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.

Unit details

Study level:
Credit points:
Unit code:


VQB5612 - Scientific Principles for Fire Professionals

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 type Description Grade
Assignment Assignment 1 (1500 words) 25%
Assignment Assignment 2 (1500 words) 25%
Assignment Assignment 3 (3000 words) 50%

Required reading

Advanced Engineering Mathematics 10th ed.
Kreyszig, E., (2010)
John Willey & Sons, NY.

Thomas' Calculus 12th ed.
Thomas, G. B., Weir, M. D., Hass, J. and Giordano, F. R., (2009)

Schaum's Outline of Partial Differential Equations
DuChateau, P. and Zachmann, D. W., (2011)

Where to next?

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