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ISBN 13: 9780435519094
Author: Keith Pledger
Edexcel AS and A Level Modular Mathematics Core Mathematics C3 eBook edition
Chapter 1: Algebraic fractions
1.1: Simplify algebraic fractions by cancelling common factors
1.2: Multiplying and dividing algebraic fractions
1.3: Adding and subtracting algebraic fractions
1.4: Dividing algebraic fractions and the remainder theorem
Summary of key points
Chapter 2: Functions
2.1: Mapping diagrams and graphs of operations
2.2: Functions and function notation
2.3: Range, mapping diagrams, graphs and definitions of functions
2.4: Using composite functions
2.5: Finding and using inverse functions
Summary of key points
Chapter 3: The exponential and log functions
3.1: Introducing exponential functions of the form y=ax
3.2: Graphs of exponential functions and modelling using y=ex
3.3: Using ex and the inverse of the exponential function logex
Summary of key points
Chapter 4: Numerical methods
4.1: Finding approximate roots of f(x)=0 graphically
4.2: Using iterative and algebraic methods to find approximate roots of f(x)=0
Summary of key points
Review Exercise 1
Chapter 5: Transforming graphs of functions
5.1: Sketching graphs of the modulus function y=|f(x)|
5.2: Sketching graphs of the function y=f(|x|)
5.3: Solving equations involving a modulus
5.4: Applying a combination of transformations to sketch curves
5.5: Sketching transformations and labelling the coordinates of given point
Summary of key points
Chapter 6: Trigonometry
6.1: The functions secant ϴ, cosecant ϴ, and cotangent ϴ
6.2: The graphs of secant ϴ, cosecant ϴ, and cotangent ϴ
6.3: Simplifying expressions, proving identities and solving equations using sec ϴ, cosec ϴ, and c
6.4: Using the identities 1+tan2ϴ=sec2ϴ and 1+cot2ϴ=cosec2ϴ
6.5: Using inverse trigonometrical functions and their graphs
Summary of key points
Chapter 7: Further trigonometric identities and their applications
7.1: Using addition trigonometrical formulae
7.2: Using double angle trigonometrical formulae
7.3: Solving equations and proving identities using double angle formulae
7.4: Using the form acosϴ+bsinϴ in solving trigonometrical problems
7.5: The factor formulae
Summary of key points
Chapter 8: Differentiation
8.1: Differentiating using the chain rule
8.2: Differentiating using the product rule
8.3: Differentiating using the quotient rule
8.4: Differentiating the exponential function
8.5: Finding the differential of the logarithmic function
8.6: Differentiating sin x
8.7: Differentiating cos x
8.8: Differentiating tan x
8.9: Differentiating further trigonometrical functions
8.10: Differentiating functions formed by combining trigonometrical, exponential, logarithmic and po
Summary of key points
Review Exercise 2
Practice paper
Examination style paper
Formulae you need to remember
List of symbols and notation
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Tags: Keith Pledger, Edexcel, Modular
