In this module, you will learn how to extend techniques from calculus to vector-valued systems, through classical concepts such as gradient, divergence and curl. You will learn central theorems about these operators, and examine various applications and examples.

The integral of a function is a certain type of limit. But what is the best way to define this? What does the integral mean geometrically? Can it be extended beyond the nice functions we are used to? Are there any functions whose integral cannot be defined? This module answers these questions and more, introducing measures and the mathematical foundations of integration.

Everything in the world is linked together, and this module introduces the theory of networks which illuminates these mysterious links. You will begin with an introduction to the most common types of network and their mathematical properties, as well as typical network models. You will also use Python/R methods to model and analyse real-world networks.

How do you compare different income streams? You will be able to answer the question after studying this module which is critical in any financial decision making. In this module, all payments are assumed to be guaranteed and we will focus on the concept of valuing future monetary payments in terms of present. This module covers part of the CM1 course of the IFoA.

Relational databases and SQL are fundamental tools for applications in many different disciplines including humanities, life sciences, linguistics, marketing and social science. They are essential in almost all modern organisations for efficient information management in IT systems and commercial applications. The purpose of this module is to provide you with an introduction to the underlying principles of and practical experience in designing and implementing relational databases. It will cover data modelling and SQL, database analysis, design and management, and advanced topics including big data, security and privacy issues of modern databases.