These are the lecture notes for the first part of MATH0005: Algebra 1. The notes are split into numbered sections, one for each teaching video. The notes are very similar to the video content, so you ...

An equation of the form \(y = mx + c\) where \(m\) and \(c\) are numbers, gives a straight line when values of \(x\) and corresponding values of \(y\) are plotted on a grid. A straight line is a ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

There are 4 main functions: a 1 is the same as the value returned by algebraic_connectivity_directed(G)[0] (see Ref. [2]). a 2 is the same as ã as described in Ref. [3]. a 3 is described in the proof ...