Numerical Methods: Bisection, Newton-Raphson, Fixed-Point & Numerical Integration Accuracy
Error bounds, Newton with numerical derivatives, the secant method, convergence and divergence, IRR and bond yields as roots, trapezoid vs Simpson error rates and floating-point limits, all on business and engineering cases.
The first lesson is free — no account needed.
About this course
A numerical methods course that solves business and engineering equations step by step in a spreadsheet, for engineering, maths and finance students and analysts who want to know what Goal Seek, RATE and IRR do inside. You bracket a break-even volume with bisection and predict the steps from the error bound, solve for the rate inside an equipment lease with Newton-Raphson and a central-difference derivative, find a bond yield with the secant method, resolve a circular interest calculation by fixed-point iteration and watch one rearrangement diverge, compare convergence speed on a log-error chart, treat IRR as the root of NPV and match Excel's IRR, measure the order of accuracy of the trapezoid rule and Simpson's rule, and see where floating point puts a floor under any tolerance. The first lab is free.
Lessons
- Bisection with Error Bounds: Guaranteed Accuracy for a Break-EvenFree
- Newton-Raphson with a Numerical Derivative: the Rate Inside a Lease Pro
- The Secant Method: Bond Yield Without a Derivative Pro
- Fixed-Point Iteration: Circular Interest, Convergence and Divergence Pro
- Comparing Convergence Speed: Bisection, Newton, Secant & Fixed Point Pro
- IRR as the Root of NPV: Newton vs Excel's IRR Pro
- Trapezoid vs Simpson: Error vs Step Size and the Observed Order Pro
- Stopping Criteria and Floating-Point Limits Pro