Module Identifier PH24010  
Academic Year 2000/2001  
Co-ordinator Dr Geraint Vaughan  
Semester Semester 1  
Other staff Dr James Whiteway, Dr Geraint Thomas  
Pre-Requisite Core Physics Modules at Level 1  
Co-Requisite PH25010  
Course delivery Lecture   8 lectures (first half of semester)  
  Seminars / Tutorials   3 workshops  
  Laboratory   36 Hours 12 laboratory sessions (3 hours each)  
Assessment Exam   End of Semester Examinations   20%  
  Course work   Young's Modulus experiment   30%  
  Course work   Random Measurement Experiment   15%  
  Course work   Photometry Experiment   15%  
  Course work   MathCad exercises   10%  
  Course work   Theory exercises   10%  

Module description
This module is a laboratory-based course where the handling of data in selected experiments is treated in parallel with a course on the theory of measurement, the nature of experimental errors, random and systematic. The course provides an introduction to the basic statistics encountered in Physics, including the Binomial, Poisson and Normal distributions, and simple least-squares regression. The estimate of standard error, the combination of errors and the optimum design of experiments to reduce the final error in the most efficient way are covered, together with a demonstration of selection effects in compiling a data-base. An introduction to the MathCad programming package will be given.

Learning outcomes
After taking this module student should be able to:

Additional learning activities
Use of STOMP CAL package.
Simple modelling using MathCad.

Outline syllabus
Introduction to MathCad 8

Theory of measurement (STOMP Measurement and Uncertainty package)

Units 0.1,0.2,0.3 Introduction to STOMP
Unit 1.2 Random and systematic errors
Unit 2.2 Accuracy and precision
Unit 2.3a Mean and standard deviation
Units 2.4 and 2.4a Gaussian, Poisson and Binomial distribtions
Units 2.5a, 3.1 and 3.1a Combining uncertainties
Units 3.2, 4.1 and 4.2 - The Least Squares Principle, graphing data and fitting a straight line to data.

1. Random Measurements
Median, mean, average deviation and standard deviation.
Illustration of a simple Gaussian distribution.
Analysis of Dartboard results.
Illustration of inter-dependence of data and rejection of extreme data.
Photometry experiment. Exercise in taking and transforming measurements.
3. Young's Modulus experiment.
Determination of Young's Modulus, with special care taken to estimate the random uncertainty
in the final result.
Identification of the parameter contributing most to the final error.

Reading Lists
** Recommended Text
Roger Barlow. Statistics. Wiley ISBN 0-471-92295-1
** Reference Text
D. Donnelly. MathCad for Introductory Physics. Addison-Wesley ISBN 0-201-54736-8
P.M. Morse. Vibration and Sound.