Proof by Induction — How do you prove something by induction?; Proof by mathematical induction; The four steps; What can be proved; Example structure (summation); Divisibility technique
Series and the Method of Differences — Standard summation formulas; Using the formulas; The method of differences; Maclaurin series (if in your spec)
Roots of Polynomials — What are the relationships between the roots and coefficients of a polynomial?; Relationships between roots and coefficients; Quadratic: ax² + bx + c = 0; Cubic: ax³ + bx² + cx + d = 0; Quartic: ax⁴ + bx³ + cx² + dx + e = 0; Useful derived results