- Motivation and knowledge
- Content - Some jargon
- Content - Polynomial function gallery
- Content - Solving polynomial equations
- Content - Behaviour of polynomials at infinity
- Content - Stationary points
- Content - Sketching polynomial functions
- Content - Polynomials from graphs
- Links forward - Approximating functions
- Links forward - Sums and products of roots
- Links forward - Solving cubics
- Links forward - Insolubility of quintics
- Appendix - Lagrange Interpolation Formula
- Appendix - Rational root test
- Appendix - Fundamental theorem of algebra
- History and applications
- Answers to exercises
- References