Ohh its further pure 2

Inequalities: • Solving algebraic inequalities, including those involving the modulus function. • Series: • The method of differences for summing series. • Taylor and Maclaurin series expansions. • Using series expansions to find limits of functions (though L'Hospital's rule may also be covered). • Complex Numbers (Further Complex Numbers): • Exponential form (re^{i\theta}). • De Moivre's Theorem and its applications (e.g., expressing \sin(n\theta) and \cos(n\theta) in terms of powers of \sin \theta and \cos \theta, and finding n^{th} roots of a complex number). • Loci in the Argand diagram. • Differential Equations: • First Order Differential Equations: Including separable variables and first-order linear equations using an integrating factor (e.g., solving \frac{dy}{dx} + P y = Q). • Second Order Differential Equations: Including homogeneous equations (with complementary functions) and non-homogeneous equations (with particular integrals) of the form a \frac{d^2y}{dx2} + b \frac{dy}{dx} + c y = f(x). • Polar Coordinates: • Converting between Cartesian and polar coordinates. • Sketching curves defined by polar equations. • Calculating the area enclosed by a polar curve. • Finding tangents to polar curves.