AS Level Mathematics Pure Maths 1

The AS Level Pure Maths 1 course helps students develop a set of transferable skills. These include working with mathematical information, as well as the ability to think logically and independently, consider accuracy, model situations mathematically, analyse results and reflect on findings. Students can apply these skills across a wide range of subjects and these skills equip them effectively for progression to higher education or directly into employment.

At AS Level, students can choose from three different routes: Pure Mathematics only, Pure Mathematics and Mechanics, or Pure Mathematics and Probability & Statistics.

Topics covered in this mathematics course

• Background Algebra
• Quadratics
• Inequalities
• Gradient, Distance and Midpoint
• Straight Lines
• Curves and Circles
• Intersecting Lines and Curves
• Arithmetic & Geometric Progressions
• Binomial Expansions
• Sequences and Series
• Introduction to Functions
• Composite and Inverse Functions
• Transforming Functions
• Differentiation
• Applications of Differentiation
• Tangents and Normals
• Stationary Points
• The Second Derivative
• Chain Rule
• Integration
• Applying Integration
• Area Between Functions
• Area Beside the y-axis
• Volume of Revolution
• Radians
• Circle Geometry
• Trig Identities
• Trig Equations
• Trig Equations in Radians
• Trigonometry