MA2203

Solution to Assignment 2 is now available

 AIMS & OBJECTIVES

To introduce essential mathematical techniques to find the solution of Ordinary Differential Equations. Students must extensively practice and use to solve problems arising in various applications.

 PREREQUISITES    

MA1102 

 SYLLABUS

 1. Introduction
    Classification of differential equations: Type. order, linearity, homogeneity. Identifying and verifying the solutions of ODE. The graphical representations of solutions (isoclines and direction fields)

2.  First Order Equations
    Separable homogeneous equations, exact equations, integrating factor, linear equations, substitution techniques, special forms (Bernoulli, Ricatti, Clairaut).  Picard iteration.
Applications: growth and decay, heating and cooling, mixing.

3.  Second Order Differential Equations
    Homogeneous equation - Using one solution to find another. Homogeneous equation with constant coefficient.  Nonhomogeneous problem: using method of undetermined coefficient and method of variation of parameters.

ASSESSMENT     Coursework:  20%     Examination (2-hour paper):  80% 

REFERENCES

1. Elementary Differential Equations with Applications by Derrick and Grossman
2. Lecture notes in ODE by Nyugen Bong
3. An introduction to Differential Equations and their applications by Stanley J. Farlow

 assignment solution uploaded 

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