Course Title: Advanced Mathematics for Engineers

Part A: Course Overview

Course Title: Advanced Mathematics for Engineers

Credit Points: 12.00

Important Information:

To participate in any RMIT course in-person activities or assessment, you will need to comply with RMIT vaccination requirements which are applicable during the duration of the course. This RMIT requirement includes being vaccinated against COVID-19 or holding a valid medical exemption. 

Please read this RMIT Enrolment Procedure as it has important information regarding COVID vaccination and your study at RMIT:

Please read the Student website for additional requirements of in-person attendance: 

Please check your Canvas course shell closer to when the course starts to see if this course requires mandatory in-person attendance. The delivery method of the course might have to change quickly in response to changes in the local state/national directive regarding in-person course attendance. 


Course Code




Learning Mode

Teaching Period(s)


City Campus


171H School of Science


Sem 1 2021,
Sem 1 2022

Course Coordinator: Dr. Michael Nyblom

Course Coordinator Phone: +61 3 9925 2189

Course Coordinator Email:

Course Coordinator Location: 15.04.18

Course Coordinator Availability: By appointment, by email

Pre-requisite Courses and Assumed Knowledge and Capabilities


Or equivalent first year university mathematics courses. 

Course Description

Advanced Mathematics for Engineering is a single semester course consisting of five main mathematics topics namely, Transforms (Laplace/Fourier), Vector Calculus, Matrices, Power Series and Numerical Analysis. The course content has been selected, in consultation with Engineering, to provide the necessary mathematical training that will assist and expand your learning experience. 

Objectives/Learning Outcomes/Capability Development

This course contributes to the following Program Learning Outcomes:

1.1 Comprehensive, theory-based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the engineering discipline;

1.2 Conceptual understanding of the, mathematics, numerical analysis, which underpin the engineering discipline;

1.3 In-depth understanding of specialist bodies of knowledge within the engineering discipline;

2.1 Application of established engineering methods to complex engineering problem solving;

2.2 Fluent application of engineering techniques, tools and resources;

2.3 Application of systematic engineering synthesis and design processes; and

3.2 Effective oral and written communication in professional and lay domains. 

On successful completion of this course, you would be expected to be able to:

CLO 1. Manipulate Laplace transforms and their inverses, effectively use tables of Laplace transforms and operational formulae and solve appropriate initial value problems.

CLO 2. Solve non-linear equations using various numerical methods and implement using a computer.

CLO 3. Estimate the solution of systems of ordinary differential equations or high order ordinary differential equations using various numerical methods and implement using a computer.

CLO 4. Manipulate Fourier transforms and their inverses, effectively use tables of Fourier transforms and operational formulae and solve appropriate differential equations using Fourier transforms.

CLO 5. Manipulate matrices, solve systems of linear equations, determine Eigen Vectors of square matrices.

CLO 6. Manipulate power series, determine radius of convergence.

CLO 7. Utilise Vector Calculus in the solution of engineering problems, effectively calculate line integrals, determine the derivative and integral of Vector valued functions and apply to calculating arc length. In addition, determine Grad, Div and Curl of vector valued functions. 

Overview of Learning Activities

Primarily face to face. However  an online course site will be used to disseminate course materials through lecture videos, and to provide you access to self-assessment exercises and written assignments.

There will be four written assignments, whcih will test your understanding of the course content.

Exercises, with answers, are available to help you obtain proficiency in the course content.

Overview of Learning Resources

The Canvas site is where you will find:

Teaching schedule and suggested reading

Assessment guide and assessment schedule.

Lecture recordings Recommended references.

Tables and formula sheets.

Exercises and answers.

Overview of Assessment

Note: This course has no hurdle requirements.

Assessment Task 1: In-class Laplace Transform assessment 

Weighting 20%

This assessment task supports CLOs 1

 Assessment Task 2:   In-class (Fourier and Vector Calculus assessment)

Weighting 20%

This assessment task supports CLOs,4 & 7

Assessment Task 3:   In-class  Matrices and Power Series assessment 

Weighting 20%

This assessment task supports CLO 5 & 6

 Assessment Task 4:   In-Class Practical Assessment (Numerical Analysis and miscellaneous problems)

Weighting 40%  

This assessment supports CLO 1-7