SECU0058 is an introductory course about simulation methods used in crime science. Within the space of 10 weeks, you will quickly learn how to develop, test...

SECU0058 is an introductory course about simulation methods used in crime science. Within the space of 10 weeks, you will quickly learn how to develop, test and apply powerful agent-based models to analyse crime problems. Learning is facilitated by mini lectures (incl. online videos), interactive lab sessions and one to one clinics. This course is highly recommended to all students with an interest in data science.

Module outline: This module outlines general theoretical principles that underlie cognitive processes across many domains, ranging from perception to language,...

Module outline: This module outlines general theoretical principles that underlie cognitive processes across many domains, ranging from perception to language, to reasoning and decision making. The focus will be on general, quantitative regularities, and the degree to which theories focusing on specific cognitive scientific topics can be constrained by such principles. There will be an introduction on general methods and approaches in cognitive science and some of the problems related to them. Later in the course, some computational approaches in cognitive science will be discussed. There will be particular emphasis on understanding cognitive principles that are relevant to theories of decision making.

Module aims: To know and understand the basic principles of cognition across many areas of cognition, and the big theoretical questions and challenges in the field, as well as common experimental methods and computational approaches.

WKB APPROXIMATION|DENSITY MATRIX FORMALISM|TIME-DEPENDENT PERTURBATION THEORY|MARKOVIAN OPEN QUAN

Outline:

This course aims to familiarise students with the fundamental concepts and mathematical frameworks of modern quantum science. The course begins...

Outline:

This course aims to familiarise students with the fundamental concepts and mathematical frameworks of modern quantum science. The course begins presenting a more formal and mathematical postulates approach to quantum mechanics than students have encountered in previous courses and then presents advanced concepts in wave-function quantum mechanics such as tunnelling in non-idealised potentials described via WKB approximation. The course then introduces students to formal mathematical approaches to study quantum dynamics of both isolated quantum systems and quantum systems in interaction with an environment. The advanced techniques the students are expected to learn in this part of the course include treatments of quantum dynamics via Suzuki-Trotter approximations, description of dynamics in the Interaction and Heisenberg pictures, time-dependent perturbation theory, and dynamics of open quantum systems via Markovian master equations.

Aims:

This course aims to:

review the basics of quantum mechanics to establish a common body of knowledge;
	extend this, by discussing these basics in more formal mathematical terms;
	explore the WKB approximation, as a method for studying tunnelling and quantum wells;
	explore advanced topics in the dynamics of quantum systems; including time-dependent perturbation theory, and the dynamics of open quantum systems;
	provide students with the techniques and terminology which they can apply in specialist courses and in their research projects.
Teaching and Learning Methodology:

This course is delivered via weekly lectures supplemented by a series of workshops and additional discussion.

In addition to timetabled lecture hours, it is expected that students engage in self-study in order to master the material. This can take the form, for example, of practicing example questions and further reading in textbooks and online.