Maths Support Programme Wales
| What | Further Maths Unit 1 Professional Learning (Further Pure) |
| Who | KS5 teachers |
| When | On Demand |
| How | On Demand |
| To book | rhgmc-mspw@swansea.ac.uk |
More information
This On Demand course will give a comprehensive coverage of FMU1 and is aimed at teachers who currently deliver A-level Maths and would like to deliver Further Maths, or teachers who currently teach Further Maths and would like a refresher.
Topics covered in this course will include:
Complex Numbers | Development of complex numbers, arithmetic and algebra of complex numbers. The argand diagram. Connection between transformations of 2D space and complex number arithmetic. Modulus and argument and their properties. Complex number proof of compound angle formulae. Loci in the argand diagram. Functions of a complex variable. |
Polynomials and Matrices | Roots of Polynomials. Informal appreciation of the fundamental theorem of algebra. Complex roots of a real polynomial appear in conjugate pairs. Properties of roots of polynomials. Introduction to arithmetic and algebra of matrices (particularly 2×2) an the use of 2×2 matrices to describe transformations. |
Matrices and Transformations | Formalising earlier work on 2×2 matrices and their use with linear transformations of two-dimensional space. Use of 3×3 matrices to describe non-linear transformations of two-dimensional space. Use of 3×3 matrices to describe linear transformations of three-dimensional space. |
Vectors | Vector equation of a line. The scalar product Vector equation of a plane. Use of vectors to calculate distances and angles in three-dimensional space. |
Proof and Series | Introducing proof by induction Using proof by induction in a wide range of examples The sum of the first n terms of a series using induction, properties of Σ notation and the difference method. |
This new On Demand approach is a flexible, online study option, that uses a variety of learning constructs such as tutor-led lecture videos and work pack resources to build up your skills and cement your understanding.
On Demand gives you the flexibility to study when and where you want; lunchtimes, free lessons or at home and at your own pace. There is no start or end date – that is in your hands and you can study in this manner over more than one academic year.
You will be enrolled to a monitored Microsoft Teams channel where fill instructions will guide you through the course at your own pace.
There is opportunity in the Teams channel to collaborate with others doing the course and a forum where you can discuss issues and pedagogy of the topics.
To encourage active participation in the course, a programme of certification is being introduced: certificates will be issued to participants who complete the course and demonstrate their understanding of the concepts and their teaching through a programme of short assignments at the end of each session. This is explained in the Teams channel.
We hope you enjoy the course and that it compliments and contributes to your personal development programme.
To join our On Demand course, please email rhgmc-mspw@swansea.ac.uk