Physics and astronomy
Mathematical Methods for Physics 2
Module code: F3202
15 credits in spring semester
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
- 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
The computer lab component of the course will introduce you to Python.
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.