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- (i) Mathematical Notation, Terminology and Methods
- (i) Mathematical Notation and, Terminology and Methods
- (ii) Numerical Methods
- (iii) Mathematical Constants and Standard Functions
- (iv) Algebra
- (ix) Explain the concepts of probability
- (v) Calculus
- (vi) General
- (vii) Summarise the main features of a data set (exploratory data analysis)
- (viii) Understand and use permutations and combinations
- (x) Explain the concepts of random variable, probability distribution, distribution function, expected value, variance and higher moments, and calculate expected values and probabilities associated with the distribution of random variables
- 1 - Be familiar with standard mathematical notation and terminology.
- 2D Coordinates
- 2 - Know the representation and names of the letters of the Greek alphabet that are commonly used in mathematical, statistical and actuarial work
- 3 - Understand common mathematical expressions
- 4 - Understand the concept of a mathematical proof
- AND Rule
- A Tool for solving two simultaneous equations
- A Warm Up Exercise
- Addition Laws
- Addition and Subtraction of Complex Numbers
- Addition of Fractions
- Algebra Exam Question Answers
- Algebra Exam Questions
- Algebra and Variables
- Algebraic Manipulation
- An Alternative Description of Integration by Parts
- An Alternative Form
- An Alternative View (Extension Material)
- Analytical Solutions of Differential Equations
- Angles, Trigonometry
- Angles and Angular Measure
- Another Physical Example - The Lotka-Volterra Model
- Answers for Scatter Diagram Questions
- Answers to Data Collection Exam Question
- Answers to Data Handling Exam Questions
- Answers to Distributions Exam Question
- Answers to GCSE Probability Exam Question
- Answers to Interpreting Data Questions
- Application of De Moivre's Theorem in Establishing Trigonometric Identities
- Application to Compound Shapes
- Applications of Complex Numbers
- Applications of Second-order Differential Equations
- Applied Mathematics
- Apply simple iterative methods, to solve non-linear equations.
- Approximations of Functions
- Area, Volume, Perimeter
- Arithmetic
- Arithmetic, Social Arithmetic
- Arithmetic Series
- Background to Complex Numbers
- Bank Balance
- Basic Algebra
- Basic Introduction to PowerPoint
- Basic Manipulations
- Basic Operations
- Basic Operations to Manipulate Sets
- Basic Properties of a Set
- Basic Quadratic Test 1
- Basic Quadratic Test 2
- Basic properties of a set
- Bayes Rule
- Be able to carry out consistent calculations using a convenient multiple of a standard unit
- Be familiar with commonly used Latin expressions and abbreviations
- Be familiar with the Gregorian calendar
- Be familiar with the various mathematical constants
- Bearings
- Binomial Distribution
- Binomial Probability
- Binomial Theorem
- Binomial Theorem For Any Value of n
- Binomial Theorem For Positive Integer Powers
- Bivariate Data
- Calculate the absolute change, the proportionate change or the percentage change in a quantity
- Calculate the absolute error, the proportionate error or the percentage error
- Calculate the sum of various series
- Calculating Limits
- Carry out calculations involving matrices
- Carry out simple calculations involving vectors
- Cartesian Vectors
- Chain Rule
- Change of Variables in Double Integrals
- Check Answers
- Circle Theorems
- Click here for the Answers
- Click here for the Answers to data handling
- Co-ordinate Systems
- Combination of Functions
- Combining Trigonometric Ratios
- Common Notation Used in Handling Sets
- Common notation used in handling sets
- Complementary Functions and Particular Integrals
- Completing the Square
- Complex Numbers
- Complex Numbers in polar form
- Conditional Probability
- Constant of Integration using Parts
- Constructions, Loci
- Convergence/Divergence of Sequences
- Convergence of a Power Series
- Coordinates
- Core/Pure Mathematics
- Core Mathematics
- Cumulative Frequency Graphs, Box Plots
- Currency systems
- Current Flow
