| What | Further Maths Unit 4 Professional Learning (Further Pure) |
| Who | KS5 teachers |
| When | October 2024- July 2025 |
| How | Hybrid- Primarily online, with live sessions held to cover the more complicated topics in South and North Wales |
| To book | fmspwales@swansea.ac.uk |
More information
This course will give a comprehensive coverage of FMU4 and is aimed at teachers who currently deliver AS-level Further Maths and would like to deliver A-level Further Maths, or teachers who currently teach FMU4 and would like a refresher.
Course Structure: 6 Sessions. This course will be spread over the whole academic year.
| Session 1 Power Series and Trigonometry Oct 2024 | Maclaurin Series General solution of trigonometric equations Factor formulae Use of t=tan½x substitution Inverse Trigonometric Functions |
| Session 2 Complex Numbers Nov-Dec 2024 | De Moivre’s Theorem Applications to powers and roots of complex numbers Applications to Trigonometry Geometry of Complex Numbers |
| Session 3 Hyperbolic Functions Jan – Feb 2025 | Introducing the hyperbolic functions The inverse hyperbolic functions The calculus of hyperbolic and inverse hyperbolic functions The catenary curve |
| Session 4 Integration Mar-Apr 2025 | Partial Fractions improper Integrals Further Integration Methods Applications of Integration |
| Session 5 Matrices and Simultaneous Equations Polar Co-ordinates May-June 2025 | Determinant and Inverse of a 3×3 Matrix Solution of three simultaneous equations in three unknowns. Polar co=ordinates and Polar curves Use of calculus to investigate polar curves |
| Session 6 Differential Equations June-July 2025 | Exact differential equations and use of Integrating factor. Solution of Second order linear differential equations Applications of differential equations |
Each module will consist of two online, weekday early evening, zoom sessions, separated by 7-14 days. In these sessions, the tutor will consider the major concepts of the topic. Video recordings of these sessions will be made available so that participants who are not able to attend can view the session that was missed.
Sessions 2 and 6 will include the possibility of you attending a face-to-face session with a tutor. These sessions will be on a weekday and held in both South Wales (Swansea) and North Wales (Wrexham or Bangor). These sessions will take place before the two zoom sessions. They will not only cover the material of the two on-line zoom sessions but also give you the opportunity to meet a member of the tutor team and exchange ideas and experiences with some of your fellow participants.
A full resource pack of learning materials, including the materials used in the zoom and face-to-face sessions, will be made available and it is hoped that you will work through the resources and attempt some exercised provided. During this period of self-study, you will have email access to your tutor.
Participants are expected to attend as many online sessions as possible.
Course Dates:
A face-to-face or online session will be held in each of the weeks indicated. Dates will be set as soon as possible.
| Face-to-Face | Online | ||
| Session 1 | Autumn Term Week 4 Autumn Term Week 6 | ||
| Session 2 | Autumn Term Week 3 | Autumn Term Week 10 Autumn Term Week 12 | |
| Session 3 | Spring Term Week 4 Spring Term Week 6 | ||
| Session 4 | Spring Term Week 9 Spring Term Week 10 | ||
| Session 5 | Summer Term Week 5 Summer Term Week 6 | ||
| Session 6 | Summer Term Week 8 | Summer Term Week 9 Summer Term Week 10 |
Sessions will be presented in English; materials will be available bilingually
This course will be certificated.
Each session has a short assessment task which participants will be encouraged to complete and send to their tutor. Each task will contain two or three exam style questions for participants to answer. In addition, participants will be asked to reflect upon the knowledge students will need to tackle such questions and possible teaching approaches that might be used in the classroom. It is hoped that each task should require less than 90 minutes to complete.
Certification will be based on satisfactory completion of these tasks and evidence of attendance at the sessions or independent work through the resource material.
The deadline for certification will be August 2025.