A Level Pure Maths 3: Textbook
Concise resources for the A Level CIE Business course
Chapter 7: Further Algebra
7.1 Improper algebraic fractions
7.2 Partial fractions
7.3 Binomial expansion of ((1+x)^n) for values of (n) that are not positive integers
7.4 Binomial expansion of ((a+x)^n) for values of (n) that are not positive integers
7.5 Partial fractions and binomial expansions
End-of-chapter review exercise 7
Chapter 8: Further Calculus
8.1 Derivative of (\tan^{-1}x)
8.2 Integration of (\frac{1}{x^2+a^2})
8.3 Integration of (\frac{kf'(x)}{f(x)})
8.4 Integration by substitution
8.5 The use of partial fractions in integration
8.6 Integration by parts
8.7 Further integration
End-of-chapter review exercise 8
Cross-topic Review Exercise 3
Chapter 9: Vectors
9.1 Displacement or translation vectors
9.2 Position vectors
9.3 The scalar product
9.4 The vector equation of a line
9.5 Intersection of two lines
End-of-chapter review exercise 9
Chapter 10: Differential Equations
10.1 The technique of separating the variables
10.2 Forming a differential equation from a problem
End-of-chapter review exercise 10
Chapter 11: Complex Numbers
11.1 Imaginary numbers
11.2 Complex numbers
11.3 The complex plane
11.4 Solving equations
11.5 Loci
End-of-chapter review exercise 11