University of Computer Studies, Pathein

The aims of this course:

To identify the types of problems that require numerical techniques for their solution.
To solve problems by step-wise, repeated and iterative solution methods.
To provide a foundation for further study of numerical analysis and scientific computing.
To solve problems without an analytical solution.
To find solutions of higher order linear differential equations.
To solve non-homogeneous ODEs without solving the homogeneous ODEs and handle complicated inputs very efficiently.
To familiarize the students with the concepts of Fourier series and Fourier transform.
To analyze the spectral characteristics of signals using Fourier analysis.
To understand how to find solution of higher order homogeneous and non-homogeneous linear partial differential equations.
To know how the Cauchy-Riemann equations are related to the important Laplace equation.

The successful completion of this course, Student will be able:

To solve a linear system of equations using an appropriate numerical method.
To provide the numerical methods of solving the non-linear equations, interpolation, differentiation, and integration.
To improve the student's skills in numerical methods by using the numerical analysis software and computer facilities.
To determines the type of a linear differential equation systems and uses the operator method to solve linear systems with constant coefficients.
To solves the linear systems in normal form and solves the homogeneous linear systems with constant coefficients.
To be able to use the Laplace transform in finding the solution of linear differential equations.
To be explains basic properties of Laplace transform to expresses the inverse Laplace transform.
To be focus of this course is to familiarize the students with the concept of Fourier transform & Fourier series.
To be analyze the spectral characteristics of signals using Fourier analysis.

Reference Book's Photo	Reference Book's Materials
	“ADVANCED ENGINEERING MATHEMATICS” 10th EDITION ERWIN KREYSZIG HERBERT KREYSZIG EDWARD J. NORMINTON

Assessment Plan for the Course
Paper Exam	60%
Tutorial	20%
Assignment	20%

Differential Equations and Numerical Analysis