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Explore the full course, official requirements and your progress through each skill.

Calculus

Differentiating functions

Using differentiation to investigate the nature and properties of functions

    • Stationary Points and Their Nature
  • TangentsOpen
    • Increasing and decreasing functions
    • Curve Sketching Using Calculus

Integrating functions

    • Basic integration
    • Integration of Bracket Powers
    • Trigonometric Integration
    • Differential equations

Using integration to calculate definite integrals

    • Definite integrals

Applying differential calculus

    • Optimisation
    • Greatest and least values on closed intervals
    • Rates of change

Applying integral calculus

    • Area Between a Curve and the Axis
    • Area Between Curves or a Line and a Curve
Reasoning across the course

These requirements develop through contextual skills rather than separate learning paths.

Interpreting a situation and identifying a strategy

Interpreting a situation where mathematics can be used and identifying a strategy, p9: analysing a situation and identifying an appropriate use of mathematical skills

Mapped through: Optimisation, Rates of change, Area Between a Curve and the Axis, Area Between Curves or a Line and a Curve.

Explaining a solution and relating it to context

Explaining a solution and, where appropriate, relating it to context, p9: explaining why a particular solution is appropriate in a given context

Mapped through: Optimisation, Rates of change, Area Between a Curve and the Axis, Area Between Curves or a Line and a Curve.

Source: Higher Mathematics course specification, May 2023 (version 3.0), Scottish Qualifications Authority. Confirmed current by Qualifications Scotland.