Year 1/AS
Pure
Algebra 1
Argument and proof
Index laws
Surds
Quadratic functions
Simultaneous equations
Lines and circles
Inequalities
Polynomials and the binomial theorem
Expanding and factorising
The binomial theorem
Algebraic division
Curve sketching
Trigonometry
Sine, cosine and tangent
The sine and cosine rules
Differentiation and integration
Differentiation from first principles
Differntiating axn and Leibniz notation
Rates of change
Tangents and normals
Turning points
Integration
Area under a curve
Exponentials and logarithms
The laws of logarithms
Exponential functions
Exponential processes
Curve fitting
Mechanics
Vectors
Definitions and properties
Components of a vector
Units and kinematics