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...
