CIE A Level Maths: Pure 1复习笔记5.1.4 Chain Rule
Chain Rule What is the chain rule? If y is a function of u, and u is a function of x, then the chain rule tells us that The chain rule allows us to differentiate more complicated expressions and c...
CIE A Level Maths: Pure 1复习笔记5.1.3 Differentiating Powers of x
Differentiating Powers of x How do I differentiate expressions involving powers of x? Powers of x are differentiated according to the following formulae: Differentiating terms with positive integer...
CIE A Level Maths: Pure 1复习笔记5.1.2 Definition of Derivatives
Definition of Derivatives What is the derivative of a function? Differentiation is an operation that calculates the rate of change of a function with respect to a variable This means how much the ...
CIE A Level Maths: Pure 1复习笔记5.1.1 Definition of Gradient
Definition of Gradient What is the gradient of a curve? At a given point the gradient of a curve is defined as the gradient of the tangent to the curve at that point A tangent to a curve is a line ...
CIE A Level Maths: Pure 1复习笔记4.4.4 Modelling with Sequences & Series
Modelling with Sequences & Series What do I need to know about modelling with progressions? Many real-life situations can be modelled using progressions If a quantity is changing repeatedly by ...
CIE A Level Maths: Pure 1复习笔记4.4.3 Recurrence Relations
Recurrence Relations What do I need to know about recurrence relations? A recurrence relation describes each term in a progression as a function of the previous term – ie un+1 = f(un) Along with th...
CIE A Level Maths: Pure 1复习笔记4.4.2 Sigma Notation
Sigma Notation What is sigma notation? The symbol Σ is the capital Greek letter sigma – that's why it's called 'sigma notation'! 'Σ' stands for 'sum' – the expression to the right of the Σ tells yo...
CIE A Level Maths: Pure 1复习笔记4.4.1 Language of Sequences & Series
Language of Sequences & Series What is a progression/sequence? A progression (or sequence) is an ordered set of numbers with a rule for finding all the numbers in the progression The numbers in...
CIE A Level Maths: Pure 1复习笔记4.3.2 Geometric Series
Geometric Series How do I find the sum of a geometric progression? The sum of the terms of a geometric progression is sometimes called a geometric series The following formulae will let you find th...
CIE A Level Maths: Pure 1复习笔记4.3.1 Geometric Sequences
Geometric Sequences What do I need to know about geometric progressions? In a geometric progression (also called geometric sequence) there is a common ratio between consecutive terms in the sequenc...
CIE A Level Maths: Pure 1复习笔记4.2.2 Arithmetic Series
Arithmetic Series How do I find the sum of an arithmetic progression? The sum of the terms of an arithmetic progression is sometimes called an arithmetic series The following formulae will let you ...
CIE A Level Maths: Pure 1复习笔记4.2.1 Arithmetic Sequences
Arithmetic Sequences What do I need to know about arithmetic progressions? In an arithmetic progression (also called arithmetic sequence), the difference between consecutive terms in the sequence i...
