The ability to apply logic, reason and mathematics in the solution of problems is a core skill. Mathematics gives physics its predictive power and ability to abstract and generalise the laws of nature often into a few, relatively simple, equations. This module seeks to develop core knowledge and skills required for degree level physics especially in terms of mathematical modelling.

Physics is completely dependent on rigorous, scientific experiments in both the discovery of new phenomena and in the testing of physical hypothesis. To be an experimental physicist requires the ability to make accurate measurements of physical properties, to gain insight from the observation of natural phenomena, and to design and construct experiments that can discriminate between different hypotheses. This module will provide an environment in which these skills can be gained and will, in addition to training in basic skills, have a strong emphasis of the creative aspect of designing experiments.

A part aim for this module is to enable students to become aware of and develop their academic, professional and personal skills through Personal Best. Personal Best is a development programme available to all students at Loughborough University.

As with all science and engineering disciplines, computing has become part of the core toolset of the professional physicist. Through problem solving, this module introduces its use for modelling and simulation of physical systems to students of all levels, regardless of computational background. It aims to introduce good programming practice and develop skills in scientific computation.

Good programming practice is emphasised throughout the module so that students should begin to appreciate the discipline of programming beyond that of developing simulations of simple physical systems. By the end of the module students should be equipped with the skills so that they can make meaningful progress on substantive problems that add real value to current technological problems.

The aim is to equip students with the necessary skills and knowledge to effectively utilise computational tools for solving complex problems in physics, while instilling ethical standards and best practices in coding to uphold integrity and reliability in scientific research.

The aims of this module are:

• to introduce the notion of convergence as this applies to sequences and series
• to introduce the notion of continuous function of one real variable
• to provide a firm basis for future modules in which the idea of convergence and continuity is used
• to help students recognize the necessity and power of rigorous argument

The two key aims of this module are:

• To introduce classical and analytical mechanics and some of the foundational principles of modern physics.
• To introduce physics thinking, the world view of the physicist and their problem solving approaches.

The students will gain knowledge in concepts in classical mechanics and experience in problem-solving. They will use foundational ideas and principles such as the principle of least action.

Skills range from using vectors to represent a system and applying Newton's laws, through to determining and analysing the equations of motion of a system using analytical mechanics and Noether's theorem.

The student should be able to use these ideas and principles to begin to be able to set up and solve models to better understand physical systems within the area of classical mechanics thus providing a strong foundation for the modules to be studied later in the programme.

The aims of this module are:

• to give a rigorous introduction to the analytical theory underpinning calculus for functions of one real variable
• to develop the basic ideas of real analysis in several variables

This module aims to provide a comprehensive introduction to electromagnetic theory, fields and special relativity, providing students a solid foundation in both conceptual understanding and analytical problem-solving skills. It emphasises core principles, such as the unification of electric and magnetic fields, enabling students to apply electromagnetic concepts to topics in modern physics and technology.