How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.

13 January 2027. Applications close at 6pm UK time. Applications may stay open after this UCAS Equal Consideration deadline, please check UCAS for details. A*A*A with A*A* in Mathematics and Further ...

13 January 2027. Applications close at 6pm UK time. Applications may stay open after this UCAS Equal Consideration deadline, please check UCAS for details. A*A*A with A*A* in Mathematics and Further ...

Please ensure you check the module availability box for each module outline, as not all modules will run in each academic year. Each module description relates to the year indicated in the module ...

Metamaterials, which are artificially engineered materials, have significantly expanded the possibilities of wave manipulation. Rapid advancements in metamaterial design and fabrication have fostered ...

Gain a clear understanding of line integrals through the vector field 𝐹 = 𝑋 𝑖 ^ × 𝑌 𝑖 ^ − 𝑌 𝑖 ^ F=X i ^ ×Y i ^ −Y i ^ in this detailed physics and math tutorial. This video breaks down the ...

There will be homeworks, followed by the final project. Everyone needs to present their work and submit a project report. 1-page Final Project proposal due : just before Spring Break Final Project ...

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. Explore both mathematics and physics in depth, covering a wide range of topics ...