Further Pure Mathematics 2
A great course for mastery ahead of your Further Pure Maths (9231) exams
With this course, you will build up a strong grasp of A Level Further Pure Mathematics concepts. You will learn all the key concepts through prerecorded tutorial videos. Through this course you will also receive ample practice through worksheets to master all the concepts. The difficulty level for this course is moderate since I use simple explanations to explain tough concepts. This course is only suitable for serious learners who want to see serious results!
Key concepts of each topic explained
Learn how to handle common exam questions
High-quality questions to ensure sufficient practice
Exam Pass Guarantee
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Introduction
FREE PREVIEWDefinitions 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
FREE PREVIEWParametric 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
FREE PREVIEWEstimating 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
FREE PREVIEWDe 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
FREE PREVIEWSecond 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
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