Applied Calculus

Summer School modules are designed to be intensive, intellectually-stimulating short courses. They are taught by King’s academics in academic disciplines where King's has expertise. Classes are very international with students from all around the globe learning together.

Each module is 150 study hours comprising intensive teaching, independent study and group work and is examined to university standards. Comparable to an in-semester 15-credit King’s undergraduate module and therefore typically awarded 3-4 US credits or 7.5 ECTS, many summer students ask their home institution to award them external credit for their King's summer module to use towards their degree programme when they return home.

This course will explore mathematically modelling real-world problems arising from fields such as biology, economics, and engineering and will examine how to re-interpret these problems into questions about rates of change and average behavior of mathematical functions. This naturally motivates mathematical questions which we will study and analyze using methods developed in Calculus. The course will cover the material found in an introductory one semester Calculus course including: trigonometric, logarithmic, and exponential functions; graphs; limits; the mean value theorem; derivatives and integrals; the fundamental theorem of calculus; methods of integration; applications to physics, biology, and economics.

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

· Construct mathematical models that represent real-life problem in terms of mathematical functions

· Understand how to compute derivatives and integrals of mathematical functions

· Analyse mathematical models, using graphs, functions, derivatives, and integrals

· Understand how to optimize revenue in terms of production level

· Derive methods to understand the economic interaction of price and demand using rates of change

· Synthesize approaches to model population growth and radioactive decay

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.

(1) 40% Coursework

(2) 30% MCQs

(3) 30% 2 hour written examination

Taught on-campus 9am and 5pm from Monday to Friday