This course provides an introductory knowledge to differential equations and its applications. The students are introduced to the first order differential equations and solve using analytical methods of separable variable and linear equations and also using numerical methods such as Euler’s method and second order Runge-Kutta method. Upon completion, the students are then introduced to the second order linear differential equations with constant coefficients and learn the methods of solving and its applications. The course is extended to the following chapters which include Laplace transform, Fourier series and partial differential equations and solving using numerical methods which is finite difference method (Parabolic, Hyperbolic).
Upon completion of this subject, students should be able to:
- LO1 Describe the basic concept of first and second order differential equations, Laplace Transform and Fourier series.
- LO2 Select an appropriate technique to solve problems involving differential equations.
- LO3 Apply the concept of differential equations in solving engineering problems