Engineering Mathematics with Applications to Fire Engineering

Khalid Khan, B.Sc. (Hons), M.Sc., Ph.D., received his B.Sc. (Hons) in Mathematical Physics, M.Sc. and Ph.D. in Control Systems all from the Unversity of Manchester Institute of Science and Technology in the United Kingdom. Dr Khan then spent two years as a Consultant Engineer working on safety, reliabilty and risk assessment problems in the energy industry. Subsequently, he moved abroad and after spending some period of time as an Assistant Professor of mathematics at Eitisalat University in the United Arab Emirates he returned to the United Kingdom and took up a position at the University of Central Lancashire.Dr Khan is currently a Senior Lecturer in Engineering Mathematics in the School of Engineering at the University of Central Lancashire. He teaches on a range of mathematics modules within the Fire degree programmes and contributes to other mathematics teaching within the School and College. He is currently the course leader for the Foundation Degree in Fire Safety Engineering. Dr Khan as part of the Fire Team has been involved in the development of a range of courses in Fire Safety Engineering and Management that are currently running at one of UCLan’s International partnerships in Qatar. Dr Khan’s research interests are in the area of mathematical modelling of system behaviour in a range of applications. His current work focuses on fire suppression using sprinkler systems and on mathematical models of collective motion of self-propelled particles in homogeneous and heterogeneous mediums. Dr Khan has currently over thirty publications and is also a member of two journal review panel boards.Tony Graham, B.Sc. (Hons), Ph.D., is a senior lecturer and course leader at University of Central Lancashire, UK. Best known for teaching fire safety engineering to thousands of students over 24 years in different countries and for papers on compartment fire dynamics and the phenomenon of flashover fire. His teaching also includes risk engineering and engineering analysis. He has taught courses at International College of Engineering and Management in Sultanate of Oman and also in City University of Hong Kong, he is a senior fellow of Higher Education Authority and Secretary of the Combustion, Explosion and Fire Engineering research group in School of Engineering and has served on both Academic Board and Academic Standards and Quality Assurance Committee. His research was funded by Nuffield Foundation and is ongoing.Before all of that, he read B.Sc. (Hons) Theoretical Physics at Lancaster University, and subsequently was awarded his Ph.D. in Fire Engineering in 1998 from the University of Central Lancashire. For the future, Dr Graham is looking at two books on fire engineering science and risk engineering. Dr Graham, along with beloved wife Anna and daughter Natalia now prosper in Preston, in sunny Lancashire.

• 1 Review of Basic Concepts 2 Introduction to Probability Theory 3 Vectors and Geometrical Applications 4 Determinants and Matrices 5 Complex Numbers 6 Introduction to Calculus 7 Ordinary Linear Differential Equations 8 Laplace Transforms 9 Fourier Series and Fourier Transforms 10 Multivariable Calculus 11 Vector Calculus