# Mathematics and Further Mathematics A Level at St Leonard's Roman Catholic Voluntary Aided Comprehensive School

## Course description

Mathematics is appropriate for all students with a proven mathematical ability. Those students who intend pursuing careers involving science, technology, engineering, humanities, commerce and business are advised to study up to full ALevel. Other students should consider the Advanced Subsidiary (AS) qualification in Mathematics as part of a broader curriculum in Year 12. Students showing a particular mathematical flair and those intending to proceed with Mathematics at a higher level should consider taking this subject.

Further Mathematics. As a second qualification at either AS or full A Level. Universities favour applicants who study Mathematics if they have A2 Further Mathematics.

## Course content

THE AS COURSE

Mathematics

Module C1: Algebra, Coordinate Geometry, Differentiation and Integration.

ModuleC2: Algebra and Functions, Sequences and Series, Trigonometry, Transformations of graphs and Logarithms, Differentiation, Integration and Numerical Methods.

Module S1: Numerical Measures, Probability, Binomial Distribution, Normal Distribution, Estimation and Correlation and Regression.

Module D1: Algorithms, Graphs and Networks, Spanning Tree Problems, Matchings, Shortest Path in Networks, Route Inspection Problem, Travelling Salesman Problem, Linear Programming and Mathematical Modelling.

Further Mathematics

Module FP1:Algebra and Graphs, Complex Numbers, Roots and Coefficients of a Quadratic Equation, Series, Calculus, Numerical Methods, Trigonometry, Matrices and Transformations.

Module S2: Discrete Random Variables, Poisson Distribution, Continuous Random Variables, Estimation, Hypothesis Testing and Chi-Squared Contingency Tests.

Module D1: Algorithms, Graphs and Networks, Spanning Tree Problems, Matchings, Shortest Path in Networks, Route Inspection Problem, Travelling Salesman Problem, Linear Programming and Mathematical Modelling.

THE A2 COURSE

Mathematics

Module C3: Algebra and Functions, Trigonometry, Solving second order differential equations by use of an integrating factor, separation of variables complementary functions and particular integrals and numerical methods, Exponentials and Logarithms and their
graphs, Differentiation, First order Differential equations, Integration and Numerical Methods.

Module C4: Algebra and Functions, Coordinate Geometry in the (x,y) plane, Sequences and Series, Trigonometry, Exponentials and Logarithms, Differentiation, Integration and Vectors.

Module M1: Mathematical Modelling, Kinematics in One and Two dimensions, Statics and Forces, Momentum, Newton’s Laws of Motion, Connected Particles and Projectiles.

Further Maths

Module FP3: Series and Limits, Polar Co-ordinates, Differential Equations, Differential Equations – First Order and Differential Equations – Second Order.

Module FP4:Vectors and Three Dimensional Coordinate Geometry, Matrix Algebra, Solution of Linear Equations, Determinants and Linear Independence.

Module M2: Mathematical Modelling, Moments and Centres of Mass, Kinematics, Newton’s Laws of Motion, Application of Differential Equations, Uniform Circular Motion, Work and Energy and Vertical Circular Motion.

## Future opportunities

The university courses that require Mathematics A Level are myriad and legion: - Medical, Scientific, Engineering and Financial disciplines. Employers hold in high regard those with mathematically related qualifications and therefore a mastery of problem solving techniques and rational thought. Indeed, research has demonstrated that people with a mathematics related degree will go on to earn more than those without.

## How to apply

If you want to apply for this course, you will need to contact St Leonard's Roman Catholic Voluntary Aided Comprehensive School directly.