Numerical Methods Bicen Maths

Thus, the number of iterations required grows logarithmically with ( 1/\varepsilon ).

Bicen Maths, a popular A-Level educator, offers extensive content on across two main curriculums: standard Pure Mathematics Year 2 and Further Pure 1 . These methods are essential for solving equations that cannot be solved algebraically by using approximations instead. A-Level Pure Mathematics (Year 2) numerical methods bicen maths

| Iteration | a | b | c = (a+b)/2 | f(c) | New Interval | |-----------|---|---|-------------|------|---------------| | 1 | 1.0 | 2.0 | 1.5 | (1.5^3 - 1.5 - 2 = -0.125) | [1.5, 2.0] | | 2 | 1.5 | 2.0 | 1.75 | (1.75^3 - 1.75 - 2 = 1.609) | [1.5, 1.75] | | 3 | 1.5 | 1.75 | 1.625 | (1.625^3 - 1.625 - 2 = 0.666) | [1.5, 1.625] | | 4 | 1.5 | 1.625 | 1.5625 | (1.5625^3 - 1.5625 - 2 = 0.252) | [1.5, 1.5625] | A-Level Pure Mathematics (Year 2) | Iteration |