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ENGR 8761 Engineering Mathematics

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ENGR 8761 Engineering Mathematics:

The unit is being covered for students who are pursuing a Graduate Diploma in Engineering Science. This unit makes the students learn about basic mathematics that is an essential and fundamental component in all streams of undergraduate studies in sciences and engineering. The unit gives an introduction to students about linear algebra and the ordinary differential equations including the general numerical steps to interpret systems of equations. The unit consists of all the topics including the differential calculus, the integral calculus, the linear algebra, and the differential equations with applications to numerous engineering problems. This unit mainly covers the following topics including the  Mean Value Theorems, the Indeterminate Forms, the  Taylor's and Maclaurin's Theorems, the Partial Derivatives, the Differentiability, Taylor's Expansion of the Functions of the Several Variables, the  Maxima and the Minima, the Improper Integral, Differentiation under Integral Sign, the Multiple Integrals and their Properties, the  Applications of Multiple Integrals, the System of Linear Equations, the Vector Spaces, the Basis and Dimension of a Vector Space, the  Rank of a Matrix and its Properties, the Linear Transformation, the Eigen values, and the Eigenvectors,  Diagonalization, the First Order Differential Equations, the Higher-Order Differential Equations with the  Constant Coefficients and the  Cauchy-Euler Equations.

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