# Physics and astronomy

## Mathematical Methods for Physics 2

Module code: F3202
Level 4
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

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

The computer lab component of the course will introduce you to Python.

### 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.