Full course descriptionFunctions of more than one variable, series, multiple integrals, integral calculus of functions of one variable.
Course objectivesLearn the concepts and techniques in the field of integral calculus that are prerequisite for 'probability theory', '(applied) statistics', 'mathematical economics' and 'operations research'.
Can check the topological properties of a subset of the plane.
Know how to prove that a function of two variables is continuous.
Be able to apply the Implicit Function of Theorem.
Know how to prove that a function of two variables has a directional derivative or is (totally) differentiable.
Learn to solve constrained and unconstrained optimisation problems.
Prerequisites- Differential calculus for functions of one variable (as, for instance, in the course Analysis 1).
- Elementary linear algebra (as, for instance, in the course Linear Algebra).
An advanced level of English.