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