Course Title: Engineering Mathematics B

Part A: Course Overview

Course Title: Engineering Mathematics B

Credit Points: 12.00

Course Code




Learning Mode

Teaching Period(s)


City Campus


145H Mathematical & Geospatial Sciences


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


City Campus


171H School of Science


Sem 1 2017

Course Coordinator: Dr Ian Grundy

Course Coordinator Phone: +61 3 9925 3220

Course Coordinator Email:

Course Coordinator Location: Office: 8.9.27

Course Coordinator Availability: by appointment (e-mail preferred)

Pre-requisite Courses and Assumed Knowledge and Capabilities


To successfully complete this course, you are expected to have capabilities consistent with the completion of VCE Mathematical Methods at Year 12 level. That is, 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; find the derivative of elementary functions from first principles and combinations of elementary functions using the product, quotient and chain rules; find the anti-derivative (integral) of elementary functions; use integral calculus to determine the area under a curve.

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, vector-valued functions, functions of several variables and differential equations) needed by chemical and environmental engineers. The course builds on the foundations laid in secondary school mathematics and in turn aims to lay the foundation for more advanced studies in mathematics undertaken in subsequent semesters and beyond. Topic areas include differentiation with applications, functions and their derivatives, integration and its applications, methods of integration, vectors, vector-valued functions, functions of several variables, differential equations.

Objectives/Learning Outcomes/Capability Development


This course contributes to the following Program Learning Outcome:

Knowledge and Skill Base:

1.2 Conceptual understanding of mathematics, numerical analysis, statistics, computer and information sciences which underpin the engineering discipline

BH079 Bachelor of Engineering (Chemical Engineering) (Honours)

BH080 Bachelor of Engineering (Environmental Engineering) (Honours)

BH085 Bachelor of Engineering (Chemical Engineering) (Honours) / Bachelor of Business (Management)

BH087 - Bachelor of Engineering (Chemical Engineering) / (Honours)/Bachelor of Science (Biotechnology)

BH095 Bachelor of Engineering (Chemical Engineering)/Bachelor of Pharmaceutical Science)

BH096 Bachelor of Environmental Science/Bachelor of Engineering (Environmental Engineering) (Honours)

BH098  Bachelor of Science (Applied Chemistry) / Bachelor of Engineering (Chemical Engineering) (Honours)

BH099 Bachelor of Science (Food Technology & Nutrition) / Bachelor of Engineering (Chemical Engineering) (Honours)

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. Utilise techniques of integral and differential calculus to formulate and solve problems involving change and approximation, including problems with more than one variable;
  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. Demonstrate the elementary properties of vectors, lines and planes and apply the techniques of vector analysis to problems involving three-dimensional geometry and motion;
  5. Formulate and solve differential equations.
  6. Interpret and report on the results obtained.

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, encourage you to think critically and analytically and provide feedback on your academic progress. Online tests and quizzes will consolidate both your basic skills, e.g. in algebra and trigonometry, and your basic knowledge of the topics presented in class. Homework problems set from the textbook and self-help tutorial questions will provide a focus for your private study.

Overview of Learning Resources

You will be able to access course information and learning materials through myRMIT and Blackboard. Blackboard will give access to important announcements, a discussion forum, staff contact details, the teaching schedule, online notes, tests and quizzes, self-help exercises and past exam papers. You are advised to read your student e-mail account daily for important announcements. You should also visit Blackboard at least once a day for  important announcements regarding the course and course-related documents.    

A Library Guide is available at :

Overview of Assessment


This course has no hurdle requirements.


Assessment Tasks:


Early Assessment Task 1 :  MathsReady Test

Weighting 3%

This assessment task supports CLO 1

Early Assessment Task 2 :  Practice Class 1

Weighting 4% (approx)

Note: The practice classes are completed fortnightly.

This assessment task supports CLOs 1, 2 & 4

Early Assessment Task 3 :  WebLearn Tests 1 - 4

Weighting 4% (approx.)

Note: The WebLearn tests are usually completed fortnightly.

This assessment task supports CLOs 1, 2 & 4

Assessment Task 4:  Practice Classes 2 - 5

Weighting 11% (approx)

Note: The practice classes are completed fortnightly.

This assessment task supports CLOs 1 – 6

Assessment Task 5 :  WebLearn Tests 5 - 14

Weighting 13%

Note: The WebLearn tests are (roughly) completed fortnightly.

This assessment task supports CLOs 1 - 6

Assessment Task 6:  Mid-Semester Test

Weighting 15%

Note: Closed book under exam conditions, Week 6

This assessment task supports CLOs 1, 2 & 4

Assessment Task 7:  Exam

Weighting 50%

Note: Closed book.

This assessment task supports CLOs 1 - 6