Applied Maths: Understanding Engineering through Numbers

Undergraduate Summer School modules are intellectually stimulating, dynamic and highly participative. They are taught by leading King’s academics who are experts in their field. Classes are highly international with students from all over the world.

Each module comprises 150 study hours, including teaching, independent study and group work. Our undergraduate modules are examined to university standards and can be taken for credit towards degrees at other institutions.

This module is based on a 15-credit King’s undergraduate module and therefore typically awarded 3-4 US credits or 7.5 ECTS. To receive credit for King's summer modules, contact your home institution to ask them to award external credit.

This module provides a comprehensive overview of the important mathematical concepts and methods needed for a university-level study of physical sciences and engineering. The focus will be on applications of these methods to a variety of real-world problems from physics and mechanics.

You will be exposed to cutting-edge applications of mathematics, including those based on your tutors' research activities in biomedical engineering.

On completion of the course the students should be able to:

• Manipulate and perform algebraic computations with complex numbers and solve standard geometric and trigonometric equations;
• Manipulate and perform computations with vectors and matrices in two and three dimensions, and have a strategy for higher dimensions;
• Compute manually derivatives, integrals and related calculus operations (such as Taylor series, special functions) in one, two and three dimensions, and have a strategy for higher dimensions;
• Solve first and second order ordinary differential equations;
• Appreciate how the concepts above apply to a variety of real-world problems from physics and mechanics. 

The King's College London Undergraduate Summer School is open to students who are currently, or have been, enrolled in an undergraduate degree programme. We also welcome applications from professionals who have substantial relevant experience in their chosen subject area.

You should ensure that you are eligible to apply before you submit your application by checking our academic and English language entry criteria.

Undergraduate Online Summer School modules comprise 150 study hours over three weeks, which includes a minimum of 45 hours contact hours, as well as independent study, team project work and assessment preparation.

Teaching takes place between 9am and 5pm from Monday to Friday in one of our central London campuses. Students will receive their module timetable before they arriving on campus in June 2022.