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Further Indices

Further Indices

Power and Work-Energy Principle

Power and Work-Energy Principle

Variable Resistance to Motion

Variable Resistance to Motion

Power and Slopes

Power and Slopes

Power

Power

Indices

Indices

Rationalising the Denominator

Rationalising the Denominator

Surds

Surds

Using Vectors with F=ma

Using Vectors with F=ma

Geometrical Figures

Geometrical Figures

Vector Geometry

Vector Geometry

Vector Proofs 2

Vector Proofs 2

Vector Proofs 1

Vector Proofs 1

Unit Vectors

Unit Vectors

Vectors and Resultant Forces

Vectors and Resultant Forces

Working with 2D Vectors

Working with 2D Vectors

Work-Energy Principle 2

Work-Energy Principle 2

Work - Energy Principle 1

Work - Energy Principle 1

Converting Vectors to Magnitude Direction Form

Converting Vectors to Magnitude Direction Form

Vector Forms

Vector Forms

Conservation of Mechanical Energy

Conservation of Mechanical Energy

F=ma Lift Problems

F=ma Lift Problems

Coefficient of Friction

Coefficient of Friction

Work Done and Resolving Forces

Work Done and Resolving Forces

Using F=ma and suvat

Using F=ma and suvat

Newton’s Second Law

Newton’s Second Law

Contingency Tables

Contingency Tables

Testing a Binomial Distribution as a Model

Testing a Binomial Distribution as a Model

Newton’s First Law

Newton’s First Law

Forces

Forces

Complex Roots 2

Complex Roots 2

Complex Roots 1

Complex Roots 1

Linear Interpolation

Linear Interpolation

5 Projection at any angle 3

5 Projection at any angle 3

4 Projection at any angle

4 Projection at any angle

3 Projection at any angle

3 Projection at any angle

1 Coupled First Order Simultaneous Equations

1 Coupled First Order Simultaneous Equations

2 Horizontal and Vertical Components

2 Horizontal and Vertical Components

1 Horizontal Projection

1 Horizontal Projection

4 Dynamics and Inclined Planes

4 Dynamics and Inclined Planes

3 Friction - Inclined Plane 2

3 Friction - Inclined Plane 2

2 Friction - Inclined Plane

2 Friction - Inclined Plane

1 Friction - Horizontal Surface

1 Friction - Horizontal Surface

6 Forced Harmonic Motion

6 Forced Harmonic Motion

5 Forced Harmonic Motion

5 Forced Harmonic Motion

4 Damped Harmonic Motion Example

4 Damped Harmonic Motion Example

3 Damped Harmonic Motion

3 Damped Harmonic Motion

2 Damped Harmonic Motion

2 Damped Harmonic Motion

1 Damped Harmonic Motion

1 Damped Harmonic Motion

6 SHM Example 2

6 SHM Example 2

6 Finding Tensions

6 Finding Tensions

5 Simple Harmonic Motion

5 Simple Harmonic Motion

5 Inclined Planes 2

5 Inclined Planes 2

4 Inclined Plane 1

4 Inclined Plane 1

4 Modelling Concentration 2

4 Modelling Concentration 2

3 Modelling - Concentration

3 Modelling - Concentration

2 Modeling - Integrating Factor

2 Modeling - Integrating Factor

1 Modeling with First Order DEs

1 Modeling with First Order DEs

3 F=ma

3 F=ma

2 Equilibrium

2 Equilibrium

1 Resolving Forces

1 Resolving Forces

5 Approximating the Binomial

5 Approximating the Binomial

4 Continuity Corrections

4 Continuity Corrections

4 Particular Solutions

4 Particular Solutions

3 Using Particular Integrals 3

3 Using Particular Integrals 3

2 Using Particular Integrals 2

2 Using Particular Integrals 2

1 Using Particular Integrals

1 Using Particular Integrals

3 Critical Regions

3 Critical Regions

2 Hypothesis Testing for the Mean 2

2 Hypothesis Testing for the Mean 2

1 Hypothesis Testing for the Mean

1 Hypothesis Testing for the Mean

2 Finding Unknowns 2

2 Finding Unknowns 2

1 Finding Unknowns 1

1 Finding Unknowns 1

5 No Real Roots

5 No Real Roots

4 Repeated Real Root

4 Repeated Real Root

3 Two Distinct Real Roots

