Post-Secondary education

A level mathematics [youtube]

Algebra

• Argument and proof
• Index laws
• Surds
• Quadratic functions
• Lines and circles

Differentiation and integration

• Rates of change
• Turning points
• Area under a curve
• Integration
• Differentiation

Exponentials and logarithms

• The laws of logarithms
• Exponential functions
• Exponential processes
• Curve fitting

Collecting,representing and interpreting data

• Sampling
• Single-variable data
• Standard deviation
• Bivariate data

Vectors

• Definitions and properties
• Components of a vector

Polynomials and the binomial theorem

• Expanding and factorising
• The binomial theorem
• Algebraic division
• Curve sketching