| 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. |
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