CIE A Level Maths: Pure 3復習筆記7.1.1 Basic Vectors
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...
CIE A Level Maths: Pure 3復習筆記6.1.3 x = g(x) Iteration
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 Iter...
CIE A Level Maths: Pure 3復習筆記6.1.2 Change of Sign Failure
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...
CIE A Level Maths: Pure 3復習筆記6.1.1 Change of Sign
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...
CIE A Level Maths: Pure 3復習筆記5.2.5 Solving & Interpreting Differential Equations
Solving & Interpreting Differential Equations How do I solve a differential equation? Solving differential equations uses integration! The precise integration method will depend on the type of ...
CIE A Level Maths: Pure 3復習筆記5.2.4 Modelling with Differential Equations
Modelling with Differential Equations What can be modelled with differential equations? ? There are many situations that involve “change” Temperature Radioactivity Medication Sales How do I set up ...
CIE A Level Maths: Pure 3復習筆記5.2.3 Separation of Variables
Separation of Variables What does separation of variables mean? Many differential equations used in modelling either … … have two variables involved (ie?x?and?y), or, ... involve a function of the ...
CIE A Level Maths: Pure 3復習筆記5.2.2 Particular Solutions
Particular Solutions What is a particular solution? Ensure you are familiar with?General?Solutions?first With extra information, the constant of integration,?c, can be found This means the?particul...
CIE A Level Maths: Pure 3復習筆記5.2.1 General Solutions
General Solutions What is a differential equation? Any equation, involving a?derivative?term, is a?differential?equation Equations involving only first derivative terms are called?first?order?diffe...
美國計算機奧賽USACO比賽介紹-比賽時間-難度等級-競賽輔導課程
對于準備出國留學，打算申請理工科，尤其是計算機/編程方向的孩子來說，USACO不僅培養(yǎng)學生的算法及應用和編程思維，成績含金量也不言而喻，獲得黃金級、白金級的參賽者將大大增加被藤校錄取的概率！ USACO不僅在...
CIE A Level Maths: Pure 3復習筆記5.1.8 Integration Decision Making
Decision Making What is meant by integration and decision making? The hardest part of integration is deciding which technique to use There are lots of them! How do I know which integration method t...
CIE A Level Maths: Pure 3復習筆記5.1.7 Integration using Partial Fractions
Integration using Partial Fractions What are Partial Fractions? This is the reverse process to adding (or subtracting) fractions The common polynomial denominator is split into factors Make sure yo...
