Walter Maths Academy

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Definitions of sinh and cosh - Worked Examples 1

Definitions of sinh and cosh - Worked Examples 2

Hyperbolic Identities

Hyperbolic Graphs

Hyperbolic Graphs - Worked Examples

Inverse Hyperbolic Functions

Inverse Hyperbolic Functions - Worked Examples

Condensed Worked Solutions

Solving three linear simultaneous equations - Row Operations

Solutions of three linear simultaneous equations - Scenario 1

Solutions of three linear simultaneous equations - Scenario 2

Solutions of three linear simultaneous equations - Scenario 3

Solutions of three linear simultaneous equations - Worked Example 1

Solutions of three linear simultaneous equations - Worked Example 2

Eigenvalues and Eigenvectors - Introduction

Eigenvalues and Eigenvectors - 3 X 3 Matrices

Eigenvalues and Eigenvectors - Worked Examples 1

Eigenvalues and Eigenvectors - Worked Examples 2

Properties of Eigenvalues and Eigenvectors - Worked Examples 1

Properties of Eigenvalues and Eigenvectors - Worked Examples 2

The Cayley Hamilton Theorem

The Cayley Hamilton Theorem - Worked Example 1

The Cayley Hamilton Theorem - Worked Example 2

Diagonalisation

Diagonalisation - Worked Example 1

Diagonalisation - Worked Example 2

Diagonalisation - Powers of Matrices

Condensed Worked Solutions

Implicit differentiation

Implicit differentiation - Worked Examples

Parametric differentiation - Worked Examples

Maclaurin's Series

Maclaurin's Series - Worked Examples

Differentiating hyperbolic functions

Differentiating hyperbolic functions - Worked Examples

Differentiating inverse trigonometric functions

Differentiating inverse hyperbolic functions

Condensed Worked Solutions

Integrating Hyperbolic Functions

Integration Using Hyperbolic and Trigonometric Functions

Reduction Formulae

Reduction Formulae - Worked Examples 1

Reduction Formulae - Worked Examples 2

Reduction Formulae - Worked Examples 3

Estimating Area Under a Curve - Worked Examples 1

Estimating Area Under a Curve - Worked Examples 2

Estimating Area Under a Curve - Worked Examples 3

Finding Arc Length (Curve in Cartesian Form)

Finding Arc Length (Curve in Parametric Form)

Finding Arc Length (Curve in Polar Form)

Surface Areas of Revolution (Curve in Cartesian Form)

Surface Areas of Revolution (Curve in Parametric Form)

Condensed Worked Solutions

De Moivre's Theorem

De Moivre's Theorem - Proof by induction

De Moivre's Theorem - Trigonometric ratios of multiple angles

De Moivre's Theorem - Trigonometric ratios of multiple angles (Worked Examples 1)

De Moivre's Theorem - Trigonometric ratios of multiple angles (Worked Examples 2)

De Moivre's Theorem - Powers of Sine and Cosine (Worked Example)

De Moivre's Theorem - nth Roots of Unity

De Moivre's Theorem - nth Roots of Unity (Worked Example)

De Moivre's Theorem - nth Roots of Unity (Argument intervals)

De Moivre's Theorem - nth Roots of Any Complex Number

De Moivre's Theorem - nth Roots of Any Complex Number (Worked Example)

Complex Summations

Complex Summations (Worked Example 1)

Complex Summations (Worked Example 2)

Complex Summations (Worked Example 3)

Condensed Worked Solutions

First Order Linear Differential Equations

First Order Linear Differential Equations (Worked Examples 1)

First Order Linear Differential Equations (Worked Examples 2)

First Order Linear Differential Equations (Worked Examples 3)

Second Order Homogenous Differential Equations (Particular Solution)

Second Order Non-Homogenous Differential Equations

Second Order Non-Homogenous Differential Equations - Case 1 (Worked Examples)

Second Order Non-Homogenous Differential Equations - Case 2

Second Order Non-Homogenous Differential Equations - Case 2 (Worked Examples)

Second Order Non-Homogenous Differential Equations - Case 3

Second Order Non-Homogenous Differential Equations - Case 3 (Worked Examples)

Condensed Worked Solutions