Natalia Kopteva - MA4002 - Engineering Mathematics 2
MA4002 Brightspace site
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In addition to this website (which is the main module site), some files (not publicly available), will be published at Brightspace.
In particular, ALL Tutorial Sheets will be available at the
Brightspace site only (see the Resources section).
Prime Textbook
- Calculus: A Complete Course by R. A. Adams and C. Essex.
Publisher: Pearson, 10th (or 9th/8th/7th, or any other) edition.
Talking to me / Office Hours
- I am available in my office B2037 to see students each week during a 2-hour period
specified at the Brightspace site each semester.
- Alternatively, if you wish to talk to me, you may email me (at Natalia.Kopteva@ul.ie)
to make an appointment (you may indicate a few convenient time slots).
A simple question may be asked after a lecture or via email.
Course Materials of Spring 2023
Mid-Term Exam
- In Spring 2025, the mid-term exam is worth 25% of the overall grade
(note that it varies depending on the year).
- The 45-minute mid-term exam will be held
in class; date, time, and further arrangements t.b. confirmed
via Brightspace.
- The material examined is lectures 1-12.
- At the mid-term exam you will be supplied with paper and
pages 9 and 41-42
of the Log Tables (old edition).
- CALCULATORS are typically NOT permitted at the Mid-term Exam (please check the announcements via Brightspace for the current academic year).
- Mid-term exam papers :
2024 paper (solutions),
2023 paper (solutions),
2022 paper (solutions),
2020 paper (solutions),
2019 paper (solutions),
2018 paper (solutions),
2017 paper (solutions),
2016 paper (solutions),
2015 paper (solutions),
2013 (solutions),
2012 (solutions: part I and part II),
2011 ,
2010 ,
2009 (solutions),
2008 ,
2007 (solutions),
2006 ,
2005 ,
2004 ;
Mid-term exams with solutions :
2003 ,
2002 ,
2001 (pdf-files).
Final Exam
- The final exam is worth 70% of the overall grade.
- Final exam papers :
2024 ,
2023 ,
2022 ,
2019 ,
2018 ,
2017 ,
2016 ,
2015 ,
2013 ,
2012 ,
2011 ,
2010 ,
2009 ,
2008 ,
2007 ,
2006 ,
2005 ,
2004 ,
2003 ,
2002 ,
2001 ,
2000 ,
1999 ,
1998 ,
1997 ,
1996 (pdf-files).
- Final exam solutions :
2024 ,
2023 ,
2022 ,
2019 ,
2018 ,
2017 ,
2016 ,
2015 ,
2013 ,
2012 ,
2011 ,
2010 ,
2009 ,
2008 ,
2007,
2006 ,
2005 ,
2004 ,
2003 ,
2001 ,
2000 ,
1999 ,
1998 ,
1997 ,
1996 (pdf-files).
- Info on Question 1(h) (pdf-file; Spring 2023).
Other relevant texts
- Anton, H. (1988) Calculus with Analytic Geometry, New York: Wiley.
- Anton, H. (1994) Elementary Linear Algebra, New York: Wiley.
- Atkinson, K. (1993) Elementary Numerical Analysis, New York: Wiley.
- Fraleigh, J.B. (1985) Calculus of a single variable, Reading: Addison Wesley.
- Jeffrey, A. (1992) Essentials of Engineering Mathematics, London: Chapman Hall.
- Stroud, K.A. (1995) Engineering Mathematics, Basingstoke : Palgrave.
Further Links