MATHS HL – CALCULUS

Calculus

1. Differentiation

(a) Limit, Continuity and First Principle

(b) Rules of Differentiation

• Product and Quotient Rule

• Chain Rule and Breaking Shell’s Method

• Second and Higher Derivatives

(c) Implicit differentiation

(d) Applications of Differentiation

• Gradient, Graphical behavior, Maximum Point(s), Minimum Point(s) , Point(s) of Inflexion and Tests for those Points

• Tangents and Normals

• Rate of change and Optimization problems

2.Integration

(a) Indefinite Integration

• • Integration by Inspection or Substitution

  • Integration by Parts

(b) Definite Integration

• • • Definite Integral and Finding the Constant term

    • Area under curves and Area between curves

    • Volumes of revolution about the x-axis or y-axis

(c) Kinematics problems with Displacement, Velocity and Acceleration

(d) Harder problems involving Calculus