Introduction to Cosmology
Cosmology is the scientific study of the Universe as a whole. It aims to understand what the Universe is made of, and its evolution from the Big Bang until today (and into the future).
You’ll study:
- observational evidence for the Big Bang
- how the expansion of the Universe depends on its contents and geometry
- how the contents of the Universe evolve as it expands and cools
- dark matter and dark energy: observational evidence and the latest theoretical models
- inflation, a proposed period of accelerated expansion in the very early Universe
From Accelerators to Medical Imaging
Science is the cornerstone of modern healthcare. For example, in the UK’s National Health Service (NHS) more than 80% of clinical decisions are informed by scientific analysis.
In this module, we will explore some of the critical technologies that underpin these decisions. The course begins by exploring particle accelerators, and how they are used to create, for example, high energy photons or anti-matter particles. We will then see how these are used to either diagnose or treat illnesses such as cancer.
We will look closely at medical imaging techniques such as X-ray computed tomography (the CT scan), exploring the mathematics of how high-definition images of the body can be formed. We will cover nuclear medicine – how radiation can be used to track the function of organs in the body – and how advanced mathematical models feed into diagnostic decisions.
Scientific Computing
This module aims to provide you with the skills necessary to use computational methods in the solution of non-trivial problems in physics and astronomy. You’ll also sharpen your programming skills through a three hour computing class and one hour of lectures per week.
Extreme Astrophysics
This module explores the physical processes involved in the most extreme environments known in the Universe. Among the objects studied are neutron stars, black holes, supernova explosions, and active galactic nuclei.
Imaging and Manipulation at the Nanoscale
The invention of the scanning tunneling microscope (STM) in the 1980s has led to a revolution in the imaging of surfaces and has provided an enormous stimulus for the development of nanoscience. The operation of a scanning probe microscope relies on the interaction between a local probe and a surface. A family of techniques has been derived from the STM which exploit a range of different forces and other interactions for image formation. The most widely-used of these techniques is atomic force microscopy which, unlike, STM, can be used to image insulating samples. In this module the focus will be on the development of physical models to describe the interaction between a local point-like probe and a surface. The operation of the STM will be considered in detail together with design considerations which are common across all scanning probe microscopes. In the second half of the course, forces between the tip and sample will be considered and methods for measuring these interactions will be discussed. The probe-surface interaction can also be used to modify the surface with a specificity which can result in placement of single atoms and molecules and these patterning processes will be discussed. Throughout the course images from the current research literature will be introduced to inform students of the range of possible applications of this these techniques.
Theoretical Elementary Particle Physics
Particle physics has been hugely influential in both science and society, from the discovery of the electron to the detection of the Higgs boson. In this module you will be introduced to the mathematical tools required to understand our current description of the Standard Model of particle physics.
You’ll study:
- The Dirac equation, which describes electrons, quarks and neutrinos
- How symmetry and conservation laws are crucial in particle physics
- The Feynman approach to computing the scattering of particles
The Structure of Stars
In this module you will learn how the same physics that works on Earth – gravity, electromagnetism, thermodynamics, optics, quantum physics, atomic and nuclear physics – is used to understand stars. You will explore the most important physical processes occurring in stars of different types. You will then use this knowledge to build mathematical models of stars and to understand their internal structure, their formation, evolution, and death.
You’ll study:
- How astronomers measure the most important properties of stars such as their mass, size, distance, brightness, temperature, chemical composition and age. This module will then teach you how physics is able to explain these properties.
- How energy is generated inside stars through nuclear fusion, and how it is transported to the surface to make stars shine.
- How to write the equations that describe the structure of stars, and how to use them to build mathematical models that explain their properties and evolution.
- How stars are born, how they evolve with time, how long they live, how they die, and what remnants they leave behind. You will be able to understand, for instance, how supernovae explode and how some black holes form.
Force and Function at the Nanoscale
We will study some of the fundamental forces at the nanoscale and look at the role of key concepts such as entropy. We will also learn how we can visualise and measure the nanoscale structures that form.
The nanoscale world is very different from our regular experience. Thermal energy pushes and pulls everything towards a state of disorder whilst nanoscale forces allow for materials to resist this and stay together. We will study some of the fundamental forces at the nanoscale and look at the role of key concepts such as entropy. We will also learn how we can visualise and measure the nanoscale structures that form.
While the forces we will study operate over distances as small as 1 nanometre we will explore how these concepts are responsible for phenomena in our everyday world we often don’t even think about:
- Why is a droplet spherical?
- What is going on when you scramble an egg?
- How can a gecko walk across a perfectly smooth ceiling?
- Why do you use soap when you wash?
- Why don’t oil and water mix?
The Structure of Galaxies
This module will develop your current understanding of the various large-scale physical processes that dictate the formation, evolution and structure of galaxies, from when the Universe was in its infancy to the present day.
You’ll explore a range of topics, starting with the fundamentals of observational techniques used by astronomers for understanding the structure of our own galaxy, the Milky Way. We will then look at the more sophisticated ways of unpicking the physics that drives the complexity we see throughout the population of galaxies in the Universe.
Specifically, in this module, you will study:
- The structure of the Milky Way – how we determine the structure of the Milky Way, its rotation curve and what this implies for its dark matter content
- Properties of galaxies in the Universe – how astronomers classify galaxies, the properties of the different classes and how their constituents vary between classes
- Dynamics of galaxies – kinematics of the gas and stars in galaxies, why spiral arms form, the theory of epicycles, bar formation, different types of orbits of matter within galaxies
- Active galaxies – radio galaxies, quasars and active galactic nuclei, super-massive black holes
- The environment of galaxies – how the environment that a galaxy resides in affects its evolution and structure
- Galaxy evolution – observations of galaxy evolution from the early Universe to the present day, models of galaxy evolution.
Symmetry and Action Principles in Physics
Symmetry plays a central role in physics. Most of the fundamental Laws of modern physics have been formulated using symmetry principles. Symmetry is also expected to guide for further understanding and development of theories of physical phenomena.
Through a combination of lectures, engagement sessions and workshops, this module equips you with:
- the key concepts of symmetry
- the correspondence between symmetries and conservation laws
- the derivations of physics laws from the action principles
- and the consequences of symmetry breaking.
You’ll study:
- Symmetries of space and phase space using classical mechanics
- Symmetries of spacetime and in electromagnetism using special relativity
- Main symmetry groups of modern physics laws
- How structures in nature are results of symmetry breaking.