Mathematical Programs In BBC Basic

de Alan Whittle

A set of fully documented programs for GCE A-Level Mathematics, leading up to first-year degree work. For the BBC Microcomputer (Model B) and the Acorn Electron. 1. Paraplot - parametric curve plotting 2. Quadratic - solving quadratic equations 3. Boole - Venn diagrams and membership tables 4. Triangles - solving triangles using the sine and cosine rules 5. Simul - solving three simultaneous equations with display 6. MaxandMin - maxima and minima and the first two derivatives 7. Rectra - numerical integration by rectangular or trapezoidal approximation 8. Simpson - numerical integration using Simpson's rule 9. Polydiv - demonstration of polynomial division 10. Polynomial - general manipulation of polynomials 11. Sumseries - the summation of series 12. Pascal - displaying and analysing Pascal's triangle 13. Binomial - expanding and evaluating binomial expressions 14. Matmul - matrix multiplication with display 15. Matrices - general matrix operations 16. Lintrans - visualising linear transformations in three dimensions 17. Histogram - plotting a historgram from data 18. Dice - investigating score frequencies 19. Chance - exercises in probability 20. Correl - correlation and regression 21. PermandComb - calculations with permutations and combinations 22. Binsearch - the binary search method for solving equations 23. Iterate - solving equations by iteration 24. Newton - Newton's method for finding the zeroes of a function 25. Recur - generating sequences by forward recurrence 26. Interpol - constructing the interpolating polynomial 27. Diffequat - solving first-order differential equations 28. Complex - manipulating complex numbers 29. Vectors - manipulation of three-dimensional vectors 30. Laminae - finding centroids and moments of inertia of flat bodies 31. Group - checking the group axioms 32. Modulo - an exploration of modulo arithmetic