PMAT 32622: Mathematical Methods

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Course Code            : PMAT 32622

Title                          : Mathematical Methods

Pre-requisites          : PMAT 22583

 Learning Outcomes:

At the end of this course, the student should be able to solve different types ordinary and partial differential equations using various techniques learned.

 Course Contents:

Special Functions: Legendre Polynomials, Bessel Functions

Laplace Transforms: Laplace Transform. Linearity, Shifting Theorems, Transforms of Derivatives and Integrals, Unit Step Function (Heaviside Function), Differentiation and Integration of Transforms.

Fourier Series: Fourier Series, Even and Odd Functions, Half-Range Expansions, Fourier Integral, Fourier Cosine and Sine Transforms

Partial Differential Equations (PDEs): Basic Concepts of PDEs, Wave Equation

Solution by Separating Variables, Use of Fourier Series, D’Alembert’s Solution of the Wave Equation. Characteristics

 Method of Teaching and Learning: A combination of lectures and tutorial discussions.

 Assessment: Based on tutorials, tests and end of course examination.

 Recommended Reading:

  1. Kreyszig, E., (10th edition, 2011) Advanced Engineering Mathematics, Wiley.
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