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Available courses

INTEGRAL CALCULUS

Engineering is all about problem solving and many problems in engineering can be solved using calculus.
Physicists, chemists, engineers, and many other scientific and technical specialists use calculus in their
everyday work; it is a technique of fundamental importance. Both integration and differentiation have
numerous applications in engineering and science and some typical examples include determining areas,
mean and rms values, volumes of solids of revolution, centroids, second moments of area, differential
equations and Fourier series. Besides the standard integrals covered in this chapter, there are a number of
other methods of integration covered in later chapters. For any further studies in engineering, differential
and integral calculus are unavoidable.

COMPLEX NUMBERS

Complex numbers are used in many scientific fields, including engineering, electromagnetism, quantum
physics, and applied mathematics, such as chaos theory. Any physical motion which is periodic, such as an
oscillating beam, string, wire, pendulum, electronic signal, or electromagnetic wave can be represented
by a complex number function. This can make calculations with the various components simpler than
with real numbers and sines and cosines. In control theory, systems are often transformed from the time
domain to the frequency domain using the Laplace transform. In fluid dynamics, complex functions are
used to describe potential flow in two dimensions. In electrical engineering, the Fourier transform is
used to analyse varying voltages and currents. Complex numbers are used in signal analysis and other
fields for a convenient description for periodically varying signals. This use is also extended into digital
signal processing and digital image processing, which utilise digital versions of Fourier analysis (and
wavelet analysis) to transmit, compress, restore, and otherwise process digital audio signals, still images,
and video signals. Knowledge of complex numbers is clearly absolutely essential for further studies in so
many engineering disciplines

Apply Coordinate Geometry

Apply Engineering Mathematics

This unit describes the competencies required by a technician in order to apply engineering mathematics. It involves competencies required to apply algebra, trigonometry and hyperbolic functions, complex numbers, coordinate geometry, carry out binomial expansion, calculus, solve ordinary differential equations, carry out mensuration, apply power series, statistics, numerical methods, vector theory and matrix.