CIE A Level Maths: Pure 3复习笔记2.1.3 "e"
"e" Exponential Function What is e, the exponential function? The exponential function is y = ex e is an irrational number e ≈ 2.718 As with other exponential graphs y = ex passes through (0, 1) ha...
CIE A Level Maths: Pure 3复习笔记2.1.2 Logarithmic Functions
Logarithmic Functions Logarithmic functions a = bx and log b a = x are equivalent statements a > 0 b is called the base Every time you write a logarithm statement say to yourself what it means l...
CIE A Level Maths: Pure 3复习笔记2.1.1 Exponential Functions
Exponential Functions Exponential functions Exponential functions of the form y = ax with a > 0 are considered at A level Exponential graphs All graphs of the form y = ax will pass through (0, 1...
CIE A Level Maths: Pure 3复习笔记1.5.4 Approximating values
Approximating Values What is the general binomial expansion? The general binomial expansion, as given in the formula booklet, is If n ∈ ℕ then the expansion is finite (see Binomial Expansion) Other...
CIE A Level Maths: Pure 3复习笔记1.5.3 General Binomial Expansion - Multiple
General Binomial Expansion - Multiple What is the general binomial expansion? The general binomial expansion, as given in the formula booklet, is If n ∈ ℕ then the expansion is finite (see Binomial...
CIE A Level Maths: Pure 3复习笔记1.5.2 General Binomial Expansion - Subtleties
General Binomial Expansion - Subtleties What is the general binomial expansion? The binomial expansion applies for positive integers, n ∈ ℕ The general binomial expansion applies to other types of ...
CIE A Level Maths: Pure 3复习笔记1.5.1 General Binomial Expansion
General Binomial Expansion What is the general binomial expansion? The binomial expansion applies for positive integers, n ∈ ℕ The general binomial expansion applies to other types of powers too Th...
CIE A Level Maths: Pure 3复习笔记1.4.1 Further Modelling with Functions
Further Modelling with Functions How do I solve modelling problems? There will be no one-size-fits-all step-by-step guide to solving modelling questions A combination of skills and problem-solving ...
CIE A Level Maths: Pure 3复习笔记1.3.3 Quadratic Denominators
Quadratic Denominators What is meant by partial fractions with quadratic denominators? How do I find partial fractions involving quadratic denominators? STEP 1 Factorise the denominator a...
CIE A Level Maths: Pure 3复习笔记1.3.2 Squared Linear Denominators
Squared Linear Denominators Partial fractions In partial fractions the common denominator is split into parts (factors) This is the reverse process to adding (or subtracting) fractions In harder qu...
CIE A Level Maths: Pure 3复习笔记1.3.1 Linear Denominators
Linear Denominators What are partial fractions? This is the reverse process to adding (or subtracting) fractions When adding fractions a common denominator is required In partial fractions the comm...
CIE A Level Maths: Pure 3复习笔记1.2.5 Top Heavy Rational Expressions
Improper Algebraic Fractions What are top-heavy (improper) rational expressions (or algrbraic fractions)? The degree of the numerator is greater than or equal to the degree of the denominator How d...
