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   Chapter 1: Summary Statistics

1.1 

Mean, Median, Mode and Range

1.2 

Measuring Spread around the Mean

1.3 

Standard Deviation

1.4 

Using the Standard Deviation

1.5 

Summary Statistics Test

2.1 

Probability Distributions: Expectation and Variance

2.2 

Expected Value and Variance of Discrete Random Variables

2.3 

Binomial Probability Distribution

2.4 

Effect of n and p on the Probability Function Graph

2.5 

Expected Value and Variance of Binomial Distribution

2.6 

Distributions Test

3.1 

Normal Distribution using Mean and Standard Deviation

3.2 

The Standard Normal Curve



   Chapter 2: Discrete Random Variables

1.1 

Mean, Median, Mode and Range

1.2 

Measuring Spread around the Mean

1.3 

Standard Deviation

1.4 

Using the Standard Deviation

1.5 

Summary Statistics Test

2.1 

Probability Distributions: Expectation and Variance

2.2 

Expected Value and Variance of Discrete Random Variables

2.3 

Binomial Probability Distribution

2.4 

Effect of n and p on the Probability Function Graph

2.5 

Expected Value and Variance of Binomial Distribution

2.6 

Distributions Test

3.1 

Normal Distribution using Mean and Standard Deviation

3.2 

The Standard Normal Curve



   Chapter 3: Continuous Distributions

1.1 

Mean, Median, Mode and Range

1.2 

Measuring Spread around the Mean

1.3 

Standard Deviation

1.4 

Using the Standard Deviation

1.5 

Summary Statistics Test

2.1 

Probability Distributions: Expectation and Variance

2.2 

Expected Value and Variance of Discrete Random Variables

2.3 

Binomial Probability Distribution

2.4 

Effect of n and p on the Probability Function Graph

2.5 

Expected Value and Variance of Binomial Distribution

2.6 

Distributions Test

3.1 

Normal Distribution using Mean and Standard Deviation

3.2 

The Standard Normal Curve



   Chapter 1: Matrices

1.1 

Matrix Basics

1.2 

Scalar Multiplication of Matrices

1.3 

Powers

1.4 

Determinant of a Matrix

1.5 

Inverse of a Matrix

1.6 

Matrices Test



   Chapter 1: Differential Calculus

1.1 

Limits

1.2 

Continuity

1.3 

Derivative from First Principles

1.4 

Differentiating x to the power of n

1.5 

Negative values of n

1.6 

Differentiating roots of x

1.7 

The Chain Rule

1.8 

The Product Rule

1.9 

The Quotient Rule

1.10

Differentiation Test

2.1 

Gradient of a Line

2.2 

Rate of Change of Non-linear Functions

2.3 

Relating Gradient Function to Original Function

2.4 

Decreasing and Increasing Functions

2.5 

Stationary Points

2.6 

Nature of a Curve

2.7 

Maxima and Minima

2.8 

Graphs and Gradients Test

3.1 

Maxima and Minima in Everyday Life

3.2 

Related Rates of Change (using the Chain Rule)

3.3 

Curve Sketching

3.4 

Tangents and Normals

3.5 

Instantaneous Velocity

3.6 

Applications Test

4.1 

Laws of Indices

4.2 

Exponential Functions 1

4.3 

Logarithmic Functions

4.4 

Exponential Functions 2

4.5 

Differentiation of Exponential Functions

4.6 

Differentiation of Logarithmic Functions

4.7 

Differential Equations

4.8 

Exponentials and Logs Test



   Chapter 2: Graphs and Gradients

1.1 

Limits

1.2 

Continuity

1.3 

Derivative from First Principles

1.4 

Differentiating x to the power of n

1.5 

Negative values of n

1.6 

Differentiating roots of x

1.7 

The Chain Rule

1.8 

The Product Rule

1.9 

The Quotient Rule

1.10

Differentiation Test

2.1 

Gradient of a Line

2.2 

Rate of Change of Non-linear Functions

2.3 

Relating Gradient Function to Original Function

2.4 

Decreasing and Increasing Functions

2.5 

Stationary Points

2.6 

Nature of a Curve

2.7 

Maxima and Minima

2.8 

Graphs and Gradients Test

3.1 

Maxima and Minima in Everyday Life

3.2 

Related Rates of Change (using the Chain Rule)

