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 computerbased activities. The Study Guide has been
replaced by a book: Experiments
in Undergraduate Mathematics: A MathematicaBased 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)
