I have been running Mathematics IV tutorials at the Department of Physics, University of York, for the academic years 2004/05 and 2005/06. The subject has been introduced to students in a series of lectures by Professor Peter Main. Mathematics IV deals with Vector Calculus and Fourier Series and Transform.

Here I have collected a few problems to help students' preparation for the tutorials.

Solved problems for Mathematics IV tutorials  (Postscript)(PDF)