CIE A Level Maths: Pure 3复习笔记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复习笔记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复习笔记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复习笔记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复习笔记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复习笔记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复习笔记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复习笔记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复习笔记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...
美国计算机奥赛USACO比赛介绍-比赛时间-难度等级-竞赛辅导课程
对于准备出国留学，打算申请理工科，尤其是计算机/编程方向的孩子来说，USACO不仅培养学生的算法及应用和编程思维，成绩含金量也不言而喻，获得黄金级、白金级的参赛者将大大增加被藤校录取的概率！ USACO不仅在...
CIE A Level Maths: Pure 3复习笔记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复习笔记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...
