Teaching and Supervisions


This document last updated: 20 March 2013.

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- with corrections here
  • CamTools (has Examples Sheets)
  • Mathematics in the Natural Sciences Tripos (from the Mathematics Faculty)
  • Tutorial on Vector Areas

  • Economics Part I Paper 3

    General Documents from the Economics Faculty

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

  • Economics Faculty: Past Exam Papers
  • Past Exam Paper for Paper 3, 1999 (now removed from Economics Faculty website)
  • 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- 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

  • Website to accompany 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)
  • Björn Wallace's Part I Paper 3 Mathematics for Economists page
  • Oliver Walker's Part I Paper 3 Difference and Differential Equations page
  • Sorawoot Srisuma's Part I Paper 3 Introduction to Statistical Inference page
  • Links to Past Lecturers' Webpages

    (These may go out of date...)
  • Sule Alan's Part I Paper 3 page (2010-11)
  • Tony Lawson's Part I Paper 3 Mathematics for Economists page (2010-11)
  • Tony Lawson's Part I Paper 3 Introduction to Statistical Inference page (2010-11)
  • William Peterson's Part I Paper 3 Introduction to Mathematics for Economists page (2010-11)
  • Guilherme Carmona's Part I Quantitative Methods in Economics page (2011-12)

  • Economics Part IIA Paper 6

    General Documents from the Economics Faculty

  • Economics Faculty: Course Outline and Book List
  • Economics Faculty: Supervision Programme
  • Past Exam Questions and Answers/Solutions

  • Economics Faculty: Past Exam Papers
  • Past Exam Papers for Paper 6: 1999 2000 2001 2002 2003 (now removed from Economics Faculty website)
  • Comments on Past Exam Questions
  • Bottom-line Answers to Past Exam Questions 1999-2004, 2005-2010, 2011- with corrections here
  • Tutorials

  • 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
  • Links to Current Lecturers' Webpages

  • Website to accompany 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)
  • Chryssi Giannitsarou's Teaching page
  • Aytek Erdil's Part IIA Paper 6 Calculus page
  • Charles Roddie's Part IIA Paper 6 Calculus page
  • Melvyn Weeks' Part IIA Paper 6 Statistics page
  • Andrew Harvey's Part IIA Paper 6 Statistics page
  • Links to Past Lecturers' Webpages

    (These may go out of date...)
  • Jayant Ganguli's Part IIA Paper 6 Linear Algebra page (2010-11)
  • Sule Alan's Part IIA Paper 6 page (2010-11)
  • David Newbery's Part IIA Paper 6 Calculus page (2009-10)
  • Sonje Reiche's Part IIA Paper 6 Linear Algebra page (2007-8)
  • Alessio Sancetta's Teaching page (2007-8)
  • Bottom-line Answers to Alessio Sancetta's Exercises 19-27 (2007-8)

  • 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)

    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)