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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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First Order Differential Equations (A-Level Further Maths)
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First Order Differential Equations (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource 37 slides Lesson Objectives: To understand what is meant by a linear, first order differential equation’. To recall how to solve some linear first order differential equations by separating variables. To know what is meant by a ‘Family of Solution Curves’. To know how to solve some linear first order differential equations using an integrating factor.
Matrices (A-Level Further Maths)
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Matrices (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource 64 slides To understand simple matrix terminology e.g. ‘matrix’, ‘order’. To be able add, subtract and multiply compatible matrices. To be able to ascertain whether or not matrix multiplication is commutative/associative. To know and use the properties of ‘square’, ‘identity’ and ‘zero’ matrices.
Asymptotes and Rational Functions (A-Level Further Maths)
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Asymptotes and Rational Functions (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource: 32 slides Lesson Objectives: To understand what is meant by an ‘asymptote’. To know how to find the equations of horizontal asymptotes. To know how to find the equations of vertical asymptotes. To be able to sketch the graphs of some rational functions.
Complex Numbers 2 (A-Level Further Maths)
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Complex Numbers 2 (A-Level Further Maths)

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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.
Diagonalisation of a Matrix (A-Level Further Maths)
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Diagonalisation of a Matrix (A-Level Further Maths)

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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.
Eigenvalues and Eigenvectors (A-Level Further Maths)
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Eigenvalues and Eigenvectors (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource 54 Slides To understand what is meant by ‘eigenvalues’ and ‘eigenvectors’. To understand how to find the ‘characteristic equation’. To be able to find eigenvalues and eigenvectors for given 2x2 and 3x3 matrices. Understand what is meant by the terms ‘normalised eigenvectors’, ‘orthogonal eigenvectors’ and ‘orthogonal matrices’. To be able to show that a given matrix is orthogonal.
Improper Integrals 1
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Improper Integrals 1

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A 'Teach Further Maths' Resource 12 slides Lesson Objectives: To understand what is meant by an ‘improper integral’. To be able to evaluate simple improper integrals.
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.
Improper Integrals 2
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Improper Integrals 2

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A 'Teach Further Maths' Resource 22 slides Lesson Objectives: To know what is meant by an ‘improper integral’. To know how to find certain improper integrals.
Linear Laws and Logarithms
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Linear Laws and Logarithms

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A 'Teach Further Maths' Resource. 25 slides Lesson Objectives: To recall the laws of logarithms. To be able to use logarithms to reduce certain relations to linear laws.
General Solutions of Trigonometric Equations
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General Solutions of Trigonometric Equations

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A 'Teach Further Maths' Resource 34 Slides To be able to find the general solution of simple trigonometric equations in degrees. To be able to find the general solution of simple trigonometric equations in radians.
MacLaurin's Series
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MacLaurin's Series

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A 'Teach Further Maths' Reesource 38 Slides To be able to use MacLaurin’s Series to find series expansions. To be able to find the Ranges of Validity for certain series.
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.
Hyperbolic Functions
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Hyperbolic Functions

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A 'Teach Further Maths' Resource 31 Slides To understand what is meant by hyperbolic functions. To be able to sketch graphs of hyperbolic functions. To be able to establish hyperbolic identities. To understand Osborn’s Rule.