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.
VQB5612 - Scientific Principles for Fire Professionals
|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.|
|Assignment||Assignment 1 (1500 words)||25%|
|Assignment||Assignment 2 (1500 words)||25%|
|Assignment||Assignment 3 (3000 words)||50%|
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)
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