I will put up updates of the lecture notes as the course goes along. Last update: 2 December 2008.

There is no required textbook for this course

The department recommends the following book for the course (and for Mathematics II):
  • Mathematical Techniques. An introduction for the Engineering, Physical and Mathematical Sciences (3rd edition), D. W. Jordan and P. Smith, Oxford Univ. Press 2002.
    The library has several copies of this book. I will follow the lecture notes and not the book. There are lecture notes from two years ago (when the course was taught by Gunnar Traustason) which may also come in handy (see under 'old stuff').

    Below is a rough correspondence between chapters in the book and chapters in the lecture notes.
    Topic chapters in lecture notes of this year chapters in lecture notes Traustason chapters in book
    Functions and equations 1 1-3 1
    Differentiation 2 4-6 2-5
    Integration 3 7 14-17
    Ordinary differential equations 4 8 18-19
    Functions of several variables 5 9 28-31