MATHS SL – CALCULUS

Calculus

1. Differentiation

(a) Rules of Differentiation

• Product and Quotient Rule

• Chain Rule and Breaking Shell’s Method

• Second and Higher Derivatives

(b)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 and Integration by Inspection or Substitution

(b) Definite Integration

• Definite Integral and Finding the Constant term

• Area under curves and Area between curves

• Volumes of revolution about the x-axis

3. Kinematics problems with Displacement, Velocity and Acceleration

4. Harder problems involving Calculus