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A-Level Further Pure Maths 2-Differential Equations PPT
The resource covers:
Find an integrating factor for a first order linear differential equation, and use an integrating factor to find the general solution
Recall the meaning of the terms ‘complementary function’ and ‘particular integral’ in the context of linear differential equations, and recall that the general solution is the sum of the complementary function and a particular integral
Find the complementary function for a first or second order linear differential equation with constant coefficients
Recall the form of, and find, a particular integral for a first or second order linear differential equation in the cases where a polynomial or ae^bx or a cos px + b sin px is a suitable form, and in other simple cases find the appropriate coefficient(s) given a suitable form of particular integral.
Use a given substitution to reduce a differential equation to a first or second order linear equation with constant coefficients or to a first order equation with separable variables.
Use initial conditions to find a particular solution to a differential equation, and interpret a solution in terms of a problem modelled by a differential equation
A-Level Further Pure Maths 2-Arc Length and Surface Area PPT
Use integration to find surface areas of revolution about one of the axes for curves with equations in Cartesian coordinates, including the use of a parameter.
A-Level Further Pure Maths 2-Approx Area under a Curve using Rectangles PPT
Approximating area under a curve using area of rectangles and use rectangles to estimate or set bounds for the area
under a curve or to derive inequalities or limits concerning sums
A-Level Further Pure Maths 2-Reduction Formula PPT
Derive and use reduction formulae for the evaluation of definite integrals
A-Level Further Pure Maths 2-Integrating Hyperbolic functions PPT
Integration hyperbolic functions and inverses
A-Level Further Pure Maths 2-Integration Lesson Booklet + Answers
The resource covers:
Integration hyperbolic functions and inverses
Derive and use reduction formulae for the evaluation of definite integrals
Approximating area under a curve using area of rectangles and use rectangles to estimate or set bounds for the area under a curve or to derive inequalities or limits concerning sums
Use integration to find arc lengths for curves with equations in Cartesian coordinates, including the use of a parameter, or in polar coordinates
Use integration to find surface areas of revolution about one of the axes for curves with equations in Cartesian coordinates, including the use of a parameter.
A-Level Further Pure Maths 2-Integration PPT
The resource covers:
Integration hyperbolic functions and inverses
Derive and use reduction formulae for the evaluation of definite integrals
Approximating area under a curve using area of rectangles and use rectangles to estimate or set bounds for the area under a curve or to derive inequalities or limits concerning sums
Use integration to find arc lengths for curves with equations in Cartesian coordinates, including the use of a parameter, or in polar coordinates
Use integration to find surface areas of revolution about one of the axes for curves with equations in Cartesian coordinates, including the use of a parameter.
A-Level Further Pure Maths 2-Integration PPT and Lesson Booklets
The resource covers:
Integration hyperbolic functions and inverses
Derive and use reduction formulae for the evaluation of definite integrals
Approximating area under a curve using area of rectangles and use rectangles to estimate or set bounds for the area
under a curve or to derive inequalities or limits concerning sums
Use integration to find arc lengths for curves with equations in Cartesian coordinates, including the use of a
parameter, or in polar coordinates
Use integration to find surface areas of revolution about one of the axes for curves with equations in Cartesian
coordinates, including the use of a parameter.
A-Level Further Pure Maths 2-Maclaurin's Series PPT
The resource covers Maclaurin’s series
A-Level Further Pure Maths 2-Differentiating Parametric equations PPT
The resource covers the differentiation of parametric equations
A-Level Further Pure Maths 2-Differentiating Inverse Trigonometric Functions PPT
The resource covers differentiation of inverse trigonometric functions
A-Level Further Pure Maths 2-Differentiating Implicit functions PPT
The resource covers the differentiation of implicit functions
A-Level Further Pure Maths 2-Differentiating Hyperbolic functions PPT
The resource covers the differentiating hyperbolic functions and inverses
A-Level Further Pure Maths 2-Differentiation Lesson Booklet+ Answers
The resource covers :
Differentiating hyperbolic functions and inverses
Differentiation implicit functions
Differentiating parametric equations
Differentiating inverse of trigonometric functions
Maclaurin series
A-Level Further Pure Maths 2-Differentiation PPT
The resource covers :
Differentiating hyperbolic functions and inverses
Differentiation implicit functions
Differentiating parametric equations
Differentiating inverse of trigonometric functions
Maclaurin series
A-Level Further Pure Maths 2-Differentiation PPT and Lesson Booklet
The resource covers :
Differentiating hyperbolic functions and inverses
Differentiation implicit functions
Differentiating parametric equations
Differentiating inverse of trigonometric functions
Maclaurin series
A-Level Further Maths-Proof by Induction PPT and Lesson Worksheet
Empower your students and elevate your lessons with our expertly designed PPT and lesson booklet for teaching proof by induction. Cover these critical concepts with confidence:
Summation of Series
General Terms in Sequences
Divisibility Rules
Matrix Products
Complex Numbers
Reduction Formulae
Finding the 𝑛𝑡ℎ Derivative
A-Level Further Maths-Proof by Induction PPT
Empower your students and elevate your lessons with our expertly designed PPT for teaching proof by induction. Cover these critical concepts with confidence:
Summation of Series
General Terms in Sequences
Divisibility Rules
Matrix Products
Complex Numbers
Reduction Formulae
Finding the 𝑛𝑡ℎ Derivative
A-Level Further Maths-Lesson Booklet+Answers
Empower your students and elevate your lessons with our expertly designed lesson booklet/worksheet for teaching proof by induction. Cover these critical concepts with confidence:
Summation of Series
General Terms in Sequences
Divisibility Rules
Matrix Products
Complex Numbers
Reduction Formulae
Finding the 𝑛𝑡ℎ Derivative
A-Level Further Maths-Summation of Series PPT and Lesson Worksheet
Derive standard results for ∑r, ∑r^2 and ∑r^3
Use the standard series for for ∑r, ∑r^2 and ∑r^3 to find related sums
Use method of difference to finite sum of series
Use partial fraction to find sum of series
Find sum of infinity to convergent series