Mathematics: Mathematics for Scientists 2

<p>The course gives basic knowledge in analysis of functions of several variables and linear algebra of relevance for future studies in natural sciences and applied computational science. The course is a compulsory mathematics course at basic level for a Master of Science degree in applied computational science and can also be studied as a free-standing course.</p><p>The course treats:</p> <ul> <li>Functions of several variables: basic topology in R3, continuity,</li> <li>Differential calculus of functions of several variables: partial derivatives,differentiability, the chain rule, gradient and directional derivatives, extreme values, applications of differential calculus,</li> <li>Integral calculus of functions of several variables: multiple integrals, variable substitution, applications,</li> <li>Ordinary differential equations, systems of ordinary differential equations,</li> <li>The vector space Rn, linear maps on Rn and matrix representation of linear maps,</li> <li>Matrices and determinants, matrix rank,</li> <li>Eigenvalues and eigenvectors.</li> </ul>