Course Summary – Elementary Differential Equations

Course Code: MTH21213
Course Title: Elementary Differential Equations
Programme: B.Sc. Industrial Mathematics / Computer Science / Related Disciplines

Course Description:
This course introduces students to the fundamental concepts, techniques, and applications of ordinary differential equations (ODEs). It emphasizes analytical methods for formulating, solving, and interpreting differential equations that describe real-world phenomena in science, engineering, and applied mathematics.

Students learn to classify differential equations, solve first- and second-order ODEs, apply initial and boundary conditions, and interpret the meaning of solutions in practical contexts. The course lays the mathematical foundation for advanced study in mathematical modelling, classical mechanics, and dynamical systems.

Course Content Overview:

Basic concepts and definitions

Classification of differential equations

First-order differential equations: separable, linear, homogeneous, exact, Bernoulli’s, and applications

Second-order linear differential equations with constant coefficients

Homogeneous and non-homogeneous equations

Method of undetermined coefficients and variation of parameters

Introduction to systems of differential equations

Applications to physical, biological and economic models