Course contents: Continuous functions of several variables, optimization. Differential functions, gradients and directional derivatives, extremal values. Multiple integrals, change of variables generalised integrals, area integrals.

This course replaces the first part of the course MATB15 Analysis in Several Variables, 15 credits, from the spring term of 2016. This course is compulsory for students enrolled in the Bachelor´s Programme in Mathematics, Physics, Theoretical Physics and Astronomy and it is given parallel to the course MATB22 Linear Algebra 2, 7.5 credits.