- Current in a Capacitor
- Curves and Curve Fitting
- Curves and Lines in 2-D coordinates
- Data Collection
- Data Collection Exam Questions
- Data Handling
- Data Handling Exam Questions
- De Moivre's Theorem
- Decimals, Percantages, Fractions
- Decimals, Percentages, Fractions
- Define Bayes’ Theorem for events
- Define basic properties satisfied by the probability of occurrence of an event, and calculate probabilities of events in simple situations
- Define independence for two events
- Define probability as a set function on a collection of events, stating basic axioms
- Define the addition rule for the probability of the union of two events
- Define the conditional probability
- Define the expected value of a function of a random variable
- Definite Integration using Integration by Parts
- Definition of a Hyperbolic Functions
- Derivation of Numerical Differentiation Formulae
- Derivation of Rule for Parametric Differentiation
- Derivation of Simpson's Rule
- Derivation of the Chain Rule
- Derivation of the Inversion Law
- Derivation of the Product Rule
- Derivation of the Quotient Rule
- Derivative Calculator
- Derivatives and Integrals of Hyperbolic Functions
- Derivatives and Stationary Points
- Describe the level/location of a set of data
- Describe the spread/variability of a set of data
- Descriptive Statistics
- Determinant Calculator
- Determine the units of measurement (dimensions) of a quantity
- Determine when a definite integral converges
- Differential Equation Solver
- Differential Equations
- Differentiate the standard functions
- Differentiation
- Differentiation Challenges
- Differentiation of Monomials and Polynomials
- Differentiation of Trigonometric Functions
- Differentiation of a Power Series
- Differentiation of the Exponential Function
- Differentiation of the Logarithmic Function
- Direct, Inverse Proportion
- Directly-Integrable Differential Equations
- Directly Integrable Second-Order Differential Equations
- Discriminant
- Displacement
- Distributions
- Distributions Exam Questions
- Division involving complex numbers
- Division involving fractions
- Domain and Range
- Double Integrals
- Double Integrals in Cartesian Co-ordinates
- Double Integrals in Polar Co-ordinates
- Elementary Matrices
- Enlargements
- Equalities, Inequalities and the Number Line
- Equalities and inequalities
- Equality and Inequality Signs
- Equation of a Line
- Equation of a Plane
- Equation of a Straight Line
- Equations, Variables, Parameters and Solutions
- Equations of Lines
- Error Analysis
- Estimate the numerical value of expressions without using a calculator and apply reasonableness tests to check the result of a calculation
- Euler's Formula
- Evaluate derivatives of sums, products and quotients
- Evaluate indefinite and definite integrals
- Evaluate numerical expressions using an electronic calculator
- Evaluate probabilities
- Exam Question Answers
- Exam Questions
- Examples of Integration by Parts
- Examples of Integration via Substitution
- Examples of the Chain Rule
- Examples of the Inversion Law
- Examples of the Product Rule
- Examples of the Quotient Rule
- Expand Out Brackets
- Expanding Brackets
- Explain what is meant by a continuous random variable
- Explain what is meant by a discrete random variable
- Explain what is meant by a set function, a sample space for an experiment, and an event
- Explain what is meant by symmetry and skewness for the distribution of a set of data
- Exponential Form
- Exponential Form of a Complex Number
- Exponential Limits
- Exponentials
- Express answers, where appropriate, in the form of a percentage (%) or as an amount per mil (‰)
- Expressing a number as a Product of Prime Factors
- Expressions and Equations
- FPM - Algebra and Graphs
- FPM - Applications of Vector Product
- FPM - Arc Length and Area of Surface of Revolution
- FPM - Calculus
- FPM - Complex Numbers
- FPM - Conics
- FPM - De Moivre's Theorem and its Applications
- FPM - Determinants
- FPM - Eigenvectors
- FPM - Hyperbolic Functions
- FPM - Introduction to Complex Numbers
