Was tempted to go large on these this morning , in the hope of a refund , to rack up some S 4 s but the refunds can take a while and would kick myself if a decent set dropped in the meantime . <| sep |> Yeah , there ' s a definite lack of algebra that ' s actual algebra , not elementary algebra in Coventry ' s course . The rest of the course definitely looks lacking in real proofs . As a good start for this year , try working through Warwick ' s Analysis I workbooks they ' re all available online , but not linked from anywhere googling Warwick Analysis I workbook is usually the best way to go about it . For more algebraic stuff , ~ maslannumthry . php is a good starting point for number theory the representation theory and local fields sections are much higher level , and might be something to aim at being able to do in three years time , if you go down that route . ~ masgak has a whole bunch of relatively high level analysisy plus geometric group theory stuff on his website that might be a good thing to aim for by the end if you go down an analysisbutnotPDEs route . Andrew ' s how to write an essay guide is always worth looking at . If you ever intend to talk to anybody about maths , read ~ agelosgiveTalkgivetalk . htm . You could , if you really wanted to , read Marcus ' notes , but you wont understand them this is not a reflection on you I don ' t know anybody that claims to understand them , and I ' m not even sure that Marcus does . Daan ' s pages ~ masbal are good on the algebra side , though everything except Linear Algebra is a bit higher level . There are some good complex analysis notes that it might be worth comparing to the equivalent notes from Coventry ' s Real and Complex Analysis course . If you ' re specifically interested in Topology , ~ masbmteaching . html is good also , the Foundations course there is basically what Warwick would like people to know going into the start of their undergrad degree , but people don ' t I ' d go intro to topology first . Algebraic topology is very heavily reliant on group theory , and that manifold course is higher level than Brian ' s . Cohomology is an actual MSc module , so might be worth looking at . Samir has some stuff ~ maseap , and you should absolutely look at the introduction to abstract algebra course apart from being a first year module that should be accessible to everybody , it has possibly the funniest lecture notes ever written .