Engineering Mathematics

Subject MAST20029 (2015)

Note: This is an archived Handbook entry from 2015.

Credit Points: 12.5
Level: 2 (Undergraduate)
Dates & Locations:

This subject has the following teaching availabilities in 2015:

Summer Term, Parkville - Taught on campus.
Pre-teaching Period Start not applicable
Teaching Period 05-Jan-2015 to 15-Feb-2015
Assessment Period End 27-Feb-2015
Last date to Self-Enrol 09-Jan-2015
Census Date 16-Jan-2015
Last date to Withdraw without fail 06-Feb-2015

Semester 1, Parkville - Taught on campus.
Pre-teaching Period Start not applicable
Teaching Period 02-Mar-2015 to 31-May-2015
Assessment Period End 26-Jun-2015
Last date to Self-Enrol 13-Mar-2015
Census Date 31-Mar-2015
Last date to Withdraw without fail 08-May-2015

Semester 2, Parkville - Taught on campus.
Pre-teaching Period Start not applicable
Teaching Period 27-Jul-2015 to 25-Oct-2015
Assessment Period End 20-Nov-2015
Last date to Self-Enrol 07-Aug-2015
Census Date 31-Aug-2015
Last date to Withdraw without fail 25-Sep-2015

Timetable can be viewed here. For information about these dates, click here.
Time Commitment: Contact Hours: Summer 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 Commitment:

Estimated total time commitment of 170 hours


One of

Study Period Commencement:
Credit Points:
Semester 1, Semester 2

Plus one of

Study Period Commencement:
Credit Points:
Summer Term, Semester 1, Semester 2
  • MAST10013 UMEP Maths for High Achieving Students


Enrolment in the Master of Engineering.

Corequisites: None
Recommended Background Knowledge: None
Non Allowed Subjects:

Students may only gain credit for one of

  • MAST20029 Engineering Mathematics
  • MAST20030 Differential Equations
  • MAST30023 Differential Equations for Engineers (prior to 2012)

Students who have completed MAST20009 Vector Calculus may not enrol in MAST20029 Engineering Mathematics for credit.

Concurrent enrolment in both MAST20029 Engineering Mathematics and MAST20009 Vector Calculus is not permitted.

Core Participation Requirements:

For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Student Support and Engagement Policy, academic requirements for this subject are articulated in the Subject Overview, Learning Outcomes, Assessment and Generic Skills sections of this entry.

It is University policy to take all reasonable steps to minimise the impact of disability upon academic study, and reasonable adjustments will be made to enhance a student's participation in the University's programs. Students who feel their disability may impact on meeting the requirements of this subject are encouraged to discuss this matter with a Faculty Student Adviser and Student Equity and Disability Support:


Assoc Prof Marcus Brazil, Dr Christine Mangelsdorf, Prof Antoinette Tordesillas


Second Year Coordinator


Subject Overview:

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.

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

Two or three written assignments due at regular intervals during semester amounting to a total of up to 40 pages (15%), a 45 minute written test held mid-semester (15%), and a 3-hour written examination in the examination period (70%).

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.

Prescribed Texts: None
Recommended Texts:

E Kreysig, Advanced Engineering Mathematics, 10th Edition, Wiley, USA 2011.

Breadth Options:

This subject potentially can be taken as a breadth subject component for the following courses:

You should visit learn more about breadth subjects and read the breadth requirements for your degree, and should discuss your choice with your student adviser, before deciding on your subjects.

Fees Information: Subject EFTSL, Level, Discipline & Census Date
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.

Students enrolled in the BSc (new degree only) will receive science credit for the completion of this subject.

Note for BSc (new degree) students: This subject is intended only for students pursuing an Engineering Systems major, who do not wish to take any further study in Mathematics and Statistics or Physics. Other students, including those wanting to supplement their Engineering Systems major with further study in Mathematics and Statistics or Physics, should seek advice.

Students undertaking this subject are required to regularly use computers with MATLAB installed.

Related Majors/Minors/Specialisations: B-ENG Chemical Engineering stream
B-ENG Chemical and Biomolecular Engineering stream
B-ENG Civil Engineering stream
B-ENG Electrical Engineering stream
B-ENG Mechanical Engineering stream
Civil (Engineering) Systems major
Engineering Systems
Environmental Engineering Systems major
Environments Discipline subjects
Master of Engineering (Biochemical)
Master of Engineering (Biomedical with Business)
Master of Engineering (Biomedical)
Master of Engineering (Chemical with Business)
Master of Engineering (Chemical)
Master of Engineering (Civil with Business)
Master of Engineering (Civil)
Master of Engineering (Electrical with Business)
Master of Engineering (Electrical)
Master of Engineering (Environmental)
Master of Engineering (Mechanical with Business)
Master of Engineering (Mechanical)
Master of Engineering (Mechatronics)
Master of Engineering (Structural)
Science-credited subjects - new generation B-SCI and B-ENG.
Selective subjects for B-BMED

Download PDF version.