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 xn + 1?= f(xn) mean? When an equation cannot be solved using the usual?analytical methods, we can still find?approximate solutions?to a certain degree of accuracy Itera...
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...
Parametric Integration How does integration work with parametric equations? Integration is used to find the area under a curve where the curve has been defined by parametric equations x = f(t) y = ...
Parametric Differentiation How do I find dy/dx from parametric equations? Ensure you are familiar with Parametric Equations – Basics first This method uses the chain rule and the reciprocal propert...
Parametric Equations - Sketching Graphs How do I sketch a graph from parametric equations? Plotting?a graph is covered in Parametric Equations - Basics Still find the key features of a graph … … th...
被稱為商科經濟學的“奧運會”，這就是FBLA未來商業領袖挑戰，美國高中影響力巨大的商科賽事，想要攻堅名校的同學不能不知道！fbla商賽培訓選擇哪一家機構？準備時間越發緊張，該怎么準備呢？首先我們先來簡單了解...
作為國際學校的熱門之選，ULC劍橋國際高中多年來一直立足于國際視野，憑借著自身優秀的辦學實力，每年為全球各TOP院校輸送了不少優秀學子，每年ULC學生的表現更是十分令人驚艷，紛紛在國際學術活動中脫穎而出，獲...
