A-Level Mathematics
About This Programme
Course Info
| Course Code | X901W |
| Duration | Between 8–24 months (Fast Track available) |
| Study Hours | 300 in total |
| Difficulty | Level 3. Normally studied by ages over 16. |
| UCAS Point | Up to 56 |
| Syllabus Code | 7357 |
| Units | 9 Units |
Awarding Body: AQA
UCAS
What you will learn
Unit 1: Pure mathematics 1
- Proof, proof by deduction, proof by exhaustion, & disproof
- Surds & rationalising the denominator
- Solving & graphing quadratic equations
- Graph transformations
- Simultaneous equations
- Inequalities
- Polynomials & the Factor Theorem
- Coordinate geometry, including straight line equations & intersection
- Circle theorems
Unit 2: Pure mathematics 2
- Differentiation & integration
- Binomial expansion & approximations
- Trigonometry (sin, cosine & trig identities)
- Proving & solving trigonometry identities
- Exponentials & logarithms
- Laws of logarithms
Unit 3: Mechanics 1
- Vectors
- Kinematics, motion graphs & non-uniform acceleration
- Constant acceleration & SUVAT equations
- Forces & Newton’s laws
Unit 4: Statistics 1
- Population & sampling
- Representing qualitative & quantitative data
- Measure of location
- Dispersion
- Correlation & regression
- Elemental probability
- Solving probability problems
- Laws of Probability
- Probability distributions
- Statistical distribution
- Binomial distributions, including binomial coefficients, probability function, & cumulative distribution function
- Hypothesis tests
Unit 5: Pure mathematics 3
- Proof by contradiction
- Simplifying expressions
- Division of polynomials
- Mapping & functions
- Composite & inverse functions
- The modulus
- Solving modulus equations & inequalities
- Graph transformations
- Partial & repeated fractions
- Arcs, sectors, & small angle approximations
- Inverse trig functions
- Cosec, Sec & Cot
- Addition & double angle formulas
- Binomial expansions as approximations
- Binomial expansions & partial fractions
- Series & sequences
Unit 6: Pure mathematics 4
- Points of inflection, convex, & concave curves
- Trigonometric identities & equations
- Rules of differentiation, including the product rule, the quotient rule, & implicit differentiation
- Rules of integration
- Differential equations
- Integrating complex functions
- Integration by substitution
- Integration by parts
- Integration of partial fractions
- Parametric integration & differentiation
- Parametric & cartesian equations
- Numerical methods
- Vectors & 3D vectors
Unit 7: Mechanics 2
- Kinematics & projectile motion
- Dynamics
- Resultant forces, friction, & equilibrium
- Newton’s Laws of Motion
- Moments
Unit 8: Statistics 2
- Correlation & regression
- The Product Moment Correlation Coefficient
- Probability
- The Normal Distribution
- Normal approximation to a binomial distribution
- Hypothesis testing
Unit 9: Preparing for the examinations
- Paper 1
- Paper 2
- Paper 3
Outcome
Progression Routes
An A-level Maths course is the key to many, many professions and is part of a trinity of courses (Maths, Chemistry and Biology) that is often mooted to allow access to most careers. Mathematics demonstrates a significant ability to think logically and in critical thinking, so it is highly desirable to employers.
Students go on to careers in medicine, Engineering, Data Science, Veterinary Science, Accountancy, Chemical Engineering, Actuarial science, Meteorology, and Teaching.
Take your skills one step further by taking a broader look at mathematical principles with our A-level Further Maths course.
Examinations and Assessments
Assignments
You will complete various assignments during your A-level Maths course. These do not contribute to your final grade but allow you to submit work to your tutor for marking and feedback. This will help you monitor your progress and will be used to produce predicted grades if needed.
Official Exams
Mock Exam Papers
Entry Requirements
Student Testimonials
I had General English class and IELTS class, and I think both classes were really helpful. In general English, I could say more fluently, it means that I learned many useful expressions and phrases. In IELTS class, I realised which subject I should study. So now I know more vocabs than before. Also, the teachers are really kind and funny.
I'm really satisfied with my class at GLC because the teachers are so nice, and I enjoy the lessons. Before coming here, I had never learned English from a native teacher, and I found that it makes a big difference. In my first class, I could hardly understand a few sentences. But now, I'm able to understand almost everything.
I studied English courses at GLC for 11 months, during which I made significant improvements in grammar, speaking, and listening. In the past, I was always afraid to speak with others in English, but through systematic learning and continuous practice, I am now able to confidently have fluent conversations with locals.
The teachers at GLC are very patient. They not only adjust the course content according to my learning progress but also encourage me to speak more and practice often, which has filled me with motivation and confidence throughout the learning process. It has really improved my English and made me braver in using it!
