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MATHEMATICS and FURTHER MATHEMATICS

Title/Name Course Title/Exam Board, Syllabus details Mathematics and Further Mathematics
Examination Board: AQA
Mathematics AS Code: 5361 A2 Code: 6361
Further Maths AS code: 5371 A2 Code: 6371
What will I learn?

What will I gain from doing this course

Aims/Objectives

What will I do

The skills developed by studying mathematics in the sixth form are highly valued by employees and universities across a wide range of careers from medicine and law to engineering and management, for it helps the development of powers of analysis and strong problem solving skills.

Some of the aims of the specification are to encourage students to:

  • develop their understanding of mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment;
  • extend their range of mathematical skills and techniques and use them in more difficult unstructured problems;
  • use mathematics as an effective means of communication;
  • take increasing responsibility for their own learning and the evaluation of their own mathematical development.
What are the entry requirements What is the minimum skills or qualification level the learner needs to start this course Grade B at GCSE
How will I be assessed Method of Assessment (exam, coursework etc.)

Course Content

Style of Teaching and Learning

Three exams, each of 1.5 hours duration, at AS and three for A2

Summary of subject content: Mathematics AS

CORE 1 Surds, Quadratics, Simultaneous Equations, Factor Theorem, Graph Sketching and Transformations, Coordinate Geometry – lines and circles
Calculus: Differentiation and Integration of polynomials
CORE 2 Algebra and Functions, Sequences and Series, Binomial Theorem, Trigonometry, Exponentials and Logarithms, Further Differentiation and Further Integration
STATISTICS 1 Numerical Measures (Standard deviation, linear scaling), Probability,
Binomial Distribution, Normal Distribution, confidence intervals, Correlation and Regression
MECHANICS Mathematical Modelling, Kinematics in One and two dimensions, Statics and Forces, Momentum, Newton’s Laws of Motion, Connected Particles and Projectiles


Summary of subject content: Mathematics A2

CORE 3 Composite functions, modulus function, Trigonometry, Natural Logarithms, Differentiation using chain, product and quotient rules, Integration by substitution and parts, Numerical Methods for solving equations
CORE 4 Partial fractions, parametric equations of curves, Binomial series, Trigonometry, Exponential growth and decay, differential equations, Vectors
STATISTICS 2 Discrete and Continuous Random Variables, Poisson Distribution, Confidence intervals, Hypothesis Testing, Contingency Table Tests
MECHANICS 2 Moments and Centre of Mass, Kinematics, Application of Differential Equations, Circular Motion, Work and Energy

Within the mathematics A level students will cover the four Core Mathematics modules and two applied modules. Within the Further Mathematics AS students will study the other applied modules and a Further Pure module.

FURTHER PURE 1 Graphs of rational functions, Complex Numbers, Roots and coefficients of a quadratic equation, Series, Evaluation of simple improper integrals.
Numerical Methods, General solutions of trigonometric equations, Matrices and Transformations

Summary of subject content: Further Mathematics A2

FURTHER PURE 2 Roots of Polynomials, Complex Numbers, De Moivre’s Theorem, Proof by Induction, Finite Series, The calculus of inverse trigonometrical functions,
Hyperbolic Functions, Arc length and Area of surface of revolution
FURTHER PURE 3 Maclaurin series, Improper integrals, Polar Coordinates, Solving differential Equations – First and second Order and using Euler’s formula
FURTHER PURE 4 Vectors and Three–Dimensional Coordinate Geometry, Matrix Algebra,
Solution of Linear Equations, Determinants, Linear Independence

Most activities will be classroom based where students will work on solving increasingly complex problems.
Independent study will be required outside of the classroom.

What are the costs What equipment will I need (if appropriate)

Any other costs
Calculator
Is there anything else I need to know Where will I study

What support will I receive

Where can I get further information

 

Future Opportunities Progression to further education, study or work Mathematics complements a wide variety of other A level courses and in addition, Mathematics A level provides an understanding of the mathematical tools and techniques that are an integral part of many degree courses.

 

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