Mathematics and Numerical Computations for Civil Engineering (MATH 302) German University in Cairo (GUC)

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.

The German University in Cairo, GUC, is an Egyptian Private University founded by the presidential decree 27/2002, according to the law number 101/1992 and its executive regulations number 355/1996.

German university in Cairo/Deutsche Universität in Kairo has been established in 2002 in cooperation with the State Universities of Ulm and Stuttgart, under the patronage of the Egyptian Ministry of Higher Education, the Ministry of Science, Research and Arts, State of Baden- Württemberg, Germany, and supported by the German Academic Exchange Service (DAAD), the German Embassy in Cairo, the Arab/German Chamber of Industry and Commerce (AHK), the Federal Ministry of Education and Research, Germany, The State University of Tübingen and The State University of Mannheim.

The German University in Cairo is an independent, non-profit oriented Egyptian private institution, managed by a consortium of Germans and Egyptians with the vision of building a leading center of excellence in teaching and research that will effectively contribute to the general welfare nationally and internationally and endeavour the scientific, technical, economic and cultural cooperation between Egypt and Germany.

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