Linear Algebra and Calculus I and II
Full course description
Brain science rests on a solid basis in mathematics. In fact, the empirical study of brain mechanisms relies on the observation and interpretation of multidimensional data together with the use of complex mathematical models, which requires tools of Linear Algebra. In this foundational course we will introduce the concepts of vectors, spaces, matrices and their operations, including sums, products, inversion, eigenvalue decomposition and linear systems of equations.
The final assessment for this course is a numerical grade between 0,0 and 10,0.
Each week consists of one or two lectures, together with homework, both pen and paper and computer assignments. Furthermore, a weekly debriefing session will take place to discuss the homework and assignments, under the guidance of a tutor.
The course links broadly through selected applications with concepts (e.g. Hebbian learning, mental rotations, spatial filtering) that are described in parallel and future courses such as Introduction to Cognitive Neuroscience and Learning and Memory.
“Please note: the final assessment for this course is a grade between 1-10."
Course objectives
- understand matrix notation and matrix operations
- solve a linear system of equations by Gaussian Elimination
- understand vector spaces and subspaces – the idea of basis
- understand orthogonality and projections
- understand eigenvalues, singular values and principal components
- help each other in solving various mathematical exercises