This course was among essential mathematics for dynamical systems simulation. It’s a pre-requisite to a Monte-Carlo techniques course. It was an interactive course where the students made short presentations on some topics introduced during the course.
The course started with an explanation of basic concepts in linear algebra such as linear combination, linear independence and linear transformation. Row reduction and Echelon forms were introduced.
Vector spaces and subspaces were presented in a general context with statement of important examples. This led to associate to any vector space a set of basis whose cardinality is the space dimension. In a similar way, the rank of a matrix was defined.
Eigenvalues and eigenvectors were the last topic of the course. Its theoretical treatment was introduced together with its usage in matrix diagonalization. This set of linear algebra concepts was used to introduce audiences to the basic analysis of differential equations used in modeling real physical problems.