DEPARTMENT

Mathematics.

A level Board/code

Edexcel: 9371 (Mathematics).

Edexcel: 9372 (Further Mathematics).

Edexcel: 9373 (Pure Mathematics).

What do we cover in the course?

Key syllabus elements

Pure Maths: Algebra, Coordinate Geometry, Series, Calculus, Trigonometry, Matrices, Vectors.

Mechanics: Statics, Kinematics.

Statistics: Analysis of Data, Distributions, Hypotheses.

How is it assessed?

Key assessment elements

Each A level consists of 6 unit examinations, (3 per year).

Each unit examination is 90 minutes.

Key skills required

Analytical & problem solving skills.

What entry requirements are there to study this course?

GCSE grade A for Mathematics.

GCSE grade A* for Further Mathematics

What is the course useful for?

Both A levels are an excellent foundation for university courses in: Science, Engineering, Economics and Business, as well as Mathematics, Actuarial Science and Statistics.

Any other information

Results 2016:

Mathematics: 100% Pass Rate, 63% A*/A grades.

Further Mathematics: 93% Pass Rate, 44% A*/A grades.


 

DEPARTMENT

Mathematics.

A level Board/code

AQA: 6381 (Statistics).

What do we cover in the course?

Key syllabus elements

Numerical Measures, Probability, Distributions, Correlation and Regression, Confidence Intervals, Hypothesis Tests, Analysis of Variance.

How is it assessed?

Key assessment elements 

90 minute written examinations for each of six modules.

Key skills required

Manipulation of numerical and algebraic data and application of formulae and statistical tables.What entry requirements are there to study this course?Grade A (GCSE).

What is the course useful for? 

Many degree courses and employment requiring a facility in the application of statistics.

Any other information

Results 2014:

82% Pass Rate, 55% Grade A*/C, 36% Grade A*/A.

 


 

AS and A LEVEL MATHEMATICS and STATISTICS COURSES

Summary of Courses

 One year AS level courses in Pure Maths, Further Maths or Statistics

  • Two year or 18 month A level courses in Maths, Pure Maths, Further Maths or Statistics
  • CTC offers courses in 15 Edexcel Units and 6 AQA units.
  • Students complete 3 units for an AS level award and 6 units for an A level award.
  • Maths and Further Maths is a more advanced course leading to two A levels.

 

EDEXCEL Exam Board

                                                                        Year 1                         Year 2

 AS level Pure Maths            (3 units)          C1 C2 C3                    ———

A Level Maths                      (6 units)          C1 C2 C3                    Three options

C4 M1 M2

C4 M1 S1

C4 S1 S2

A level Pure Maths              (6 units)          C1 C2 C3                    C4 FP1 FP2

AS level  Further Maths      (3 units)          M1 M2 FP1                ———-

A level Maths & Further Maths     (12 units)                     C1 C2 C3 M1 M2 FP1

Three options

C4 FP2 FP3 M3 M4 M5

C4 FP2 FP3 S1 S2 S3

C4 FP2 FP3 M3 S1 S2

AQA Exam Board

                                                                        Year 1                         Year 2

 AS level Statistics     (3 units)                      S1 S2 S3                      ——–

A level Statistics       (6 units)                      S1 S2 S3                      S4 S5 S6

All the above A level courses are also available as 18-month courses.

INITIAL REQUIREMENTS:                                GCSE (Higher Level)

AS or A level Mathematics and Statistics:            Grade A

AS or A level Further Mathematics:                      Grade A*

 

EDEXCEL Units

C1 Core Pure Mathematics 1                                  FP1 Further Pure Mathematics 1

C2 Core Pure Mathematics 2                                  FP2 Further Pure Mathematics 2

C3 Core Pure Mathematics 3                                  FP3 Further Pure Mathematics 3

C4 Core Pure Mathematics 4

M1 Mechanics 1                                            S1 Statistics 1

M2 Mechanics 2                                            S2 Statistics 2

M3 Mechanics 3                                            S3 Statistics 3

M4 Mechanics 4

M5 Mechanics 5

Summary of unit content

Pure Maths

C1 Algebra and Functions: Indices, Surds and Quadratics, Coordinate Geometry of points and lines, Arithmetic Series, Basic Differentiation and Integration.
C2 Factor and Remainder Theorems, Coordinate Geometry of circles, Geometric Series and Binomial Expansion, Trigonometric Equations, Logarithms, Calculus and Applications.
C3 Functions and Sets, Composite and Inverse Functions, Trigonometric Functions and Identities, Exponentials and Logarithms, Further Differentiation, Numerical methods.
C4 Partial Fractions, Parametric Equations, Binomial Series. Implicit Differentiation, Further Integration, Vectors.
FP1 Complex Numbers, Numerical Solutions of Equations, Coordinate Geometry of Parabola and Hyperbola, Matrix Algebra, Series of Natural Numbers, Proof by Induction.
FP2 Inequalities, Series; Method of Differences, Further Complex Numbers, First and Second Order Differential Equations, Polar Coordinates, Maclaurin and Taylor series.
FP3 Hyperbolic Functions and Calculus , Coordinate Geometry of Ellipse and Hyperbola, Further Integration: Reduction Formulae, Arc Length, Surface Area, Further Vectors and Matrix Algebra.

Mechanics

M1 Mathematical Models and Vectors in Mechanics, Kinematics and Dynamics of a particle moving in a straight line or plane, Statics of a particle, Moments.
M2 Projectiles, Centres of Mass and Equilibrium of a plane lamina, Work, Energy and Power, Collisions, Statics of rigid bodies.
M3 Acceleration as a function of time or displacement, Elastic strings and springs, Simple Harmonic Motion, Motion in a circle, Further Centres of Mass and tilting problems.
M4 Relative motion, Elastic Collisions in two dimensions, Further motion of particles in one dimension with resistance, Damped and Forced Harmonic Oscillations, Stability.
M5 Further applications of Vectors in Mechanics, Motion of a particle with varying mass, Moments of Inertia of a rigid body, Rotation of a rigid body about a fixed smooth axis.

 Statistics

S1 Mathematical Models, Data Representation and Summary, Probability, Correlation and Regression, Discrete Random Variables, Uniform and Normal Distributions.
S2 The Binomial, Poisson and Rectangular Distributions, Continuous Random Variables, Distributional approximations, Samples and Populations, Hypothesis Tests.
S3 Combinations of Random Variables, Sampling, Estimation and Confidence Intervals, Further Hypothesis Tests, Goodness of Fit, Contingency Tables, Further Correlation.

AQA Units

S1 Statistics 1

S2 Statistics 2

S3 Statistics 3

S4 Statistics 4

S5 Statistics 5

S6 Statistics 6

Summary of unit content

 Statistics

S1 Probability, Numerical Measures, Binomial and Normal Distributions, Confidence Intervals for Mean, Correlation and Regression.
S2 Time Series Analysis, Sampling, Discrete Probability Distributions, Poisson Distribution, Interpretation of Data, Hypothesis Tests for Mean.
S3 Contingency Tables, Distribution Free Methods: Sign, Wilcoxon, Mann-Whitney & Kruskal-Wallis Tests, Hypothesis Tests for Correlation & Rank Correlation.
S4 Combinations of Normal Variables, Distributional Approximations, Further confidence intervals, Further Hypothesis Tests for Means and Proportions.
S5 Continuous Probability Distributions, Confidence Intervals for Variance, One and Two sample hypothesis tests, Goodness of fit.
S6 Experimental Design, Analysis of paired comparisons, Analysis of Variance: one way, two way and Latin square, Statistical Process Control, Acceptance Sampling.