Homological algebra and module theory constitute a vibrant area of contemporary mathematics, interweaving concepts from algebra, topology and geometry. At its core, homological algebra studies chain ...

Before you start, it may be helpful to read the guides on coordinates and graphs from Module 2 (M2) and Module 3 (M3). When two lines are perpendicular, the product of their gradients is 1. Lines A ...

Before reading this guide, it may be helpful to read the guide from Module 7 (M7) about proportion and variation. Module 7 (M7) proportion and variation is concerned with direct proportion between two ...