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...
