Ancillary Mathematics I
    Modules 110PMA003/107


    Text Books: I will not follow any textbooks. However, if you like to have a really nice mathematical textbook, try to get G.H. Hardy: A Course of Pure Mathematics (Cambridge University Press). If it is no more available, try Advanced Book Exchange. But if you don't like Mathematics, are scared of it, or have forgotten all, probably Dexter Booth: Foundation Mathematics (Addison-Wesley) would be the right book for you.


    In the following you may download the pdf-files of the lecture notes of the first chapter:

    • 1. Number systems and their features
      • 1.1 Natural numbers: addition
      • 1.2 Integers: inverse elements
      • 1.3 Rational numbers: a so-called field
      • 1.4 Real numbers: filling the gaps
      • 1.5 Complex numbers: the square root of -1
      • 1.6 Beyond numbers: the ring of matrices


    In the following you may download the pdf-files of the homeworks (as well as the solutions of the first two weeks):

    • Homework 1 (introducing algebra) [Booth: M6 U1-4]
      • Solutions 1
    • Homework 2 (complex numbers) [Booth: M9]
      • Solutions 2
    • Homework 3 (complex numbers)
    • Homework 4 (complex numbers)
    • Homework 5 (progressions and series) [Booth: M16 U1 and M17 U1]
    • Homework 6 (linear and quadratic equations) [Booth: M4 U1 and M8 U3]
    • Homework 7 (functions and their graphs) [Booth: M11 and M12 U1-2]
    • Homework 8 (the exponential function and inverse functions) [Booth: M15 U1 and M14 U1-2]
    • Homework 9 (differential calculus) [Booth: M19 and M20]
    • Homework 10 (differential calculus) [Booth: M20]
    • Homework 11 (differential and integral calculus) [Booth: M20, M23 and M24]
    • Some functions and their graphs (this file starts with a blank page!)

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