Trigonometric functions: addition, multiple angle and factor formulae.
Limits, continuity and differentiability. Differentiation by first principles and by rule for x n(integral and fractional n), sums, products, quotients, chain rule, trigonometric, logarithmic and exponential functions of a single variable. Parametric differentiation. Applications: equations of tangent and normal, kinematics, rates of change and stationary points. Integration: anti-derivatives and their applications to areas and volumes.
Limits, continuity and differentiability. Differentiation by first principles and by rule for x n(integral and fractional n), sums, products, quotients, chain rule, trigonometric, logarithmic and exponential functions of a single variable. Parametric differentiation. Applications: equations of tangent and normal, kinematics, rates of change and stationary points. Integration: anti-derivatives and their applications to areas and volumes.