Survey of basic numerical methods: number systems and errors of
finite representation; solution of a single nonlinear equation;zeros
of polynomials; interpolation; numerical integration; solution of
linear systems.
No. of Wks. |
Topics |
1 |
Introduction; mathematical software. |
1 |
Number systems (integer, rational, algebraic, real, complex, interval);
computer arithmetic; round-off errors; variable precisioninterval
arithmetic |
1 |
Solvable problems and non-solvable problems |
1 |
Computing derivatives and integrals; computer algebra vs. recursive differential of code lists |
1 |
Mid-term Review and Exam |
2 |
Finding zeros of real functions; polynomial zeros |
2 |
Problems of linear algebra |
1 |
Applications; final review |
Week |
Lab Topic |
2 |
Computer arithmetic in Maple, Range, and a third language of the
student's choice |
4 |
Computing derivatives and integrals: Maple vs. Range,
and applications |
6 |
Finding zeros of nonlinear functions: Maple vs. Range,
and applications |
7 |
Finding real and complex zeros of polynomials, and their multiplicities,
Maple vs. Range, and applications |
9 |
Solving linear systems and finding eigenvalues, Maple vs. Range |