M203 Mathcad files 

    The following is a collection of Mathcad files that cover my interest in computer algebra and graphics, or more to the point, in using the computer to help with and to picture some of the various topics in M203 'Introduction to Pure Maths'. 
    Here is a good link to a Web course on Real Analysis at Seton Hall University, New Jersey. It makes a useful resource for the definitions and the examples of Real Analysis.
    Differentiable Functions  
    Files (5) covering the definitions and theorems of Unit AB1. 
    These files give some visual aids for various concepts such as the definition of differentiabilty via the limit of the Difference Quotient function. 

    They also cover various results such as the application of the inverse function rule, the mean value theorem and L'Hopital's rule for indeterminate forms.

    Flows  
    A file for Unit AB4. 
    Strange Continuous Functions 
    Files (2) covering the supplementary project at Summer School. 
    In this project the  full power of the definition of a continuous function is used to discuss the continuity of certain historical 'pathalogical' functions. The Mathcad files give some visual help (as much as a 'rational number based' machine can do when dealing with dense sets and irrational numbers.) 
    They give some idea of the the sequences used to discuss points of discontinuity, and a rough picture of the graphs of the functions. 
     
    A function continuous at the irrationals, discontinuous at the rationals.
     
     
    Nowhere Differentiable Functions 
    Files (2) for visual help concerning (once called 'monster') functions that are continuous at all points but differentaible nowhere.