A2-Level Maths OCR MEI Complete Revision & Practice

✍ Scribed by coll

• Publisher: Coordination Group Publications Ltd (CGP)
• Year: 2011
• Tongue: English
• Leaves: 274
• Category: Library

✦ Synopsis

This book is full of clear revision notes and exam practice questions for A2 Maths students. It covers the C3, C4, S2 and M2 modules for the OCR MEI exam, and it’s easy to read and revise from - everything’s explained simply and thoroughly. Every few pages there are quick warm-up questions, some exam-style questions and at the end of each module there are two practice exam papers (answers at the back). There’s also a sprinkling of jokes to lighten the mood. It’s exactly what you need to prepare for your exams!

✦ Table of Contents

Contents
C3
C3 Section 1 — Algebra and Functions
Simplifying Expressions
Algebraic Division
Algebraic Division
Functions and Mappings
Composite Functions
Inverse Functions
Modulus
Modulus
Transformations of Graphs
C3 Section 1 — Practice Questions
C3 Section 1 — Practice Questions
C3 Section 2 — Trigonometry
Arcsine, Arccosine and Arctangent
Secant, Cosecant and Cotangent
Using Trigonometric Identities
The Addition Formulas
The Double Angle Formulas
The R Addition Formulas
More Trigonometry Stuff
C3 Section 2 — Practice Questions
C3 Section 2 — Practice Questions
C3 Section 3 — Exponentials and Logarithms
ex, ln x and Graphs
Using ex and ln x — Solving Equations
Using ex and ln x — Solving Equations
C3 Section 3 — Practice Questions
C3 Section 3 — Practice Questions
C3 Section 4 — Differentiation
Chain Rule
Differentiation of ex and ln x
Differentiation of Sin, Cos and Tan
Product Rule
Quotient Rule
More Trig Differentiation
More Differentiation
C3 Section 4 — Practice Questions
C3 Section 4 — Practice Questions
C3 Section 5 — Numerical Methods
Location of Roots
Iterative Methods
Iterative Methods
C3 Section 5 — Practice Questions
C3 Section 5 — Practice Questions
Core Mathematics C3 — Practice Exam One
Core Mathematics C3 — Practice Exam Two
C4
C4 Section 1 — Algebra and Functions
Partial Fractions
Partial Fractions
C4 Section 1 — Practice Questions
C4 Section 2 — Coordinate Geometry in the (x, y) Plane
Parametric Equations of Curves
Using Parametric Equations
Parametric and Cartesian Equations
Areas Under Parametric Curves
C4 Section 2 — Practice Questions
C4 Section 2 — Practice Questions
C4 Section 3 — Sequences and Series
The Binomial Expansion
The Binomial Expansion
The Binomial Expansion
Approximating with Binomial Expansions
Binomial Expansions and Partial Fractions
C4 Section 3 — Practice Questions
C4 Section 3 — Practice Questions
C4 Section 4 — Differentiation
Differentiation with Parametric Equations
Implicit Differentiation
Implicit Differentiation
Differentiation of ax
Relating Rates of Change
C4 Section 4 — Practice Questions
C4 Section 4 — Practice Questions
C4 Section 5 — Integration 1
Integration of ex and 1/x
Integration of Sin and Cos
Integration of f´(x)/f(x)
Integration Using the Chain Rule Backwards
Integrating Trig Things Using Trig Identities
C4 Section 5 — Practice Questions
C4 Section 6 — Integration 2
Integration by Substitution
Integration by Parts
Tough Integrals
Volumes of Revolution
Differential Equations
Differential Equations
Numerical Integration
C4 Section 6 — Practice Questions
C4 Section 6 — Practice Questions
C4 Section 7 — Vectors
Vectors
Vectors
Vectors
Vector Equations of Lines
Scalar Product
Scalar Product
Scalar Product
C4 Section 7 — Practice Questions
C4 Section 7 — Practice Questions
Core Mathematics C4 — Practice Exam One
Core Mathematics C4 — Practice Exam Two
S2
S2 Section 1 — The Binomial Distribution
Binomial Coefficients
The Binomial Probability Function
