Description

Course Description – Differential Equations

This course provides students with a comprehensive understanding of differential equations and related mathematical methods that are fundamental to engineering, physics, and applied sciences. It develops the theoretical knowledge and analytical skills required to model, analyse, and solve mathematical problems arising in scientific and engineering applications.

The course covers key topics including sequences and series, power and Taylor series, Fourier series and Fourier transforms, functions of several variables, partial derivatives, local extrema, ordinary differential equations, systems of differential equations, and the Laplace transform. Students learn analytical techniques for solving first- and higher-order differential equations, applying integral transformations, and modelling dynamic systems encountered in engineering and technology.

Upon successful completion of the course, students will be able to identify and classify different types of differential equations, apply appropriate analytical methods for their solution, use mathematical software to support symbolic and numerical computations, and develop mathematical models for solving engineering and scientific problems.

Learning Outcomes

On completion of this course the student will be able to recognize different types of differential equations, select an appropriate method for solving certain differential equation or system, model simple problems from science and technology using differential equations.