Course Title: Engineering Mathematics C

Part A: Course Overview

Course Title: Engineering Mathematics C

Credit Points: 12.00


Course Code




Learning Mode

Teaching Period(s)


City Campus


145H Mathematical & Geospatial Sciences


Sem 1 2006,
Sem 2 2006,
Sem 1 2007,
Sem 2 2007,
Sem 1 2008,
Sem 2 2008,
Sem 1 2009,
Sem 2 2009,
Sem 1 2010,
Sem 2 2010,
Sem 1 2011,
Sem 2 2011,
Sem 1 2012,
Sem 2 2012,
Sem 1 2013,
Sem 2 2013,
Sem 1 2014,
Sem 2 2014,
Sem 1 2015,
Sem 2 2015,
Sem 1 2016,
Sem 2 2016


City Campus


171H School of Science


Sem 1 2018,
Sem 2 2018,
Sem 1 2019,
Sem 2 2019,
Sem 1 2020,
Sem 2 2020

Course Coordinator: Dr Michael Nyblom

Course Coordinator Phone: +61 3 9925 2189

Course Coordinator Email:

Course Coordinator Location: B015 F04 R018

Course Coordinator Availability: Appointment

Pre-requisite Courses and Assumed Knowledge and Capabilities

This course assumes that you have achieved a pass standard in either of the VCE mathematical methods courses, or equivalent.

You are expected to be able to correctly perform basic algebraic and arithmetic operations; solve quadratic and other algebraic equations;  solve simultaneous linear equations; recognise and apply the concepts of function and inverse of a function; recognise the properties of common elementary functions (e.g. polynomials and trigonometric functions); sketch the common elementary functions; solve mathematical problems involving functions.

Course Description

This course aims to provide a broad introduction to the fundamental mathematical techniques (single- and multi-variable differentiation and integration) and mathematical objects (vectors and vector-valued functions, complex numbers and functions of several variables) needed by aerospace, automotive, mechanical, mechatronic and manufacturing engineers. It builds on the foundations laid in secondary school mathematics and in turn aims to lay the foundation for more advanced mathematics courses that follow. Topic areas include vectors, complex numbers, differentiation with applications, functions and their derivatives, integration and its applications, methods of integration, vector-valued functions and functions of several variables.

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 complex numbers.
  • 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 (class exercises and class tests)


On completion of this course you should be able to:


  1. Apply the core mathematical skills such as arithmetic, algebraic manipulation, elementary geometry and trigonometry to a range of problems;
  2. Formulate and solve problems involving change and approximation, including problems with more than one variable, using techniques of integral and differential calculus;
  3. Recognise the properties of the common mathematical functions (polynomials, exponentials and hyperbolic functions, logarithms, inverse trigonometric and inverse hyperbolic functions) and their combinations commonly found in engineering applications;
  4. Recognise the properties of vectors and curves in space and apply the techniques of vector analysis to problems involving three-dimensional geometry and motion;
  5. Recognise the properties of complex numbers and apply complex numbers to the solution of algebraic equations.

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 provide feedback on your academic progress. Online tests and quizzes will consolidate your basic skills and gaps in your basic knowledge of the topics presented in class. Homework problems set from the prescribed textbook and self-help tutorial questions will provide a focus for your private study.

This course will be assessed by a combination of tutorial/practice class exercises, online assignments and an examination.

Overview of Learning Resources


A prescribed textbook and a list of recommended references will be made available on Canvas.

A Library Guide is available at

Overview of Assessment



Assessment Tasks:

Early Assessment Task: Maths Ready test and 2 class exercises
Weighting 3%+4%=7%
This assessment task supports CLO 1

Assessment Task 2: 9 class exercises
Weighting 21%
This assessment task supports CLOs 1-5

Assessment Task 3: Online assignments
Weighting 22%
This assessment task supports CLOs 1-5

Assessment 4: Final Exam
Weighting 50%
This assessment supports CLOs 1-5