A-level Mathematics 

A-level Mathematics


AQA A-Level Mathematics is a course designed to give students a thorough understanding of mathematical concepts and techniques. As of my last training cut-off in September 2021, the course is divided into two main parts: Pure Mathematics and Applied Mathematics (Statistics and Mechanics).

**1. Pure Mathematics:** This portion of the course typically forms the majority of the curriculum. It involves the study of core mathematical principles and includes the following topics:

- **Algebra and Functions:** Expanding on knowledge gained at GCSE level, students explore complex numbers, series, algebraic fractions, functions, and transformations.

- **Coordinate Geometry:** This involves the study of lines, curves, and geometric shapes in a coordinate system.

- **Sequences and Series:** Students learn about different types of sequences and series, including arithmetic and geometric sequences, binomial expansion, and the concept of convergence.

- **Calculus:** This involves the study of differentiation and integration, which are fundamental concepts in mathematics with applications in various fields including physics, engineering, economics, statistics, and computer science.

- **Trigonometry:** This topic covers the detailed study of triangles and the relationships between their sides and angles, including trigonometric identities and equations.

- **Exponentials and Logarithms:** This involves the study of exponential and logarithmic functions, and their applications.

- **Vectors:** Students learn about the mathematical representation of quantities that have both magnitude and direction, with applications in physics and engineering.

- **Numerical Methods:** Students explore methods for finding numerical approximations to the solutions of equations.

**2. Applied Mathematics:**

- **Statistics:** This section introduces students to statistical sampling, data presentation and interpretation, probability, statistical distributions, and statistical hypothesis testing. 

- **Mechanics:** Mechanics is the study of motion and forces. Students learn about quantities and units in mechanics, kinematics (the study of motion), forces and Newton's laws, and moments (which involve force and distance).

The AQA A-Level Mathematics course aims to not only increase students' knowledge of mathematics but also to develop problem-solving skills, logical reasoning, and the ability to construct and communicate rigorous arguments.

How is it assessed: 

Each of these papers is typically two hours long, and they all contribute equally to the final A-Level grade. The exams generally consist of a mix of question styles, from short, single-mark questions to longer, extended response questions.

These assessments are designed to test a student's understanding of mathematical concepts and their ability to apply this knowledge to solve problems and model real-world scenarios.