The University of Sheffield (TUOS) • Maths

My notes on the course Elementary Differential Geometry at the University Of Sheffield. I do not claim all the content here is mine, it's mostly the images and equations that are copy-pasted from the lecturer's notes. But the descriptions/explanations are in my own words. Achieved an MPhys 1st Class Honours in theoretical physics. Contents: Angles In A Triangle The Inner Product Curves And Parameterisations Smooth And Regular Functions Arc Length Unit Speed Parameterisation Curvature Turning A...

My notes on the course Mechanics And Fluids at the University Of Sheffield. I do not claim all the content here is mine, it's mostly the images and equations that are copy-pasted from the lecturer's notes. But the descriptions/explanations are in my own words. Achieved an MPhys 1st Class Honours in theoretical physics. Contents: The Work Energy Principle Planetary Orbits Angular Momentum Conservation Of Angular Momentum Kepler's Laws Centre Of Mass Moment Of Inertia The Laplacian The Advective...

My notes on the course Advanced Calculus And Linear Algebra at the University Of Sheffield. I do not claim all the content here is mine, it's mostly the images and equations that are copy-pasted from the lecturer's notes. But the descriptions/explanations are in my own words. Achieved an MPhys 1st Class Honours in theoretical physics. Contents: Curvilinear Coordinates Linear Maps And Vector Subspaces Double And Triple Integrals Line Integrals Gradient Of A Scalar Field Stationary Points Constr...