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

Location:
Study level:
Postgraduate
Credit points:
12
Unit code:
VQB5781

Prerequisites

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

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)
Addison-Wesley.

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

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