Further Mathematics A Level at Birkenhead Sixth Form College
Complex issues why is -1 an ‘imaginary’ and ‘complex’ number? Storm in a teacup? Learn how to use the Poisson distribution to see if the number of events such as hurricanes is actually higher than usual or within the bounds of expectation. One formula - learn how the Maclaurin series formula ties together sin x and x, x³, x , x ... A to Bees - find out how bees fly from flower to flower using the shortest distances.
You will study a mixture of new topics and topics covered in Year 1 in more depth including de Moivre’s theorem, eigenvectors, partial fractions, inverse trigonometry, arc length, lines and planes, differential equations, simple harmonic motion, damped oscillations, numerical methods, loci, the Simplex algorithm, group theory, probability density functions, distribution functions and Yates’ correction.
Learning is offered through lectures, discussion, interactive whiteboard activities, PC software (graphs, spreadsheets, mathematical word processing etc), texts, internet research, mechanics apparatus, videos, audio material. You will engage in class-based and independent learning, making use of our rich and diverse collection of reading, audio and video material. Our innovative online Maths tutorials are also provided to help with your revision.
You will apply Maths to the solution of problems involving aspects of moving and stationary objects such as skydivers, skiers and parked cars on steep hills. You will centre your learning on Newton’s famous laws of motion.
You will explore the topics in Mechanics 1 further and learn more about problems such as variable acceleration.
Further Pure 1
Within the Further Pure modules you will pick up from the core modules in AS and A2 Maths and focus more on algebraic equations. You will explore new ideas such as complex numbers, matrices, conic sections and hyperbolic functions.
You will re-visit the concepts met in the first Statistics module and develop these into workable and widely used models of real world behaviour. You will also examine and test more sophisticated models.
You will learn about Probability in more detail, explore Linear Combinations of Random Variables, as well as Distributional Approximations. Finally you will cover Estimation and Hypothesis Testing.
Further Pure 3
You will examine Series and Limits as well as Polar Coordinates. You will then explore Differential Equations in more depth.
Learning is offered through lectures, discussion, interactive whiteboard activities, PC software (graphs, spreadsheets, mathematical word processing etc), texts, internet research, mechanics apparatus, videos, audio material. You will engage in class-based and independent learning, making use of a rich and diverse collection of reading, audio and video material.
Innovative online Maths tutorials are also provided to help with your revision.
You must have achieved at least 5 GCSEs at grade 4/C or above, including at least a Grade 7 in GCSE Maths and at least a grade 6/B in two other subjects and be studying A Level Maths.
All assessment in the Further Maths A-Level is by written examination in all areas studied.
Further Mathematics provides the bedrock for getting to the heart of numbers, shapes, movement, data and relationships. Advanced Mathematics is used in many jobs and has clear and obvious associations with Physics, Chemistry, Biology, Economics, Business Studies, Geography and Computing. Perhaps less apparently it has strong links, both aesthetically and practically with Art, Design, Music, Psychology, Law, Sociology and Sports Studies. Further Mathematics is a very useful, adaptable qualification. A Mathematics degree can lead to a great variety of careers including weather forecasting, computer games programming, in accounting or finance, scientific research design and developments, statistics, environmental science, aircraft design or drugs trial analysis – the list is endless. Mathematics is also an essential basis for careers in engineering and architecture.
Check our website for the most up-to-date course details.
How to apply
If you want to apply for this course, you will need to contact Birkenhead Sixth Form College directly.