Topic module: Further Pure 1 A-Level Edexcel

Complex numbers specimen questions (mixed exam boards)

Complex numbers In this tutorial, we solve problems from different exam boards involving complex numbers. The idea is to give you a more rounded approach to solving different topic problems. Edexcel A-Level Further Maths Specimen Paper 1 Q3 (Core Pure 1) 9 MARKS IB Maths AA HL Specimen Paper 1 (Section B) a) 5MARKS b) […]

Second Order Differential Equations – Still to be done

First Order Differential Equations – Still to be done

The Weierstrass substitution

Leibnitz’s theorem

Using Series Expansions to Find Limits : still to do

Solving trigonometric equations using the t-formulae

The t-formulae (Proof)

Angle between a line and a plane

Intersection of three planes

Equation of the directrix and coordinates of the focus

L’Hospital’s Rule – Still to be made

The conic sections of a circle, parabola, ellipse and hyperbola

Shortest distance from a point to a plane

Shortest distance between two skew lines

Vector product form of a line

Applications : Area of a triangle and parallelogram

Vector product (cross product)

Applications: volume

Triple scalar product

Finding equations of simple loci

Cartesian equation, focus and directrices

Finding equations of tangents and normals to a hyperbola

Cartesian and parametric equations and asymptotes for a hyperbola

Tangents and normals to an ellipse

The Ellipse – Cartesian and parametric forms

Exam Questions – Simpson’s Rule

Simpson’s Rule

Exam Questions – Taylor’s series

Exam Questions – Substitution types

Exam Questions – Modulus inequalities fractional type

Exam Questions – Hyperbola (rectangular)

Exam Questions – Parabola

Exam Questions – Modulus inequalities

The angle between two planes

The equation of the line of intersection between two non parallel planes

Finding the point of intersection between a line and a plane

Scalar product forms of a plane

Cartesian form of a plane

Parametric vector form of a plane

Cartesian form of a line

Solution to differential equations using Taylor’s series

Taylor’s series

Using substitution to reduce a differential equation to a known form

Using substitution to reduce a differential equation to a known form

Modulus inequalities fractional type

Fractional inequalities

Tangents and normals: parametric type

Tangents and normals : Cartesian type

Cartesian and parametric type

Tangents and normals: parametric types

Tangents and normals: Cartesian types

Parabola parametric form

Coordinate geometry: Parabola directrix, focus, locus and equation

Modulus inequalities