Mathematics for Fire Safety Engineers

Unit code: VQB5781 | Study level: Postgraduate
Credit points
12
(Generally, 1 credit = 10 hours of classes and independent study.)
Location
City Campus
Prerequisites
VQB5612 - Scientific Principles for Fire Professionals
(Or equivalent to be determined by unit coordinator)
Overview
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Overview

Sound knowledge of mathematics is required for understanding the techniques and tools of analysis of fire safety designs.

Core topics of this unit will include integration/ differentiation, vectors, matrices, linear equation, 1st and 2nd order linear differential equations and Taylor’s series. Other topics will be chosen from numerical methods, vector calculus and partial differential equation.

Learning Outcomes

On successful completion of this unit, students will be able to:

  1. Apply calculus method to problems in risk engineering;
  2. Use matrices to solve simultaneous linear equations;
  3. Apply first order and second order ordinary differential equations to problems in fire safety;
  4. Perform numerical integration and differentiation in the applied context; and
  5. Perform numerical methods of differential equations representing engineering systems.

Assessment

For Melbourne campuses

Assessment type: Assignment
|
Grade: 25%
Assignment 1 (1500 words)
Assessment type: Assignment
|
Grade: 25%
Assignment 2 (1500 words)
Assessment type: Assignment
|
Grade: 50%
Assignment 3 (3000 words)

Required reading

Advanced Engineering Mathematics
Kreyszig, E., (2010)| John Willey & Sons, NY.
Thomas' Calculus
Thomas, G. B., Weir, M. D., Hass, J. and Giordano, F. R., (2009)| Addison-Wesley.
Schaum's Outline of Partial Differential Equations
DuChateau, P. and Zachmann, D. W., (2011) | McGraw-Hill.

As part of a course

This unit is not compulsory for any specific course. Depending on the course you study, this unit may be taken as an elective.

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