Module description
Syllabus:
Surface sketching, partial derivatives, multiple integrals, geometry of curves, vector fields, geometry of surfaces, maxima and minima, generalised derivatives, Stokes’ Theorem, the Divergence Theorem.
Assessment details
Written examination and class tests. Details to be confirmed.
Exercises or quizzes will be set each week to be handed in the following week. These problems will be discussed in the tutorials and solutions will be available.
Educational aims & objectives
The course aims to extend the methods of calculus of one variable to calculus for functions of many variables, that is, calculus on higher dimensional spaces. This involves concepts such as multiple integrals and partial derivatives, which enable us to make sense of the idea of length of a curve, area of a surface, and maxima and minima of functions of many variables. The final part of the course presents the great integral theorems: Green’s Theorem, Stokes’ theorem and the Divergence Theorem which form a cornerstone of mathematics.
Teaching pattern
Three hours of lectures and one hour of tutorial per week throughout the term
Suggested reading list
Indicative reading list - link to Leganto system where you can search with module code for lists