In this lecture, we explore how to compute Taylor polynomials—an essential tool for approximating functions in calculus. You’ll learn how to construct polynomial approximations centred at a point and understand how they are used to estimate function values.
A range of worked examples is presented and solved step by step, helping to build both understanding and confidence in applying these techniques. These ideas are widely used in university-level mathematics and have important applications in science and engineering.
Topics covered:
Taylor polynomials and their definition
Constructing approximations about a point
Using derivatives to build polynomials
Applications to function approximation
Step-by-step worked examples
Who this is for:
Students studying university mathematics, engineering, or anyone learning calculus and approximation methods.
