Vector Calculus module (MA31007)

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Module code


About the module

The aim of this module is to provide the Level 3 student with a variety of basic mathematical techniques with which to analyse a wide class of mathematical models arising in science and engineering. This module is mandatory for all Level 3 students on Mathematics (including Mathematics combined) degrees. If you have questions about this module please contact your Advisor of Studies.


Students taking this module must have achieved a pass mark in each of the modules MA21001 and MA22001, or equivalents.

Indicative Content

  • Revision of vector products and scalar functions of three variables.

  • Orthogonal coordinates.

  • Curves in space, parameterization and arc length

  • Surfaces in space, parameterization, normal vectors and tangent planes.

  • The operators grad, div, curl.

  • Line integrals, surface integrals, and volume integrals.

  • Divergence Theorem and Stokes Theorem.

  • Scalar and vector potentials.


Delivery and Assessment

The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (80%) and coursework (20%).

Credit Rating

This module is a Scottish Higher Education Level 3 or SCQF level 9 module and is rated as 15 SCOTCAT credits or 7.5 ECTS credits.