Math Archives Homepage
Transitional Mathematics Project
The Metric Project
P. Kent, P. Ramsden, J.Wood
Mathematics Department
Imperial College
London, SW7 2BZ

This is a package of modules to help people revise and learn some of the mathematics they need to enter (British) university courses in Science and Engineering. Each module originally consisted of a text part - the Study Guide - and a companion Mathematica Notebook of computer-based activities. The Study Guide has been replaced by a book: Experiments in Undergraduate Mathematics: A Mathematica-Based Approach. The materials need Mathematica: they were written using version 2.2, and should work in version 2.1, but earlier versions may be a problem.

At the original writing of this abstract (July 5, 1994) there were twelve notebooks:

  • Start Here - an introductory Notebook;
  • Complex numbers 1 - introduces complex numbers and how they arise in finding the roots of polynomial.
  • Complex numbers 2 - complex arithmetic, complex conjugates, Argand diagram, modulus and argument, polar form.
  • Complex numbers 3 - De Moivre's Theorem, extracting roots, curves and areas in the complex plane, circles, disks, rings, perpendicular bisectors, complex exponential function.
  • Differentiation 1 - tangent lines, limits, derivatives of power functions, sine, cosine exponential and log functions.
  • Differentiation 2 - Derivatives of sums, products, quotients, and compositions of functions; maxima and minima; implicitly defined functions.
  • Integration 1 - Indefinite integration; important functions; simple rules.
  • Integration 2 - Definite integration; approximate methods.
  • Integration 3 - Change of variable; integration by parts; areas and volumes.
  • Matrices 1 - Transformations in the plane, composition of linear maps, matrix multiplication.
  • Sequences - arithmetic, geometric, recurrence, and chaotic sequences, arithmetic and geometric series.
  • Series - binomial series, factorials, and MacLaurin series.
  • Trigonometry 1 - radians and degrees, trigonometric functions, amplitude, frequency and period, trig identities.
  • Trigonometry 2 - trig formulae, double angle, half angle, inverse trig functions, solving trig equations.
  • Vectors 1 - directed line segments, vectors, scalar multiplication, addition, components, basis, and magnitude.
  • Vectors 2 - Scalar product; equation of a line.
These notebooks have been compressed into ten notebooks.

(modified from the documentation)
The name of the Transitional Mathematics Project was changed to the Metric Project. The Mathematics Archives is a mirror of the original site at Imperial College, London. Visit Metric Project Homepage at Imperial College, London.