Basic Vectors What is a vector? Vectors represent a movement of a certain?magnitude?(size) in a given?direction You should have already come across?vectors?when translating functions of graphs They...
Numerical Methods in Context Numerical Methods Numerical methods?can be used to model a variety of situations, from the motion of planets across the solar system to the depreciation in a cars value...
Trapezium Rule (Numerical Integration) What is the trapezium rule? The?trapezium rule?is a numerical method of integration used to find the?approximate area?under a curve It can be used when?analyt...
Newton-Raphson The Newton-Raphson method The Newton-Raphson method finds?roots?of equations in the form?f(x)?=?0 It can be used to find?approximate solutions?when an equation cannot be solved using...
x = g(x) Iteration What does ?mean?? When an equation cannot be solved using the usual?analytical methods, we can still find?approximate solutions?to a certain degree of accuracy Iteration?is one w...
中国大陆考场不接受社会考生的报名，仅为AP授权学校的学生提供考试。所以社会考生需要到周边考场参加考试，如中国香港、韩国、新加坡等地区考场。 由于AP考位紧张，不少考生担心抢不到考位，在众多考生的呼吁下，...
Change of Sign Failure When can the sign change method fail? There are certain circumstances where a?change of sign?fails to appropriately reflect the number or existence of roots If the interval i...
Change of Sign What does a change of sign mean? A?sign change?between f(a) to f(b) means there must be a?root?between a and b When an equation cannot be solved using the usual?analytical methods, w...
Modelling with Parametric Equations What can be modelled with parametric equations? A common use for parametric equations is motion in two dimensions x = f(t)?– horizontal position, dependent on ti...