3.3 

Curve Sketching

3.4 

Tangents and Normals

3.5 

Instantaneous Velocity

3.6 

Applications Test

4.1 

Laws of Indices

4.2 

Exponential Functions 1

4.3 

Logarithmic Functions

4.4 

Exponential Functions 2

4.5 

Differentiation of Exponential Functions

4.6 

Differentiation of Logarithmic Functions

4.7 

Differential Equations

4.8 

Exponentials and Logs Test



   Chapter 3: Practical Applications of Differentiation

1.1 

Limits

1.2 

Continuity

1.3 

Derivative from First Principles

1.4 

Differentiating x to the power of n

1.5 

Negative values of n

1.6 

Differentiating roots of x

1.7 

The Chain Rule

1.8 

The Product Rule

1.9 

The Quotient Rule

1.10

Differentiation Test

2.1 

Gradient of a Line

2.2 

Rate of Change of Non-linear Functions

2.3 

Relating Gradient Function to Original Function

2.4 

Decreasing and Increasing Functions

2.5 

Stationary Points

2.6 

Nature of a Curve

2.7 

Maxima and Minima

2.8 

Graphs and Gradients Test

3.1 

Maxima and Minima in Everyday Life

3.2 

Related Rates of Change (using the Chain Rule)

3.3 

Curve Sketching

3.4 

Tangents and Normals

3.5 

Instantaneous Velocity

3.6 

Applications Test

4.1 

Laws of Indices

4.2 

Exponential Functions 1

4.3 

Logarithmic Functions

4.4 

Exponential Functions 2

4.5 

Differentiation of Exponential Functions

4.6 

Differentiation of Logarithmic Functions

4.7 

Differential Equations

4.8 

Exponentials and Logs Test



   Chapter 4: Exponential and Logarithmic Functions

1.1 

Limits

1.2 

Continuity

1.3 

Derivative from First Principles

1.4 

Differentiating x to the power of n

1.5 

Negative values of n

1.6 

Differentiating roots of x

1.7 

The Chain Rule

1.8 

The Product Rule

1.9 

The Quotient Rule

1.10

Differentiation Test

2.1 

Gradient of a Line

2.2 

Rate of Change of Non-linear Functions

2.3 

Relating Gradient Function to Original Function

2.4 

Decreasing and Increasing Functions

2.5 

Stationary Points

2.6 

Nature of a Curve

2.7 

Maxima and Minima

2.8 

Graphs and Gradients Test

3.1 

Maxima and Minima in Everyday Life

3.2 

Related Rates of Change (using the Chain Rule)

3.3 

Curve Sketching

3.4 

Tangents and Normals

3.5 

Instantaneous Velocity

3.6 

Applications Test

4.1 

Laws of Indices

4.2 

Exponential Functions 1

4.3 

Logarithmic Functions

4.4 

Exponential Functions 2

4.5 

Differentiation of Exponential Functions

4.6 

Differentiation of Logarithmic Functions

4.7 

Differential Equations

4.8 

Exponentials and Logs Test



   Chapter 1: Integration (Anti-differentiation)

1.1 

Anti differentiation

1.2 

The Definite Integral

1.3 

Integration of Exponential Functions

1.4 

Integration of Logarithms

1.5 

Integration by Substitution

1.6 

Area under a Curve and between Two Curves

1.7 

Velocity and Acceleration

1.8 

Integration Test



   Chapter 1: Randomised Revision Tests

1.1 

Revision Test 1

1.2 

Revision Test 2

1.3 

Revision Test 3

1.4 

Revision Test 4

1.5 

Revision Test 5