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
Use the Closed Interval Method to do Q. 8 (i), (iii) from
http://euclid.ucc.ie/pages/staff/wills/teaching/ms2001/exercise1.pdf
Q. 14-17 from http://euclid.ucc.ie/pages/staff/wills/teaching/ms2001/exercise3.pdf
Q. 2 from http://euclid.ucc.ie/pages/staff/wills/teaching/ms2001/exercise4.pdf
Other Exercise Sheets
Section 4 Q. 1-3 from Problems
Past Exam Papers
Those questions in bold are to be done using the Closed Interval Method. Those questions in italic request the critical points of a function rather than
. In these questions the ‘endpoints’
are not considered critical points.
Q. 2(a) from http://booleweb.ucc.ie/ExamPapers/exams2010/MathsStds/MS2001Sum2010.pdf
Q . 2, 3(b) from http://booleweb.ucc.ie/ExamPapers/exams2009/MathsStds/MS2001s09.pdf
Q. 3(b) from http://booleweb.ucc.ie/ExamPapers/exams2009/MathsStds/Autumn/MS2001A09.pdf
Q. 2(ii), 4 from http://booleweb.ucc.ie/ExamPapers/exams2007/Maths_Stds/MS2001Sum2007.pdf
Q. 6(a) from http://booleweb.ucc.ie/ExamPapers/exams2006/Maths_Stds/MS2001Sum06.pdf
Q. 4(a), 6(a) from http://booleweb.ucc.ie/ExamPapers/exams2006/Maths_Stds/Autumn/ms2001Aut.pdf
Q. 4(b), 5 from http://booleweb.ucc.ie/ExamPapers/Exams2005/Maths_Stds/MS2001.pdf
Q. 5(b) from http://booleweb.ucc.ie/ExamPapers/Exams2005/Maths_Stds/MS2001Aut05.pdf
Q. 5(a), 6(a) from http://booleweb.ucc.ie/ExamPapers/exams2004/Maths_Stds/ms2001s2004.pdf
Q. 4(a), 6(a) from http://booleweb.ucc.ie/ExamPapers/exams2004/Maths_Stds/MS2001aut.pdf
Q. 3, 4(a), 5(b), 6(b) from http://booleweb.ucc.ie/ExamPapers/exams2003/Maths_Studies/MS2001.pdf
Q. 5(b), 6(a) from http://booleweb.ucc.ie/ExamPapers/exams2003/Maths_Studies/ms2001aut.pdf
Q. 4(c) from http://booleweb.ucc.ie/ExamPapers/exams2001/Maths_studies/MS2001Summer01.pdf
Q. 4(c), 6(a) from http://booleweb.ucc.ie/ExamPapers/exams/Mathematical_Studies/MS2001.pdf
From the Class
1. Prove Proposition 5.1.1 in the case that of is an absolute minimum.
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