For anyone considering a mathematical engineering degree, one term you’re likely to come across early on is computational mathematics.
But what is computational mathematics, and why does it play such a crucial role in the field of mathematical engineering?
Whether you're passionate about solving real-world problems with advanced algorithms or interested in how mathematical models can be turned into computer simulations, understanding computational mathematics is a vital part of your academic and professional journey.
At its core, computational mathematics is the study of mathematical problems that are solved using numerical methods and computer algorithms. It blends theoretical mathematics with practical computing to tackle problems that are too complex—or even impossible—to solve analytically by hand.
So, what is computational mathematics used for? It enables scientists, engineers, and researchers to perform simulations, optimise systems, and predict outcomes across countless industries, including aerospace, finance, energy, and healthcare.
Unlike pure mathematics, which focuses on abstract theory, computational mathematics is highly applied. It’s about finding efficient, accurate ways to perform calculations on machines—and ensuring those results are reliable in the real world.
Computational mathematics finds application wherever complex mathematical models need to be implemented on computers. Some examples include:
In each of these fields, mathematical models are translated into a form that computers can process. Computational mathematics ensures that the numerical methods used are both efficient and accurate, often involving techniques such as differential equations, linear algebra, and optimisation.
Professionals working in computational mathematics typically come from backgrounds in mathematics, computer science, or engineering. These individuals are skilled at both formulating mathematical models and implementing algorithms to solve them.
Job titles might include:
In industry, these experts collaborate with engineers, physicists, financial analysts, and others to bring mathematical theory into practical application. Their role is crucial when precision, speed, and scalability are needed to solve high-stakes problems.
A computational mathematician does more than just write code. They are problem solvers who analyse real-world issues, develop mathematical models, and then design algorithms that can be implemented computationally. Their work often involves:
In many cases, computational mathematicians are also involved in writing research papers, developing software tools, and presenting their findings to multidisciplinary teams.
It’s a career that demands a blend of creativity, precision, and analytical thinking—all of which are cultivated through rigorous academic training.
If you're fascinated by the blend of maths and technology, a mathematical engineering degree is an ideal pathway. This type of degree covers a wide spectrum of topics, from advanced calculus and algebra to computer programming, numerical analysis, and systems modelling.
Students learn how to apply mathematics to engineering challenges using computational tools. You'll explore subjects such as:
You’ll also gain hands-on experience with programming languages like Python, MATLAB, or C++, and work on projects that reflect real-world engineering problems. This foundation not only helps you answer what is computational mathematics in theory but also enables you to use it in practice.
Graduates from mathematical engineering programmes such as that offered at Universidad Europea are in high demand in sectors like aerospace, renewable energy, software development, financial services, and research institutions.
Whether you want to simulate the next Mars landing or develop smarter algorithms for machine learning, a solid understanding of computational mathematics is essential. If you are keen on a career in the engineering sector, take a look at the engineering degrees at Universidad Europea and choose the programme that best suits your needs.