3 Two Distinct Real Roots

2 Second Order DEs

2 Second Order DEs

1 Particular Solutions to 1st Order DEs

1 Particular Solutions to 1st Order DEs

6 The Standard Normal Distribution

6 The Standard Normal Distribution

5 The Inverse Normal Distribution

5 The Inverse Normal Distribution

4 Normal Qs with Binomial

4 Normal Qs with Binomial

4 Integrating Factor Examples

4 Integrating Factor Examples

3 Integrating Factor

3 Integrating Factor

3 Recap on Binomial Distribution

3 Recap on Binomial Distribution

2 Calculating Probabilities

2 Calculating Probabilities

1 What is the Normal Distribution?

1 What is the Normal Distribution?

2 Reversing the Product Rule

2 Reversing the Product Rule

1 First Order DEs Revision

1 First Order DEs Revision

6 Vectors - Impulse and Momemtum

6 Vectors - Impulse and Momemtum

5 Impact of Two Spheres and Vectors

5 Impact of Two Spheres and Vectors

9 Methods of Proof

9 Methods of Proof

8 Proof by Contradiction Examples

8 Proof by Contradiction Examples

7 Proof there are an Infinite Number of Primes

7 Proof there are an Infinite Number of Primes

6 Proof Root 2 is Irrational

6 Proof Root 2 is Irrational

4 Oblique Impact - Q4

4 Oblique Impact - Q4

5 Using Vectors Example 2

5 Using Vectors Example 2

4 Using Vectors Example 1

4 Using Vectors Example 1

3 Traveling Along Vectors

3 Traveling Along Vectors

2 3D Vectors

2 3D Vectors

1 3D Coordiinates

1 3D Coordiinates

3 Oblique Impact Example 8

3 Oblique Impact Example 8

2 Oblique Impact Example 7

2 Oblique Impact Example 7

1 Oblique Impact of Smooth Spheres

1 Oblique Impact of Smooth Spheres

6 Oblique Impact Using Vectors Example

6 Oblique Impact Using Vectors Example

5 Oblique Impact Using Vectors

5 Oblique Impact Using Vectors

8 Failure of Newton Raphson

8 Failure of Newton Raphson

7 Newton Raphson Example

7 Newton Raphson Example

6 The Newton-Raphson Method

6 The Newton-Raphson Method

5 Graphical Representation of x=g(x)

5 Graphical Representation of x=g(x)

4 Fixed Point Iterative Formula

4 Fixed Point Iterative Formula

3 Fixed Point Iteration Method

3 Fixed Point Iteration Method

2 Change of Sign Method Example

2 Change of Sign Method Example

1 Change of Sign Method

1 Change of Sign Method

4 Vectors and Collisions

4 Vectors and Collisions

3 Successive Oblique Impacts

3 Successive Oblique Impacts

2 Successive Oblique Impacts 2

2 Successive Oblique Impacts 2

1 Successive Oblique Impacts

1 Successive Oblique Impacts

7 Oblique Impact

7 Oblique Impact

4 Solving Differential Equations

4 Solving Differential Equations

6 Oblique Impact Example 3

6 Oblique Impact Example 3

5 Oblique Impact Example 2

5 Oblique Impact Example 2

4 Oblique Impact Example 1

4 Oblique Impact Example 1

3 Oblique Impact of a Sphere on a Plane

3 Oblique Impact of a Sphere on a Plane

2 Momentum and Impulse in 2 Dimensions

2 Momentum and Impulse in 2 Dimensions

1 Momentum and Impulse in 2 Dimensions

1 Momentum and Impulse in 2 Dimensions

3 Solving Differential Equations 2

3 Solving Differential Equations 2

2 Solving Differential Equations 1

2 Solving Differential Equations 1

1 Recap on Forming DEs from Rates of Change

1 Recap on Forming DEs from Rates of Change

4 Proportionality

4 Proportionality

3 Forming Differential Equations 3

3 Forming Differential Equations 3

2 Forming Differential Equations 1

2 Forming Differential Equations 1

1 Connected Rates of Change

1 Connected Rates of Change

5 Proving Further Identities

5 Proving Further Identities

4 Area of a Sector

4 Area of a Sector

3 Arc Length

3 Arc Length

2 Sums Example

2 Sums Example

1 Sums of Independent Random Variables

1 Sums of Independent Random Variables

