Mathematics and Numerical Computations for Civil Engineering (MATH 302)
Media Engineering and Technology Faculty
The course continues with vector calculus which introduces a calculus in several variables. Differentiation of functions in more than one variable is examined and the external values of these functions are discussed. Specifically this course covers operations like gradients, divergents, curls of scalar and vector fields. In addition important integral theorems like Green’s, Stoke’s and Gauss’s theorem are introduced and the application to scalar and vector fields is discussed. For functions in more than one variable differential equations (partial differential equations PDE) like the diffusion and wave equation are derived and the solution strategies for linear PDEs is discussed as an initial and boundary value problem. The solutions are derived by using Laplace and Fourier Transformations and the related Series. In addition Green’s solution procedure is used to solve linear PDEs. At the end of the course, MATLAB is introduced for Fourier Transformations and for graphical representation of functions and surfaces. The course topics include Vector Calculus, Integral Theorems, Integral Transforms, Fourier Series, Partial Differential Equations.