Differential equations, proof by induction, Maclaurin series.

[STEP III 2013 Question 2 (Pure)]

Expansions of logarithmic, rational functions.

[STEP III 2012 Question 2 (Pure)]

Limits, exponential functions, recurrence formula of integrals.

[STEP III 2009 Question 8 (Pure)]

Recurrence relations, coefficients, partial fractions.

[STEP III 2008 Question 8 (Pure)]

Sum, sequences, infinite.

[STEP III 1989 Question 9 (Pure)]