ANALYTIC MATHEMATICS ( I ) CM 0188 Antonia
نویسنده
چکیده
electronically as pdf Acrobat files. It is not normally necessary for students attending the course to print this file as complete sets of printed slides will be issued. ©2003 Antonia J. Jones. Permission is hereby granted to any web surfer for downloading, printing and use of this material for personal study only. Copyright permission is explicitly withheld for modification, re-circulation or publication by any other means, or commercial exploitation in any manner whatsoever, of this file or the material therein Recommended text: There are multiple copies of this book (First Edition) available on short loan from the library. Nevertheless purchase of the book is very strongly recommended. It covers a great deal more than the mathematics needed for just this module and will be useful at all stages in the degree course. The complete first year course (i.e. this semester plus last semester) will cover the material of Chapters 1, 2, 3, bits of the set theory from Chapter 6, Chapters 7, 8, and maxima/minima and Taylor's theorem from Chapter 9 of the book. The work of last semester represents a review of what (ideally) you should have become familiar with at A-level, although some new terminology was introduced. Please read the file Numbers.pdf in the Lectures directory on my website. The work of this semester represents the new material that is vital for many subsequent modules of the degree course. In order to help this 2 process along it is essential that you attend the tutorials and use the coursebook to check things you are unsure about and to form the basis of independent work. The material in these notes represents the important new material of the course and where possible you should look ahead and try to become familiar with what is going to happen beforehand. Whilst we have made every effort to help you along, there is a limit to how many examples and how much detail one can give in 20 lectures or so-the notes/slides contain the essential points but are quite condensed. You must be prepared to exploit the tutorials and pursue independent study using the book. Mathematica Almost everything we learn in this course can be illustrated using Mathematica, a programming system for doing mathematics. In the PC LAB every machine has Mathematica installed and there are example programs illustrating various aspects of this course. Just as a calculator does arithmetic for you so …
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