Summer Term, January and February subjects, where the teaching ends prior to the commencement of Semester 1, 2023, will be taught on campus with some subjects offered in dual-delivery and online modes.
From Semester 1, 2023 our undergraduate programs will be delivered on campus. Graduate programs will mainly be delivered on campus, with dual-delivery and online options available to a select number of subjects within some programs.
To learn more, visit 2023 Course and subject delivery.

Overview

Availability
Summer Term - Dual-Delivery
Semester 1 - On Campus
Semester 2 - On Campus
FeesLook up fees

This subject introduces important mathematical methods required in engineering such as manipulating vector differential operators, computing multiple integrals and using integral theorems. A range of ordinary and partial differential equations are solved by a variety of methods and their solution behaviour is interpreted. The subject also introduces sequences and series including the concepts of convergence and divergence.

Topics include: Vector calculus, including Gauss’ and Stokes’ Theorems; sequences and series; Fourier series, Laplace transforms; systems of homogeneous ordinary differential equations, including phase plane and linearization for nonlinear systems; second order partial differential equations and separation of variables.

Intended learning outcomes

At the completion of this subject, students should be able to



  • manipulate vector differential operators
  • determine convergence and divergence of sequences and series
  • solve ordinary differential equations using Laplace transforms
  • sketch phase plane portraits for linear and nonlinear systems of ordinary differential equations
  • represent suitable functions using Fourier series
  • solve second order partial differential equations using separation of variables
  • use MATLAB to perform simple numerical and symbolic calculations

Generic skills

In addition to learning specific mathematical skills, students will have the opportunity to develop generic skills that will assist them in any career path. These include:

  • problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
  • analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
  • collaborative skills: the ability to work in a team;
  • time-management skills: the ability to meet regular deadlines while balancing competing tasks;
  • computer skills: the ability to use mathematical computing packages.

Last updated: 3 June 2023

Eligibility and requirements

Prerequisites

One of

Code Name Teaching period Credit Points
MAST10006 Calculus 2
Summer Term (Dual-Delivery - Parkville)
Semester 2 (On Campus - Parkville)
Semester 1 (On Campus - Parkville)
 12.5
MAST10009 Accelerated Mathematics 2
Semester 2 (On Campus - Parkville)
 12.5
MAST10021 Calculus 2: Advanced
Semester 2 (On Campus - Parkville)
 12.5

MAST10019 Calculus Extension Studies

AND

One of

Code Name Teaching period Credit Points
MAST10007 Linear Algebra
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
Summer Term (Dual-Delivery - Parkville)
 12.5
MAST10008 Accelerated Mathematics 1
Semester 1 (On Campus - Parkville)
 12.5
MAST10022 Linear Algebra: Advanced
Semester 1 (On Campus - Parkville)
 12.5

MAST10013 UMEP Maths for High Achieving Students

MAST10018 Linear Algebra Extension Studies

OR

Admission into one of the following:

  • MC-BIOMENG Master of Biomedical Engineering
  • MC-CHEMENG Master of Chemical Engineering
  • MC-CIVENG Master of Civil Engineering
  • MC-ELECENG Master of Electrical Engineering
  • MC-ENVENG Master of Environmental Engineering
  • MC-MECHENG Master of Mechanical Engineering
  • MC-MTRNENG Master of Mechatronics Engineering
  • MC-ARCHENG Master of Architectural Engineering

Corequisites

None

Non-allowed subjects

Code Name Teaching period Credit Points
MAST20009 Vector Calculus
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
 12.5
MAST20030 Differential Equations
Semester 2 (On Campus - Parkville)
 12.5

Inherent requirements (core participation requirements)

The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.

Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home

Last updated: 3 June 2023

Assessment

Semester 1

DescriptionTimingPercentage

Three written assignments due at regular intervals amounting to a total of up to 40 pages

  • 40 pages
During the teaching period15%

A written test

  • 45 minutes
Mid semester15%

A written examination

  • 3 hours
During the examination period70%
Hurdle requirement: Students must pass the assessment during semester to pass the subject. That is, students must obtain a mark of at least 15% out of 30% for the combined assignment and mid semester test mark to pass the subject.N/A

Semester 2

DescriptionTimingPercentage

Three written assignments due at regular intervals amounting to a total of up to 40 pages

  • 40 pages
During the teaching period15%

A written test

  • 45 minutes
Mid semester15%

A written examination

  • 3 hours
During the examination period70%
Hurdle requirement: Students must pass the assessment during semester to pass the subject. That is, students must obtain a mark of at least 15% out of 30% for the combined assignment and mid semester test mark to pass the subject.N/A

Summer Term

DescriptionTimingPercentage

Two written assignments due at regular intervals amounting to a total of up to 40 pages

  • 40 pages
During the teaching period15%

A written test

  • 45 minutes
Mid semester15%

A written examination

  • 3 hours
During the examination period70%
Hurdle requirement: Students must pass the assessment during semester to pass the subject. That is, students must obtain a mark of at least 15% out of 30% for the combined assignment and mid semester test mark to pass the subject.N/A

Additional details

This Dual-Delivery subject has On Campus assessment components. Students approved to complete this subject during the Summer 2023 study period offshore will be contacted to confirm their assessment arrangements.

Last updated: 3 June 2023

Dates & times

  • Summer Term - Dual-Delivery
    Principal coordinatorAntoinette Tordesillas
    Mode of deliveryDual-Delivery (Parkville)
    Contact hoursSummer semester: 6 x 1 hours lectures per week, 2 x one hour practice classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week
    Total time commitment170 hours
    Teaching period 3 January 2023 to 17 February 2023
    Last self-enrol date11 January 2023
    Census date20 January 2023
    Last date to withdraw without fail 3 February 2023
    Assessment period ends25 February 2023

    Summer Term contact information

    atordesi@unimelb.edu.au

  • Semester 1 - On Campus
    CoordinatorChristine Mangelsdorf
    Mode of deliveryOn Campus (Parkville)
    Contact hoursSummer semester: 6 x 1 hours lectures per week, 2 x one hour practice classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week
    Total time commitment170 hours
    Teaching period27 February 2023 to 28 May 2023
    Last self-enrol date10 March 2023
    Census date31 March 2023
    Last date to withdraw without fail 5 May 2023
    Assessment period ends23 June 2023

    Semester 1 contact information

    mangel@unimelb.edu.au

  • Semester 2 - On Campus
    Principal coordinatorMarcus Brazil
    Mode of deliveryOn Campus (Parkville)
    Contact hoursSummer semester: 6 x 1 hours lectures per week, 2 x one hour practice classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week
    Total time commitment170 hours
    Teaching period24 July 2023 to 22 October 2023
    Last self-enrol date 4 August 2023
    Census date31 August 2023
    Last date to withdraw without fail22 September 2023
    Assessment period ends17 November 2023

    Semester 2 contact information

    brazil@unimelb.edu.au

Time commitment details

Estimated total time commitment of 170 hours

What do these dates mean

Visit this webpage to find out about these key dates, including how they impact on:

  • Your tuition fees, academic transcript and statements.
  • And for Commonwealth Supported students, your:
    - Student Learning Entitlement. This applies to all students enrolled in a Commonwealth Supported Place (CSP).
    - Completion rate. Students who started their course from 2022 and are in a CSP or receiving a HELP Loan (eg FEE-HELP) must meet the completion rate to continue to receive Commonwealth Support for that course.

Subjects withdrawn after the census date (including up to the ‘last day to withdraw without fail’) count toward the Student Learning Entitlement, and as a fail toward the completion rate, unless there are approved ‘special circumstances’.

Last updated: 3 June 2023

Further information

Last updated: 3 June 2023