Teaching and Supervisions


This document last updated: 8 November 2016.

These pages provide links to teaching materials for the subjects I supervise:

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
  • Formulae from School Which You Need to Memorise!
  • Past Exam Papers
  • Comments on Past Exam Questions
  • Bottom-line Answers to Past Exam Questions: 1993-1999 , 2000-2004 , 2005-2009 , 2010-14 , 2015- 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)
  • Moodle (has examples sheets, lecture notes)
  • 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

  • Economics Faculty: Paper Outline
  • Economics Faculty: Supervision Programme
  • Economics Faculty: Part I Timetable
  • Past Exam Questions and Answers/Solutions

  • Economics Faculty: Past Exam Papers
  • Past Paper 3 Exam Papers now removed from the Economics Faculty website: 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012
  • Past Exam Papers for the old EQEM (now removed from Economics Faculty website)
  • Comments on Past Exam Questions
  • Bottom-line Answers to Past Exam Questions 1999-2005 , 2006-2010 , 2011-2015 with corrections here
  • Bottom-line Answers to the 2012 Mock Exam for Statistics
  • Bottom-line Answers to Past Exam Questions for the old EQEM with corrections here

    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, so some of the questions can still be used for practice. However, there are now sufficient past questions in mathematics on Paper 3 that you probably won't need them.

  • Tutorials

  • 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
  • Links to Current Lecturers' Webpages

    (Some of these links will not be live until later in the year)

  • Student's Manual for Sydsaeter and Hammond, Essential Mathematics for Economic Analysis, third edition (has solutions to problems and further exercises)
  • Website to accompany Pemberton and Rau, Mathematics for Economists (has solutions to problems)
  • Tony Lawson's Mathematics for Economists page
  • Donald Robertson's Introduction to Probability and Statistics page
  • Statistics Classes page
  • Links to Past Lecturers' Webpages

    (These may go out of date...)
  • Sanjay Jain's Part I Paper 3 Introduction to Calculus and Optimization page
  • Björn Wallace's Part I Paper 3 Linear Algebra page
  • Björn Wallace's Part I Paper 3 Extended Calculus, Envelope Theorem, Comparative Statics, Intergration page
  • Sanjay Jain's Part I Paper 3 Difference and Differential Equations page

  • Economics Part IIA Paper 6

    Unfortunately I am not supervising this paper any more, and as most of the information that was here related to the course prior to the major revisions in 2015-16, I have opted to remove most of it. If you would like any of the old documents, just contact me (link at the foot of this page).

    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)

  • Bottom-line Answers to Past MS2 Exam Questions
  • 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)