Course Title: Further Engineering Mathematics C

Part A: Course Overview

Course Title: Further Engineering Mathematics C

Credit Points: 12.00


Course Code




Learning Mode

Teaching Period(s)


City Campus


145H Mathematical & Geospatial Sciences


Sem 2 2006,
Sem 2 2007,
Sem 2 2008,
Sem 2 2009,
Sem 2 2010,
Sem 2 2011,
Sem 2 2012,
Sem 2 2013,
Sem 2 2014,
Sem 2 2015,
Sem 2 2016


City Campus


171H School of Science


Sem 2 2017,
Sem 2 2018

Course Coordinator: Dr Michael Nyblom

Course Coordinator Phone: +61 +3 9925 2526

Course Coordinator Email:

Course Coordinator Location: City Campus, Building 8, Level 9, Room 31

Pre-requisite Courses and Assumed Knowledge and Capabilities

You are expected to have capabilities consistent with the successful completion of MATH2117 or its equivalent.

Course Description

This course provides a broad introduction to the fundamental mathematical areas of differential equations (first- and second-order equations), matrices, infinite series, power series and vector calculus, and introduces the commercial mathematical software MATLAB and related MATLAB Toolboxes. It aims to show the relevance of mathematics to studies in aerospace, mechanical, manufacturing and mechatronics engineering.  The course provides a solid foundation for more advanced mathematics courses that follow.

Objectives/Learning Outcomes/Capability Development


This course contributes to the following Program Learning Outcomes for:

  1. BH068     B Eng (Adv Man & Mech) (Hons)
  2. BH070     B Eng (Mech Eng) (Honours)
  3. BH074     B Eng (Auto Eng) (Honours)
  4. BH076     B Eng (Sust Sys Eng) (Honours)
  5. BH078     B Eng (Aero Eng) (Honours)
  6. BH082     B Eng (Aero Eng)(Hons)/BBus(Mgt)
  7. BH084     B Eng (AutoEng)(Hons)/BBus(Mgt)
  8. BH086     B Eng (AdvMan&Mech)(H)/BBus(IB)
  9. BH089     B Eng (MechEng)(Hons)/BBus(Mgt)
  10. BH090     B Eng (MechEng)(Hons)/BSc(Biotech)
  11. BH092     B Eng (SustSysEng)(Hons)/BBus(Mgt)
  12. BH093     B Eng (MechEng)(Hons)/BIndDes(Hons)
  13. BH100     B Eng (SustSysEng)(Hon)BIndDes(H):
  • theoretical knowledge: you will develop your knowledge of single- and multi-variable differential and integral calculus, elementary functions, vectors and differential equations of interest to chemical and environmental engineers.
  • technical ability: with its emphasis on problem solving, this course will prepare you to be able to analyse the physical world in a systematic manner.
  • critical analysis and problem solving: you will be afforded opportunities to mathematically formulate and solve problems creatively, especially those in which a description of the problem is given in words only.
  • communication: your capabilities will be improved through regular feedback on your written work.

On completion of this course you should be able to:

  1. Continue to apply the core mathematical skills such as arithmetic, algebraic manipulation, elementary geometry and trigonometry, single- and multi-variable differentiation and integration to a range of fundamental problems;
  2. Formulate and solve differential equations;
  3. Recognise the properties of matrices and apply the techniques of matrix analysis to problems involving three-dimensional geometry and transformations in three-dimensional space;
  4. Recognise the basic properties of infinite series and apply power series to problems involving approximation of functions;
  5. Determine the important quantities associated with scalar and vector fields such as the gradient vector, divergence, curl, and scalar potential (and state when it exists).

Overview of Learning Activities

Key concepts and their application will be explained and illustrated (with many examples) in lectures and in online notes. Supervised problem-based practice classes will build your capacity to solve problems, to think critically and analytically and give you feedback on your academic progress. Five Closed Book Tests and six open book (practice classes) will consolidate your basic skills, e.g. in algebra and trigonometry and enhance your knowledge of the topics presented in class. Further feedback will be provided in the form of the marked and returned Exercise/Closed book Test papers .Homework problems set from the Supplementary Exercises found on Canvas and self-help tutorial questions will provide a focus for your private study

Overview of Learning Resources


A prescribed textbook and list of recommended references will be provided on Canvas. Students will also be able to access the following online learning resources :

  • Weekly Lecture Notes
  • Full solutions to Practice Classes/ Closed Book Tests.
  • Past exam papers.

These learning resources can be accessed through myRMIT.

Student will have access to the software package MATLAB through myDesktop.

Overview of Assessment


Assessment Tasks:

Early Assessment Task (Weeks 2-4) Two Class Exercises (2.5% each) and One Closed Book Test (7%).
Weighting (2.5%+2.5%+7%=12%)
This assessment task supports CLOs 1 & 3.

Assessment Task 2: Four Closed Book Test (7% each)
Weighting 28%
This assessment task supports CLOs 2, 4 & 5.

Assessment Task 3: Four Class Exercises (2.5% each)
Weighting 10%
Assessment task supports CLO 2, 3, 4 & 5.

Assessment 4: Final Exam
Weighting 50%

This assessment supports CLOs 1, 2, 3, 4 & 5.