C+C

Cooper and Caulcott Ltd Mathematical and Scientific Consultants

If there is any A level Maths/Further Maths topic or problem that you would like me to produce a video about then please email me: mailto:nsc1729@gmail.com
Similarly, if you would like online maths tuition please drop me an email.

General Interest videos

The SIR Model of Epidemics

Epidemics and Exponentials

The Greenhouse Effect

An Introduction to Groups

Sixth Form Maths videos

Note: Chapter and Section Numbers are taken from the Cambridge books for OCR A.

AS Maths

Chapter 7: Differentiation

7.1 An Introduction to Logarithms

Chapter 13: Differentiation

13.1 The Gradient Function


A Level Maths

Chapter 2: Functions

2.1 Functions and Mappings

2.2 Functions: Domain and Range

2.3 Composite Function

2.4 Inverse Functions

2.4 When does the Inverse Functions exist? Ex 2E Inverse Functions for quadratics

Chapter 3: Further Transformations of Graphs

3.1 Successive Transformations

3.1a Example: Successive Trigonometric Transformations

Chapter 4: Sequences and Series

4.1 General Sequences

4.2 General Series and Sigma Notation

4.3 Arithmetic Sequences

4.4 Arithmetic Series

4.5 Geometic Sequences

4.6 Geometic Series

4.7 Infinite Geometic Series Ex 4G Worked Solutions

4.8 Problem solving with sequences and series

Chapter 5: Rational Functions and Partial Fractions

5.1 Factor Theorem Review Ex 5A Worked Solutions

5.2 Simplifying Rational Expressions Ex 5B Worked Solutions

5.3 Simple Partial Fractions

5.4 Partial Fractions with a repeated factor

Chapter 7: Radian Measure

7.1 Radians

7.2 Inverse Trigonometric Functions

7.3 Modelling with Trigonometric Functions

7.4 Arc Length and Sector Area

7.5 Triangles and Circles


AS Further Maths - Pure

Chapter 1: Matrices

1.1 Matrix Addition and Subtraction

1.2 Matrix Multiplication

1.3 Matrix Inverses

1.4a Determinants of 3x3 Matrices

1.4b Inverses of 3x3 Matrices

Chapter 2: Further Vectors

2.1 Vector Equation of the Line

2.2 Cartesian Equation of the Line

2.3 Intersecting Lines

2.4 The Scalar Product

2.5 The Vector Product

Chapter 3: Applications of Matrices

3.1 Solving Linear Simultaneous equations

3.2 Matrix Transformations

3.3 Further Matrix Transformations

3.4 Invariant Points and Lines

3.5 3D Transformations also 3D Transformations Example

Chapter 4: Complex Numbers

4.1 An Introduction to Complex Numbers

4.2 Division and Complex Conjugates

4.3 The Argand Diagram also Argand Diagram Example

4.4a Radians

4.4b Modulus and Argument

4.5 Loci also Complex Loci Example also Complex Loci Example 2

4.6 Operations in Modulus-Argument form

Chapter 5: Roots of Polynomials

5.1 Factorising Polynomials.

5.2 Complex Solutions to Polynomial Equations

5.3 Roots and Coefficients

5.4 Finding an Equation also Example of Finding a New Equation

5.5 Transforming Equations

Chapter 6: Mathematical Induction

6.1 Mathematical Induction

6.2 Induction for Matrices also Example Ex 6A Q9 also Vector Example

6.3 Induction for divisibility also Example 6B Q5 and 6

6.4 Induction for inequalities

Complex Numbers example MP6 Q9

 

A Level Further Maths - Pure

Chapter 9: Polar Co-ordinates

9.5 Polar Areas between two curves

Chapter 10: Differential Equations

10.1 Differential Equations - Terminology

10.2 Differential Equations - Integrating Factor

10.3 The Complementary Function to Second Order Linear Differential Equations

10.4 The Particular Integral to Second Order Linear Differential Equations

Chapter 11: Applications of Differential Equations

11.1 Real World Applications

11.2 Simple Harmonic Motion

11.3 Damped Oscillations Why is drag always positive??

11.4 Linear systems of Differential Equations

 

 

 

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© 2020 Neill S Cooper
@NeillCooper
Last changed on April 14 2020