30 Credits ACADEMIC YEAR



Co-requisites: MAS415

Aims/Description: Newton formulated his famous laws of mechanics and gravitation in the 17th century, but only later did it become clear, through the work of mathematicians Lagrange, Hamilton and Jacobi, that underlying Newton's work are deep mathematical structures. In the first semester, we will reformulate and unify mechanics and classical field theory (e.g. Maxwell's equations), starting with the stationary-action principle. We will derive Noether's theorem, which relates the symmetries of a system to conserved quantities in physics (such as energy, momentum and charge). In the second semester, we will explore Einstein's general theory of relativity, in which gravity arises through the curvature of spacetime. We will apply the mathematical tools of Riemannian geometry to explore some radical consequences of the theory, such as black holes, the big bang, and the expanding universe.

Staff Contact: JARVIS ASHLEY F
Teaching Methods: Lectures, Independent Study
Assessment: Formal Exam, Project/ portfolio

Information on the department responsible for this unit (Mathematics and Statistics):

Departmental Home Page
Teaching timetable

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NOTE
The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we'll consult and inform students in good time and take reasonable steps to minimise disruption.

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Teaching methods and assessment displayed on this page are indicative for 2021-22. Students will be informed by the academic department of any changes made necessary by the ongoing pandemic.

Western Bank, Sheffield, S10 2TN, UK