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Unit Code: MTH519

Unit Name: Engineering Mathematics II

Description: The first half of the unit consist of Vectors, Geometry (2D & 3D), Partial differentiation and Multiple integrals. Vectors are used to represent any number of physical objects or phenomena. Geometry is everywhere. Angles, shapes, lines, line segments, curves, and other aspects of geometry are every single place you look, even on this page. Letters themselves are constructed of lines, line segments, and curves!Partial derivatives are widely used in vector calculus and differential geometry. The multiple integral is a generalization of the definite integral to functions of more than one real variable, for example, f(x, y) or f(x, y, z). Integrals of a function of two variables over a region in are called double integrals, and integrals of a function of three variables over a region of are called triple integrals. The second half of the unit consist of Matrices and Laplace Transform. Matrix mathematics applies to several branches of science, as well as different mathematical disciplines. We see the results of matrix mathematics in every computer-generated image that has a reflection, or distortion effects such as light passing through rippling water. Before computer graphics, the science of optics used matrix mathematics to account for reflection and for refraction. Matrix arithmetic helps us calculate the electrical properties of a circuit, with voltage, amperage, resistance, etc. Basically, a Laplace transform will convert a function in some domain into a function in another domain, without changing the value of the function. The main application of the course is to introduce students to engineering modelling and solve it mathematically.

Learning Target Outcomes:

Prerequisite: MTH410

Prerequisite Sentence: N/A

Credit Point: 12

Offered In: Semester 2