Bill Lionheart School of Mathematics University of ManchesterOfficial course information on School of Maths web page includes recommended books etc. The coursework will be due in week 10 and is a "take home" assignment rather than a class test.
Old Exams: 2015 exam,2015 solutions , 2016 exam, 2016 solutions The previous one for January 2014 (and maybe others) is on the university web site without solutions.
Sean Holman's chapter on separation of variables
Some Matlab m-files