Browse Hierarchy MTH4115: Vectors and Matrices

Properties of two- and three-dimensional space turn up almost everywhere in mathematics. For example, vectors represent points in space, equations describe shapes in space and transformations move shapes around in spaces; a fruitful idea is to classify transformations by the points and shapes that they leave fixed. Most mathematicians like to be able to 'see' in special terms why something is true, rather than simply relying on formulas. This model ties together the most useful notions from geometry - which give the meaning of the formulas - with the algebra that gives the methods of calculation. It is an introductory module assuming nothing beyond the common core of A-level Mathematics or equivalent.