2 Using Trig Identities

2 Using Trig Identities

1 Multiple Angles

1 Multiple Angles

7 Solving Equations 2

7 Solving Equations 2

6 Solving Equations

6 Solving Equations

5 Intro to Radians

5 Intro to Radians

7 Mean Variance Example 2

7 Mean Variance Example 2

6 Mean Variance Example

6 Mean Variance Example

4 Geometric Series Sigma Notation

4 Geometric Series Sigma Notation

5 Mean and Variance

5 Mean and Variance

4 PGF Negative Binomial

4 PGF Negative Binomial

3 PGF Geometric

3 PGF Geometric

3 Sum to Infinity

3 Sum to Infinity

2 Convergent Geometric Series

2 Convergent Geometric Series

1 Sum of Geometric Series

1 Sum of Geometric Series

2 PGF Poisson

2 PGF Poisson

1 PGF Binomial

1 PGF Binomial

10 Geometric Sequences Examples

10 Geometric Sequences Examples

9 Geometric Sequences

9 Geometric Sequences

8 Arithmetic Sigma Notation

8 Arithmetic Sigma Notation

7 PGF Examples

7 PGF Examples

6 Probability Generating Functions

6 Probability Generating Functions

7 Arithmetic Examples

7 Arithmetic Examples

6 Proof of Sum Formula

6 Proof of Sum Formula

5 Forming Equations

5 Forming Equations

5 NB Mean & Variance Example

5 NB Mean & Variance Example

4 NB E(X) Proof

4 NB E(X) Proof

3 NB Total Probability Proof

3 NB Total Probability Proof

2 Negative Binomial Example

2 Negative Binomial Example

1 Negative Binomial Distribution

1 Negative Binomial Distribution

4 Arithmetic Sequences

4 Arithmetic Sequences

3 Sigma Notation

3 Sigma Notation

2 Recurrence Relationships Example

2 Recurrence Relationships Example

1 Sequences - Definitions

1 Sequences - Definitions

9 Using Inverses to Solve Equations

9 Using Inverses to Solve Equations

8 Working with Natural Logaritms

8 Working with Natural Logaritms

8 Geometric Two- tailed Tests

8 Geometric Two- tailed Tests

7 Geometric Critical Regions 2

7 Geometric Critical Regions 2

6 Geometric Critical Regions 1

6 Geometric Critical Regions 1

5 Geometric Hypothesis Testing 2

5 Geometric Hypothesis Testing 2

4 Geometric Hypothesis Testing 1

4 Geometric Hypothesis Testing 1

7 Natural Logarithms - Sketching

7 Natural Logarithms - Sketching

6 Exponential Modelling

6 Exponential Modelling

5 The Exponential Function

5 The Exponential Function

4 Modulus Function - Curve Sketching

4 Modulus Function - Curve Sketching

3 Modulus Function - Equations and Inequalities

3 Modulus Function - Equations and Inequalities

2 The Modulus Function - Sketching and Transformations

2 The Modulus Function - Sketching and Transformations

1 The Modulus Function - Sketching

1 The Modulus Function - Sketching

3 The Geometric Distribution - Mean and Variance

3 The Geometric Distribution - Mean and Variance

2 The Geometric Distribution 2

2 The Geometric Distribution 2

1 The Geometric Distribution

1 The Geometric Distribution

7 Inverse Functions 4

7 Inverse Functions 4

6 Inverse Functions 3

6 Inverse Functions 3

5 Inverse Functions 2

5 Inverse Functions 2

4 Inverse Functions 1

4 Inverse Functions 1

4 Method of Differences - Proving Standard Results

4 Method of Differences - Proving Standard Results

3 Method of Differences - Partial Fractions

3 Method of Differences - Partial Fractions

3 Composite Functions

3 Composite Functions

2 Domain and Range

2 Domain and Range

1 Functions - Mappings

1 Functions - Mappings

2 Method of Differences - More Generally

2 Method of Differences - More Generally

1 Method of Differences

1 Method of Differences

6 Binomial Expansions - Partial Fractions

6 Binomial Expansions - Partial Fractions

5 Binomial Expansions — Approximations

5 Binomial Expansions — Approximations

1 Binomial Expansions - Proving the Formula

1 Binomial Expansions - Proving the Formula