Knowledge organiser
Textbook chapter
PMT solutions
Y2 Pure 10.1
Locating roots
Intro: the need for numerical methods
Intro: the change of sign method
I1:02-03 (examples 1 & 2)
Failure of the change of sign method
+I1-05 (extension)
Y2 Pure 10.2
Iteration
Intro: x=g(x) method
+I2-:03-04 (examples 1 & 2)
Cobweb and staircase diagrams
Failure of the x=g(x) method
Y2 Pure 10.3
Newton-Raphson method
Intro: Newton-Raphson method
+I2:07-08 (examples 1 & 2)
Failure of the Newton-Raphson method
Newton-Raphson problem
Y2 Pure 10.4
Applications to modelling
Contextual problem 2