Physics and astronomy

Mathematical Methods for Physics 2

Module code: F3202
Level 4
15 credits in spring teaching
Teaching method: Lecture, Seminar, Practical, Workshop
Assessment modes: Coursework, Unseen examination

In this module, you cover:

Integration of scalar and vector fields
  • surface integrals of functions of two variables using Cartesian and polar coordinates
  • surface integrals of functions of three variables using Cartesian, spherical polar and cylindrical polar coordinates
  • volume integrals of functions of three variables using Cartesian, spherical polar and cylindrical polar coordinates
  • line integrals along two- and three-dimensional curves.
Differentiation
  • partial differentiation of functions of several variables
  • definition and interpretation of partial derivatives
  • partial derivatives of first and higher order.
Differentiation of scalar and vector fields
  • directional derivative
  • gradient, divergence and curl and their properties
  • theorems of Gauss, Stokes and their applications.

You are also introduced to Python in the computer lab component of this module.

Pre-requisite

Pre-requisites:
Level 4: (F3201) Maths Methods 1 [T1]

Module learning outcomes

  • A successful student should be able to: compute physical quantities like mass, electric charge and moment of inertia of two and three dimensional objects and the work done by a force on a particle when moving it along a given path.
  • Demonstrate a mathematical and physical understanding of the differential vector operators grad, div, and curl.
  • Demonstrate a basic understanding of Gauss' and Stokes' Theorems.
  • Use Python to solve simple mathematical problems.