Calculus

    AQA
    GCSE

    This topic extends the fundamental principles of differentiation and integration established in standard Mathematics to more complex functions and applications. It encompasses advanced techniques such as improper integrals, volumes of revolution, and the calculus of hyperbolic and inverse trigonometric functions. Students explore the power of infinite series through Maclaurin and Taylor expansions and apply calculus to solve first and second-order differential equations. Mastery of this topic is essential for modelling dynamic systems in physics, engineering, and economics.

    2
    Objectives
    0
    Exam Tips
    0
    Pitfalls
    6
    Key Terms
    0
    Mark Points

    Learning Objectives

    What you need to know and understand

    • Know that dy/dx gives the gradient; differentiation of kx^n; equation of a tangent and normal
    • Increasing and decreasing functions; d^2y/dx^2; find maxima and minima points; sketch/interpret curves

    Key Terminology

    Essential terms to know

    Ready to test yourself?

    Practice questions tailored to this topic