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.
Prerequisites
VQB5612 - Scientific Principles for Fire Professionals
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Learning Outcomes
| 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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