Module Overview
This module focuses on the concepts of the derivative and the Riemann integral, which are indispensable in modern sciences.
Two approaches are used: both intuitive-geometric, and mathematically rigorous, based on the definition of continuous limits. Important results are the Mean Value Theorem, leading to the representation of some functions as power series (the Taylor series), and the Fundamental Theorem of Calculus which establishes the relationship between differentiation and integration. Further calculus tools are explored, such as the general properties of the derivative and the Riemann integral, as well as the techniques of integration. In this module, students may deal with many "popular" functions used throughout mathematics.
Module Overview
This module presents an introduction to computer packages for analytic formulas manipulation (computer algebra) and technical computing. Students will also have the opportunity to develop skills including; utilising a logbook as a factual record and as reflective self-assessment to support their learning.
Module Overview
This module covers basic notions of modern physics. In electricity and magnetism these include Coulomb’s law, electrostatic vector and potential fields, magnetic fields, motion of charges and currents in electromagnetic fields, and the basics of electric circuits. In thermal these include the zeroth, and first and second laws of thermodynamics applied to different model situations. The quantum physics part introduces notions such as the wave-particle duality, the concept of wavefunction, energy quantization, and simple models of the atom.
Module Overview
This module introduces established theories describing optical, acoustic, and mechanical phenomena. The optics part includes Fermat’s principle of light propagation, Snell’s laws of reflection and refraction, thin lenses, and Huygens’s principle. The mechanics part includes the basic mathematical tools to describe the motion of objects (kinematics) and the laws of Newton (dynamics) underpinning these observed motions. The wave part of the module includes a discussion of propagating waves, the Doppler effect, phase and group velocities, and standing waves.
Module Overview
This module aims to introduce fundamental concepts in modern astronomy from planets up to the universe as a whole.
Module Overview
This module will provide students with the opportunity to learn practical skills needed for physical laboratory experiments.
The module provides a structured introduction to laboratory skills development with particular emphasis on measurement uncertainty. This module explores measurement and estimation followed by techniques in data analysis and presentation of data. Students will also have the opportunity to develop practical skills in a set of experiments which examples may include: basic electronic circuits, pendulum, Hooke's law, heat capacity, lenses.
Module Overview
This module describes vector spaces and matrices. Matrices are regarded as representations of linear mappings between vector spaces. Eigenvalues and eigenvectors are introduced, which lead to diagonalisation and reduction to other canonical forms. Special types of mappings and matrices (orthogonal, symmetric) are also introduced.
Module Overview
This module provides students the opportunity to learn a variety of transferable skills: to communicate scientific ideas via a variety of media, to work in groups, to manage and plan projects, to keep record of work.
Students have the opportunity to develop an understanding of general and specialized databases, their uses and searches. Group study can develop Students' skills in team-working around investigating a topic from literature. Students have the opportunity to take on administrative roles within the team and work towards common aims and objectives.