Description

Course Description – Differential Equations

This course provides students with advanced mathematical knowledge required for modelling and solving engineering and scientific problems using differential equations and integral transformations. It develops analytical and problem-solving skills through the study of sequences, series, multivariable functions, ordinary differential equations, and transform methods that form the mathematical foundation of many engineering disciplines.

The course covers key topics including sequences and series, convergence tests, power and Taylor series, Fourier series and Fourier transforms, functions of several variables, partial derivatives, local extrema, ordinary differential equations and systems, nonlinear differential equations, and Laplace transforms for solving initial value problems. Students also explore mathematical modelling techniques and computational approaches for analysing real-world engineering systems.

Upon successful completion of the course, students will be able to classify and solve different types of differential equations and systems, apply Fourier and Laplace transformation methods, analyse multivariable mathematical models, and use appropriate analytical techniques to model and solve engineering and scientific problems.

Learning Outcomes

• Communication skills: unambiguous and accurate expression, written and oral. • Use of information communication technology: using programs for symbolic and numerical computing. • Calculation skills: learning diverse calculation procedures. • Problem solving: identifying and solving mathematical problems.