- FPM - Introduction to Differential Equations
- FPM - Inverse Matrices
- FPM - Inverse Trigonometrical Functions
- FPM - Matrices and Transformations
- FPM - Matrix Algebra
- FPM - Numerical Methods for the Solution of First Order Differential Equations
- FPM - Numerical Methods of Solving Equations of the Form f(x) = 0
- FPM - Polar Coordinates
- FPM - Roots of Polynomial Equations
- FPM - Second Order Differential Equations
- FPM - Series
- FPM - Series and Limits
- FPM - Solving Differential Equations of the Form dy/dx = f(x)
- FPM - Solving Linear Equations
- FPM - Summation of Finite Series
- FPM - The Vector Product
- FPM - Trigonometry
- Factorisation
- Factorisation of Expressions
- Factorising
- Factors, Multiples, Primes
- Factors and Multiples
- Family of Solutions
- Felix Baumgartner
- First Order Differential Equations
- Force
- Formula 1
- Formulae, Expressions, Equations
- Fourier Transformations
- Fractional Power
- Fractional Powers
- Fractions
- Fractions and Decimals
- Frequency Distributions
- Functions
- Functions and Notation
- Fundamental Definition of a Derivative
- Fundamental Statistical Concepts
- Further Algebra
- Further Integration
- Further Interpretation of the Integration by Parts Formula
- Further Mathematics
- Further Properties of Matrices
- Further Pure Mathemaitcs 4
- Further Pure Mathematics 1
- Further Pure Mathematics 2
- Further Pure Mathematics 3
- Further Pure Mathematics 4
- Further Pure Maths 1
- Further Techniques of Differentiation
- Further Techniques of Differentiation I
- Further Techniques of Differentiation II
- Further Thoughts on Solving Quadratic Equations
- GCSE Algebra
- GCSE Completing the Square
- GCSE Conditional Probability
- GCSE Functions
- GCSE Graphs
- GCSE Measures of Central Tendency
- GCSE Number
- GCSE Order of Operations
- GCSE Probability
- GCSE Probability Exam Questions
- GCSE Pure Mathematics
- GCSE Quadratic Equations
- GCSE Refresher Course
- GCSE Shapes
- GCSE Simultaneous Equations
- GCSE Statistics
- GCSE Transformations, Enlargements
- GCSE Vectors
- Gaussian Elimination
- General Measures, Approximation
- General Solutions and Particular Solutions
- Geometric Series
- Glossary of Mathematical Terms
- Graphs Exam Questions
- Graphs Exam Questions Answers
- Graphs for Qualitative Data
- Graphs for Quantitative Data
- Graphs of Functions
- Graphs of variation
- Greek Letters
- Grouped Data
- Highest Common Factor and Lowest Common Multiple
- Homogeneous Differential Equations
- How Can We Make PowerPoint Interactive?
- How to Create a Wiki Article
- How to Derive The Formula
- Hyperbolic Functions
- Implicit Differentiation
- Indices, Surds
- Inequalities
- Installation of the Wolfram CDF Player
- Integral Transformations
- Integrate the standard functions
- Integration
- Integration Factors
- Integration Using a Power Series
- Integration as the Inverse of Differentiation
- Integration as the Process of Finding the Area under a Curve
- Integration by Parts
- Integration by parts and by substitution
- Integration of Linear Functions
- Integration of Rational Functions
- Integration of Rational Functions : Linear Divided by Quadratic
- Integration of Rational Functions modified by a Square Root
- Integration of Various Functions
- Integration to give Inverse Trigonometric Functions
- Integration using Trigonometric Identities
- Integration via Substitution
- Interactive Excel
- Interactive PowerPoint
- Interpolation
- Interpreting Data
- Interpreting Data Exam Questions
- Interquartile Range
- Introduction
- Introduction to Differential Equations
- Introduction to Differentiation
- Introduction to Double Integrals
- Introduction to Fourier Transformations
- Introduction to Fractions
- Introduction to Functions and Mappings
- Introduction to Hyperbolic Functions
- Introduction to Integration
- Introduction to Integration by Part
- Introduction to Integration via Substitution
- Introduction to Logarithms
- Introduction to Maclaurin and Taylor Series
- Introduction to Matrices
- Introduction to Multivariate Calculus