I am emailing a link of this to everyone on the class list every Wednesday morning. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jippo@campus.ie and I will add you to the mailing list.

We covered from Proposition 1.4.3 to Proposition 2.1.5 inclusive. Here are the proofs of the product and quotient  rules for the calculus of limits.


You need to do exercises – all of the following you should be able to attempt. Do as many as you can/ want in the following order of most beneficial:

Wills’ Exercise Sheets

Q.8, 9 from http://euclid.ucc.ie/pages/staff/wills/teaching/ms2001/exercise1.pdf

More exercise sheets

Q. 4 from Problems

Past Exam Papers

Q. 1(a), 2 from http://booleweb.ucc.ie/ExamPapers/exams2010/MathsStds/MS2001Sum2010.pdf

Q . 1(a), 2(a) fromhttp://booleweb.ucc.ie/ExamPapers/exams2009/MathsStds/MS2001s09.pdf

Q. 1(a), 2 fromhttp://booleweb.ucc.ie/ExamPapers/exams2009/MathsStds/Autumn/MS2001A09.pdf

Q. 1(a) fromhttp://booleweb.ucc.ie/ExamPapers/exams2008/Maths_Stds/MS2001Sum08.pdf

Q. 1(a), 2(a)(i), (b) fromhttp://booleweb.ucc.ie/ExamPapers/Exams2008/MathsStds/MS2001a08.pdf

Q. 2 fromhttp://booleweb.ucc.ie/ExamPapers/exams2007/Maths_Stds/MS2001Sum2007.pdf

Q. 1, 2(a) fromhttp://booleweb.ucc.ie/ExamPapers/exams2006/Maths_Stds/MS2001Sum06.pdf

Q. 1, 2(a) fromhttp://booleweb.ucc.ie/ExamPapers/exams2006/Maths_Stds/Autumn/ms2001Aut.pdf

Q. 1, 2(a) fromhttp://booleweb.ucc.ie/ExamPapers/Exams2005/Maths_Stds/MS2001.pdf

Q. 1, 2(a) fromhttp://booleweb.ucc.ie/ExamPapers/Exams2005/Maths_Stds/MS2001Aut05.pdf

Q. 1(a), 2(a), 3(b) fromhttp://booleweb.ucc.ie/ExamPapers/exams2004/Maths_Stds/MS2001aut.pdf

Q. 1(a), 2 fromhttp://booleweb.ucc.ie/ExamPapers/exams2004/Maths_Stds/ms2001s2004.pdf

Q. 1(a), 2(a), 3 fromhttp://booleweb.ucc.ie/ExamPapers/exams2003/Maths_Studies/MS2001.pdf

Q. 1(a), 3 fromhttp://booleweb.ucc.ie/ExamPapers/exams2003/Maths_Studies/ms2001aut.pdf

Q. 1, 2(a) fromhttp://booleweb.ucc.ie/ExamPapers/exams2002/Maths_Stds/ms2001.pdf

Q. 1(a), 2(a), 3 fromhttp://booleweb.ucc.ie/ExamPapers/exams2001/Maths_studies/MS2001Summer01.pdf

Q. 1(a), 2 fromhttp://booleweb.ucc.ie/ExamPapers/exams/Mathematical_Studies/MS2001.pdf

Tutorial Quiz Questions

These are not necessarily of exam standard but are more an exercise to help your understanding. The quiz we never did this week as ye actually did some exercises and asked questions.