MMA129 Linear algebra
Many problems in natural science and social science leads to large systems of linear equations. There exist different numerical methods to solve such systems with computers. Matrix is the mathematical key concept to analyze properties of systems of linear equations and the different numerical methods for solving the systems. The course aims to give basic understanding of matrices and their properties and this is achieved by studying vector spaces and linear transformations between such spaces. The theory of vector spaces is built up from axioms defining the abstract concept vector space. An essential goal is to improve the capability to grasp a mathematical theory and realize its usefulness in different applications. Furthermore the course should exercise the competence of writing and talking about mathematics in a correct and understandable way.