Vector and Integral Calculus

Learning Outcomes

Learning Outcomes

Having successfully completed this module you will be able to:

• Set up and evaluate triple integrals over simple regions
• Evaluate line, surface and volume integrals in simple coordinate systems
• Develop an understanding of how calculus, in both its differential and integral aspects, can be seamlessly extended from scalar functions of one variable to vector functions of many variables
• Adapt integration problems to different coordinate systems when appropriate and evaluate them
• Calculate grad, divergence and curl in Cartesian and other simple coordinate systems, and establish identities connecting these quantities
• Use Gauss’s and Stokes’ theorems to simplify calculations of integrals and prove simple results

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Repeat

An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.