Firstly; there will be no MS 2001 lecture on Monday 6 December at 3 p.m. Instead you will have an MS 2003 lecture at this time in WG G 08. The 12 p.m. MS 2003 lecture on Wednesday December 1 in WG G 08 will now be an MS 2001 lecture. Indeed it will be the final MS 2001 lecture as Wednesday 8 December is a test day and the week after is review week. The morning lecture at 9 a.m. on Wednesday 1 December will still go ahead.
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. 10 from http://euclid.ucc.ie/pages/staff/wills/teaching/ms2001/exercise4.pdf
Other Exercise Sheets – Questions on the Second Derivative Test and Asymptotes
Section 4 Q. 4-5 from Problems
Past Exam Papers
Stationary Points are points where the derivative of a differentiable function
,
.
When asked to find the critical points of a function defined on the entire real line (rather than just on a closed interval ), the ‘endpoints’,
are not considered critical points.
Convex is concave up and concave is concave down.
Q. 5 from http://booleweb.ucc.ie/ExamPapers/exams2010/MathsStds/MS2001Sum2010.pdf
Q . 5 from http://booleweb.ucc.ie/ExamPapers/exams2009/MathsStds/MS2001s09.pdf
Q. 5 from http://booleweb.ucc.ie/ExamPapers/exams2009/MathsStds/Autumn/MS2001A09.pdf
Q. 5 from http://booleweb.ucc.ie/ExamPapers/exams2008/Maths_Stds/MS2001Sum08.pdf
Q. 3(b), 5 from http://booleweb.ucc.ie/ExamPapers/Exams2008/MathsStds/MS2001a08.pdf
Q. 5 from http://booleweb.ucc.ie/ExamPapers/exams2007/Maths_Stds/MS2001Sum2007.pdf
Q. 5(b), from http://booleweb.ucc.ie/ExamPapers/exams2006/Maths_Stds/MS2001Sum06.pdf
Q. 4(a), 5(b) from http://booleweb.ucc.ie/ExamPapers/exams2006/Maths_Stds/Autumn/ms2001Aut.pdf
Q. 4(b),5(b), 6(a) from http://booleweb.ucc.ie/ExamPapers/Exams2005/Maths_Stds/MS2001.pdf
Q. 5(b), 6(a) from http://booleweb.ucc.ie/ExamPapers/Exams2005/Maths_Stds/MS2001Aut05.pdf
Q. 5(b) from http://booleweb.ucc.ie/ExamPapers/exams2004/Maths_Stds/ms2001s2004.pdf
Q. 4(a), 5(b) from http://booleweb.ucc.ie/ExamPapers/exams2004/Maths_Stds/MS2001aut.pdf
Q. 4(a), 5(b) from http://booleweb.ucc.ie/ExamPapers/exams2003/Maths_Studies/MS2001.pdf
Q. 5(b) from http://booleweb.ucc.ie/ExamPapers/exams2003/Maths_Studies/ms2001aut.pdf
Q. 5(b) from http://booleweb.ucc.ie/ExamPapers/exams2002/Maths_Stds/ms2001.pdf
Q. 4(a) from http://booleweb.ucc.ie/ExamPapers/exams2001/Maths_studies/MS2001Summer01.pdf
Q. 4(a), 6(a) from http://booleweb.ucc.ie/ExamPapers/exams/Mathematical_Studies/MS2001.pdf
From the Class
1. Prove Theorem 5.2.2 (b)
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