A-Level Mathematics grade A/B (or equivalent authorised by Director of Studies)
Aims: To show how computer algebra can be used to solve some interesting mathematical problems.
1. To understand the practical possibilities and limitations of symbolic computation;
2. To be able to solve problems using symbolic computation.
Application of number (T/F).
Introduction to Reduce. Data representation questions. Normal and canonical forms. Polynomials, algebraic numbers, elementary numbers. Polynomial algebra: GCD and factorization algorithms, modular methods. Numerical and symbolic methods for solving systems of nonlinear equations. Gröbner bases. Introduction to integration.