## Academic

The department provides range of mathematics courses for the engineering undergraduate programmes, as well as courses in Technology, Value and Ethics for both the undergraduate and postgraduate levels..

**Mathematics courses**

**Engineering Mathematics 1 (MATH 1310)**

Complex numbers, vectors and geometry in space, matrix algebra, eigenvalues and eigenvectors, linear system of equations, differentiation and integration with applications.

**Engineering Mathematics 2 (MATH 1320)**

Multivariable functions, quadratics surfaces, partial derivatives and applications, multiple integrals with applications, vector valued functions, vector calculus, infinite power series, series solution of linear differential equation, Laplace transformation.

**Differential Equations (MATH 2310)**

Complex functions and derivatives, analyticity of function, complex integration, ordinary differential equations and modelling, partial differential equations and modelling, numerical methods to solve ordinary and partial differential equations.

**Differential Equations and Statistics (MATH 2320)**

Linear ordinary differential equation (ODE) with constant and non-constant coefficients, systems of ODEs, numerical solutions of ODEs. Probability, discrete and continuous random variables, estimation, hypothesis testing, simple and multiple linear regressions analysis, experimental design.

**Computational Methods and Statistics (MATH 2330)**

Numerical solution of linear systems, curve fitting and interpolation, numerical differentiation and integration, numerical solutions of ordinary differential equations. Probability, discrete and continuous random variables, estimation, testing hypothesis, simple and multiple linear regressions analysis, experimental design.

**Complex Analysis and Numerical Methods (MATH 2340)**

Complex functions and derivatives, analyticity of function, complex integration, Taylor and Laurent series, orthogonal functions and Fourier series, Fourier-Legendre series, Fourier-Bessel series, numerical solution of linear system, curve fitting and interpolation, numerical differentiation and integration, numerical solutions of ordinary differential equations.

**Partial Differential Equations (MATH 2350)**

Orthogonal functions, Fourier, Fourier-Legendre and Fourier-Bessel series, Laplace and Fourier transforms, underlying theory of partial differential equations, heat, wave and Laplace’s equations, orthogonal series expansions, partial differential equations in polar, cylindrical and spherical co-ordinates, numerical methods to solve partial differential equations, applications in modelling of engineering problems.

**Other courses**

**Engineering Ethics from Islamic Perspective (GENE 4300)**

This course relates religion, ethics and important themes of humanity and nature to engineering studies. The central theme of this course is to relate Engineering Professionalism to Islamic ethical foundations. The course also focuses on Occupational Safety and Health Administration (OSHA) and the different industrial hazards and disasters that may affect human lives and the ecological system. In a nutshell, the course is designed to infuse religious and ethical conscious into Muslim future engineers.

**Values, Technology and Society (RKGS 6000/6001)**

Lessons from the past Muslim achievements in science and technology; comprehend the social, economic and political impacts of technology in the Muslim world; Islamic worldview and valuesof science and technology development.

**Islamization of Engineering Studies (RKGS 7000)**

This course focuses on the intellectual content of “Islamization of Knowledge”. Attention will be given to the role of Islam in the development of engineering sciences within the perspectives of morality. Topics to be discussed include: the role of revelation and reason on engineering studies, the Islamic paradigm of knowledge and methods of Islamizing engineering studies.