Applied Mathematics

The course covers the following: - Some basic properties and applications of vectors, matrices, eigenvalues, and eigenvectors. - Linear ordinary differential equations of higher order, systems of linear ordinary differential equations. - Functions of several variables, partial derivatives, directional derivative, gradient, and some simple partial differential equations. - Descriptive statistics, measure of location, and measures of dispersion. - Basic probability theory. - Some discrete and some continuous distributions, e.g., the normal distribution. - Expectation value, variance, standard deviation. - Point estimates and confidence intervals.