Truncate the Maclaurin series for exp, sin, cos and ln at any number of terms and see the truncated value against the exact one, the absolute and relative error, every term of the running sum, and how many terms a chosen tolerance actually demands. MACLAURINTRUNCATIONSERIES

Greatest common divisor and lowest common multiple of two integers, with the Euclidean algorithm shown step by step and the gcd x lcm identity as a check.

Read a four-band resistor from its colours: two digits, a multiplier and a tolerance band, with the nearest E12 and E24 preferred values.

Ratio, speed and torque multipliers and centre distance for a spur gear pair, from tooth counts and pitch diameters.

ISO and North American paper sizes in millimetres, inches and points, plus a custom-unit converter.

Paste text, pick a page size, export a clean paginated PDF.

Join several PDFs in your chosen order, download one file.

Split every N pages or by custom ranges, download each part.

Delete, rotate and reorder pages, then download the result.