The Binomial Distribution
Using Binomial Tables
Mean and Variance of B(n,p)
Binomial Distribution Problems
S2 Section 1 — Practice Questions
S2 Section 1 — Practice Questions
S2 Section 2 — The Poisson Distribution
The Poisson Distribution
The Poisson Parameter
Using Poisson Tables
Po(lambda) as an Approximation to B(n, p)
Worked Problems
S2 Section 2 — Practice Questions
S2 Section 2 — Practice Questions
S2 Section 3 — Continuous Random Variables
Probability Density Functions
Probability Density Functions
Cumulative Distribution Functions
Cumulative Distribution Functions
Mean of a Continuous Random Variable
Variance of a Continuous Random Variable
Mode, Median and Quartiles
S2 Section 3 — Practice Questions
S2 Section 3 — Practice Questions
S2 Section 4 — Continuous Distributions
Continuous Uniform Distributions
Continuous Uniform Distributions
Applications of U[a, b]
Normal Approximation to B(n, p)
Normal Approximation to B(n, p)
Normal Approximation to Po(lambda)
More About Approximations
S2 Section 4 — Practice Questions
S2 Section 4 — Practice Questions
S2 Section 5 — Hypothesis Tests
Populations and Samples
Sampling
Statistics
Null and Alternative Hypotheses
Significance Levels and Critical Regions
Hypothesis Tests and Binomial Distributions
Hypothesis Tests and Binomial Distributions
Hypothesis Tests and Poisson Distributions
S2 Section 5 — Practice Questions
S2 Section 5 — Practice Questions
Statistics S2 — Practice Exam One
Statistics S2 — Practice Exam Two
Edexcel S2 — Statistical Tables
M2
M2 Section 1 — Kinematics
Projectiles
Projectiles
Projectiles
Displacement, Velocity and Acceleration
Displacement, Velocity and Acceleration
Describing Motion Using Vectors
Describing Motion Using Vectors
M2 Section 1 — Practice Questions
M2 Section 1 — Practice Questions
M2 Section 2 — Centres of Mass
Discrete Groups of Particles in 1 Dimension
Discrete Groups of Particles in 2 Dimensions
Standard Uniform Laminas
Composite Shapes
Frameworks
Laminas in Equilibrium
M2 Section 2 — Practice Questions
M2 Section 2 — Practice Questions
M2 Section 3 — Work and Energy
Work Done
Kinetic and Potential Energy
Kinetic and Potential Energy
The Work-Energy Principle
The Work-Energy Principle
Power
M2 Section 3 — Practice Questions
M2 Section 3 — Practice Questions
M2 Section 4 — Collisions
Momentum and Impulse
Momentum and Impulse
Collisions
Collisions
Complex Collisions
Complex Collisions
Collisions and Energy
M2 Section 4 — Practice Questions
M2 Section 4 — Practice Questions
M2 Section 5 — Statics of Rigid Bodies
Moments
Moments
Rigid Bodies
Rigid Bodies and Friction
Rigid Bodies and Friction
Section Five — Practice Questions
Section Five — Practice Questions
Mechanics M2 — Practice Exam One
Mechanics M2 — Practice Exam Two
Answers
C3 Section 1 — Algebra and Functions
C3 Section 2 — Trigonometry
C3 Section 3 — Exponentials and Logs
C3 Section 4 — Differentiation
C3 Section 5 — Numerical Methods
C3 — Practice Exam One
C3 — Practice Exam Two
C4 Section 1 — Algebra and Functions
C4 Section 2 — Coordinate Geometry inthe (x, y) Plane
C4 Section 3 — Sequences and Series
C4 Section 4 — Differentiation
C4 Section 5 — Integration 1
C4 Section 6 — Integration 2
C4 Section 7 — Vectors
C4 — Practice Exam One
C4 — Practice Exam Two
S2 Section 1 — The Binomial Distribution
S2 Section 2 — The Poisson Distribution
S2 Section 3 —Continuous Random Variables
S2 Section 4 — Continuous Distributions
S2 Section 5 — Hypothesis Tests
S2 — Practice Exam One
S2 — Practice Exam Two
M2 Section 1 — Kinematics
M2 Section 2 — Centres of Mass
M2 Section 3 — Work and Energy
M2 Section 4 — Collisions
M2 Section 5 — Statics of Rigid Bodies
M2 Practice Exam One
M2 Practice Exam Two
Index