Course Title: Advanced Mathematics for Engineers

Part A: Course Overview

Course Title: Advanced Mathematics for Engineers

Credit Points: 12.00

Important Information:




Course Code




Learning Mode

Teaching Period(s)


City Campus


171H School of Science


Sem 1 2021,
Sem 1 2022,
Sem 1 2023,
Sem 1 2024

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

Required Prior Study

You should have satisfactorily completed following course/s before you commence this course.

Alternatively, you may be able to demonstrate the required skills and knowledge before you start this course.

Contact your course coordinator if you think you may be eligible for recognition of prior learning.

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:

  1. Manipulate Laplace transforms and their inverses, effectively use tables of Laplace transforms and operational formulae and solve appropriate initial value problems.
  2. Solve non-linear equations using various numerical methods and implement using a computer.
  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.
  4. Manipulate Fourier transforms and their inverses, effectively use tables of Fourier transforms and operational formulae and solve appropriate differential equations using Fourier transforms.
  5. Manipulate matrices, solve systems of linear equations, determine Eigen Vectors of square matrices.
  6. Manipulate power series, determine radius of convergence.
  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, which 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

RMIT will provide you with resources and tools for learning in this course through myRMIT Studies Course.

There are services available to support your learning through the University Library. The Library provides guides on academic referencing and subject specialist help as well as a range of study support services. For further information, please visit the Library page on the RMIT University website and the myRMIT student portal.

Overview of Assessment

Assessment Tasks

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 CLOs 5 & 6

Assessment Task 4: In-Class Practical Assessment (Numerical Analysis and miscellaneous problems)
Weighting 40%  
This assessment task supports CLOs 1-7

If you have a long-term medical condition and/or disability it may be possible to negotiate to vary aspects of the learning or assessment methods. You can contact the program coordinator or Equitable Learning Services if you would like to find out more.