Edexcel AS and A Level Modular Mathematics Core Mathematics 3 C3
1st Edition
Published on 30. September 2016
200 pages
978-1-292-18505-7 (ISBN)
Description
Edexcel and A Level Modular Mathematics C3 features: Student-friendly worked examples and solutions, leading up to a wealth of practice questions. Sample exam papers for thorough exam preparation. Regular review sections consolidate learning. Opportunities for stretch and challenge presented throughout the course. Escalator section to step up from GCSE. PLUS Free LiveText CD-ROM, containing Solutionbank and Exam Caf to support, motivate and inspire students to reach their potential for exam success. Solutionbank contains fully worked solutions with hints and tips for every question in the Student Books. Exam Caf includes a revision planner and checklist as well as a fully worked examination-style paper with examiner commentary.
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12/2008
Edexcel Limited
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Content
- Cover
- Contents
- About this book
- 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 ?, cosecant ?, and cotangent ?
- 6.2: The graphs of secant ?, cosecant ?, and cotangent ?
- 6.3: Simplifying expressions, proving identities and solving equations using sec ?, cosec ?, and cot ?
- 6.4: Using the identities 1+tan2?=sec2? and 1+cot2?=cosec2?
- 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 acos?+bsin? 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 polynomial functions
- Summary of key points
- Review Exercise 2
- Practice paper
- Examination style paper
- Formulae you need to remember
- List of symbols and notation
- Answers
- Index
