Taylor Series Lecture Notes

These are my notes from a lecture on Taylor series given as a boot camp to incoming bioengineering juniors given on August 17, 2016.

Applications covered

1. Paraxial approximation in optics
2. Estimation of error in numerical differentiation
   1. Higher order numerical difference formulas with lower error
3. Numerical integration and error in Euler’s method
4. Derivation of continuity equation.

Notes on Taylor Series from Boot Camp.pdf

Drop any other thoughts on important applications of taylor series in the comments section.