Teaching and Supervisions


This document last updated: 20 May 2022.

These pages provide links to teaching materials for the subjects I supervise or have supervised in the past:

IA Maths for Natural Sciences/Computer Science
Economics Part I Paper 3
Economics Part IIA Paper 6
Management Studies Tripos (MST) Paper M2 Quantitative Methods (MS2)
Operations Management (Management Studies Tripos (MST) Paper M2 (MS5) / Engineering Tripos Part IIA 3E10)


IA Maths for Natural Sciences/Computer Science

  • Supervision Questions
  • Moodle (has examples sheets, lecture notes)
  • Formulae from School Which You Need to Memorise!
  • Past Exam Papers
  • Comments on Past Exam Questions
  • Bottom-line Answers to Past Exam Questions: 2000-2004 , 2005-2009 , 2010-14 , 2015-2019 , 2020- with corrections here (let me know if you think you find any errors; for years 2013 onwards the checking process I have in place means errors should be limited to typos, and most of the questions from years before that have been checked by earlier cohorts, but some errors may remain).
  • Mathematics for Natural Sciences Tripos (from the Mathematics Faculty)
  • Tutorial on Multiple Integrals
  • Tutorial on Vector Areas

  • Economics Part I Paper 3

    General Documents from the Economics Faculty

  • Everything is now on Moodle
  • Past Exam Questions and Answers/Solutions

  • Recent past exam papers now on Moodle, but since the older papers seem to come and go from that source, I'll provide them all here from 2003 onwards:
    2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021
  • Comments on Past Exam Questions
  • Bottom-line Answers to Past Exam Questions 1999-2005 , 2006-2010 , 2011-2015 , 2016-2020 , 2021- with corrections here.
  • Past Exam Questions and Answers/Solutions for the old EQEM

    Historical note: prior to 2003, Paper 3 consisted only of statistics. The mathematics elements of the current Paper 3 course were covered in something called the EQEM (Elementary Qualifying Examination in Mathematics). The course content of the EQEM was similar to the mathematics in the current Paper 3, but there are now sufficient past questions in mathematics on Paper 3 that you won't need to look at it.

  • Past Exam Papers for the EQEM
  • Bottom-line Answers to Past Exam Questions for the EQEM with corrections here
  • Tutorials

  • Tutorial on Hessian Definiteness and Stationary Points
  • Tutorial on the Expectation and Variance Operators (Explains the E() and var() operators and how to use them)
  • Tutorial on Statistical Distributions (An attempt to summarise which distribution to use when, and why)
  • Tutorials on Taylor Series: f(x) around x=x0 or f(a+x) around x=a (Identical conceptually - pick whichever you prefer)
  • Tutorial on Simple First Order Linear Difference Equations
  • Tutorial on Simple First Order Differential Equations

  • Economics Part IIA Paper 6

    Unfortunately I am not supervising this paper any more, and most of the information below relates to the course prior to the major revisions in 2015-16. Therefore the style and content of the questions may well not reflect what is set this year. However, I will leave the old material here as some students have asked for it. Please do not ask me for help with these questions!

    Past Exam Questions and Answers/Solutions

  • Past Exam Papers for Paper 6: 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015
  • Comments on Past Exam Questions
  • Bottom-line Answers to Past Exam Questions 1999-2004, 2005-2010, 2011-2015
  • Tutorials

    (Some of these will no longer be relevant as the course has changed; that's certainly true of the formulae document.)

  • Formulae You Should Know
  • Tutorial on Hessians and Definiteness
  • Proof of the Envelope Theorem for Constrained Optimisation
  • Differentiating Matrix Expressions (Key Results)
  • Helpsheet on Input-Output models

  • Management Studies Tripos (MST) Paper M2 Quantitative Methods (MS2)

    This material is some years out of date now.

  • Bottom-line Answers to Past MS2 Exam Questions 2003-2008
  • Past exam papers for MS2 are in Paper M2 - see MS5 below

  • Operations Management (Management Studies Tripos (MST) Paper M2 (MS5) / Engineering Tripos Part IIA 3E10)

    This material is some years out of date now and most of it is no longer relevant. I am not responsible for this course this year, so if you have questions about any of the information here, please contact your supervisor or the course/module leader. Please do not email me!

  • MS5 M2009 Lecture slides.pdf
  • Examples Sheet 1
  • Examples Sheet 2
  • Examples Sheet 3
  • Past Exam Questions Suitable for 2008-9 MS5/3E10 Course
  • Past Exam Paper: M2 (MS2/MS5) 2000
  • Past Exam Paper: M2 (MS2/MS5) 2001
  • Past Exam Paper: M2 (MS2/MS5) 2002
  • Past Exam Paper: M2 (MS2/MS5) 2003
  • Past Exam Paper: M2 (MS2/MS5) 2004
  • Past Exam Paper: M2 (MS2/MS5) 2005
  • Past Exam Paper: M2 (MS2/MS5) 2006
  • Past Exam Paper: M2 (MS2/MS5) 2007 and crib
  • Past Exam Paper: M2 (MS2/MS5) 2008 (no crib available, unfortunately)
  • Bottom-line Answers to Past MS5 Exam Questions
  • Past Exam Paper: MET P2 2004
  • Past Exam Paper: MET P2 2005
  • Past Exam Paper: MET P2 2006
  • Past Exam Paper: MET P2 2007

  • Ian Rudy (graphic containing email address for iar1)