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Teach Further Maths

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'Teach Further Maths' is a suite of Maths PowerPoint presentations for Teachers and Students of Further Mathematics A Level, AS Level or equivalent. 68 high quality, fully animated colour further maths PowerPoint presentations, consisting of over 3000 slides - a comprehensive teaching resource. PowerPoints covering all of the major topics from the syllabi - Polar Coordinates, Matrices, Differential Equations etc...) Complete further maths A level lessons ready to deliver

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'Teach Further Maths' is a suite of Maths PowerPoint presentations for Teachers and Students of Further Mathematics A Level, AS Level or equivalent. 68 high quality, fully animated colour further maths PowerPoint presentations, consisting of over 3000 slides - a comprehensive teaching resource. PowerPoints covering all of the major topics from the syllabi - Polar Coordinates, Matrices, Differential Equations etc...) Complete further maths A level lessons ready to deliver

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Matrix Solution of Simultaneous Equations
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Matrix Solution of Simultaneous Equations

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A 'Teach Further Maths' Resource 24 Slides To be able to solve linear simultaneous equations by finding the inverse of a matrix. To appreciate that the determinant can be used to determine the existence (or not) of a unique solution for a system of linear simultaneous equations.
Diagonalisation of a Matrix
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Diagonalisation of a Matrix

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A 'Teach Further Maths' Resource 40 Slides To understand what is meant by ‘diagonal matrices’ and ‘symmetric matrices’. To understand what is meant by ‘diagonalising’ a matrix. To be able to deduce diagonalisability for simple 2x2 and 3x3 matrices. To be able to diagonalise a given symmetric matrix. To apply the method of diagonalisation to evaluate the power of a given symmetric matrix.
Polar Coordinates 1
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Polar Coordinates 1

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A 'Teach Further Maths' Resource 42 slides Lesson Objectives: To understand what is meant by ‘Polar Coordinates’. To be able to plot Polar Coordinates. To be able to sketch curves given in Polar form. To understand that some simple polar curves can be sketched without plotting points.
Complex Numbers 2
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Complex Numbers 2

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A 'Teach Further Maths' Resource 55 slides Lesson Objectives: To understand what is meant by an Argand Diagram. To understand what is meant by the Modulus and Argument of a complex number. To be able to divide one complex number by another complex number. To solve equations using Real and Imaginary parts. To understand what is meant by Modulus-Argument form. To multiply and divide complex numbers written in modulus-argument form.
More Asymptotes and Rational Functions
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More Asymptotes and Rational Functions

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A 'Teach Further Maths' Resource 46 slides Lesson Objectives: To be able to sketch curves for certain rational functions. Find the regions for which certain rational functions actually exist. Find stationary points without the use of calculus.
Modelling with First Order Differential Equations
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Modelling with First Order Differential Equations

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A ‘Teach Further Maths’ Resource To be able to model certain situations using 1st order differential equations. To be able to model certain situations using coupled 1st order differential equations. (64 Slides)
Modelling with Second Order Differential Equations
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Modelling with Second Order Differential Equations

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A ‘Teach Further Maths’ Resource To be able to model simple harmonic motion using 2nd order differential equations. To be able to model damped (and forced) oscillations using 2nd order differential equations. (38 Slides)
Further Vectors 6
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Further Vectors 6

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A ‘Teach Further Maths’ Resource To be able to find the vector product of two vectors. To understand various properties of the vector product. To be able to use the vector product to find perpendicular vectors. To be able to find certain areas and volumes using the vector product. (52 Slides)
The Mean Value Theorem
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The Mean Value Theorem

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A ‘Teach Further Maths’ Resource To understand and use the Mean Value Theorem for integration. To understand the term ‘Root Mean Square Value’ and know how to calculate it for certain functions. (37 Slides)
Further Numerical Integration
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Further Numerical Integration

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A ‘Teach Further Maths’ Resource To be able to approximate the area under a curve using the Mid-Ordinate Rule. To be able to approximate the area under a curve using Simpson’s Rule. (51 Slides)
Factorising Determinants
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Factorising Determinants

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A ‘Teach Further Maths’ Resource To know and use the basic rules for simplifying determinants. To be able to factorise determinants. (57 Slides)
Modulus of Functions and Associated Inequalities
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Modulus of Functions and Associated Inequalities

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A ‘Teach Further Maths’ Resource To be able to recall and use the transformation rules involving the modulus function. To be able to solve various types inequalities involving the modulus function. (57 Slides)
Length of a Curve
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Length of a Curve

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A 'Teach Further Maths' Resource 20 Slides To find the length of a curve when the curve is given in Cartesian form. To find the length of a curve when the curve is given in Parametric form.
Polar Coordinates 3
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Polar Coordinates 3

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A 'Teach Further Maths' Resource 20 Slides To use the skills learnt so far to solve exam style polar geometry questions.
Graphical Solution of Inequalities
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Graphical Solution of Inequalities

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A 'Teach Further Maths' Resource 34 slides Lesson Objectives: To be able to solve inequalities involving rational expressions using a graphical method.
Series
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Series

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A 'Teach Further Maths' Resource 47 Slides To understand and use Sigma notation. To be able to derive and use the formula for ∑r. To be able to use the formulae for ∑r2 and ∑r3. To be able to solve series questions requiring algebraic manipulation.
More First and Second Order Differential Equations 2
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More First and Second Order Differential Equations 2

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A 'Teach Further Maths' Resource 38 Slides To understand the chain rule when using first and second order derivatives. Use a substitution in conjunction with the chain rule to solve certain second order differential equations.
Numerical Methods for 1st Order Differential Equations
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Numerical Methods for 1st Order Differential Equations

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A 'Teach Further Maths' Resource 57 Slides To be able to solve first order differential equations of the form dy/dx = f(x) using the following ‘step by step’ methods: 1. Euler’s method 2. The Mid-Point method. 3. The Improved Euler method.