Scotland · 1698-1746

Colin Maclaurin

Colin Maclaurin was mathematician and educator. He systematized Newtonian calculus and studied curves, series, and the figure of Earth.

Documented historical record

Biographical and historical reference works document Colin Maclaurin’s role and the mathematical work summarized on this page.

Historical eraRenaissance & Early Modern Era
Math subjects
Grade bands

3-5, 6-8, 9-12, College

Profession trails

The person and the work

Biography

Colin Maclaurin was mathematician and educator associated with Scotland. He systematized Newtonian calculus and studied curves, series, and the figure of Earth.

A Maclaurin series is a Taylor series centered at zero. Together, these contributions connect algebra and functions, geometry and measurement, and calculus and change to the working problems, tools, and questions of the period.

Mathematical contribution

What this hero added or preserved

Core mathematical work

He systematized Newtonian calculus and studied curves, series, and the figure of Earth.

Method, teaching, or application

A Maclaurin series is a Taylor series centered at zero.

Why this matters

The larger lesson

Colin Maclaurin shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that algebra and functions, geometry and measurement, and calculus and change can turn a difficult question into a method another person can inspect and reuse.

Place the work in time

Timeline

  1. 1698

    Life and working period

    Colin Maclaurin worked as mathematician and educator in Scotland.

  2. Legacy

    Lasting mathematical connection

    A Maclaurin series is a Taylor series centered at zero.

Key idea

An equation balances two descriptions

Colin Maclaurin’s work shows how symbols can represent an unknown quantity while preserving equality.

Example

In 2x + 9 = 31, subtracting 9 and dividing by 2 gives x = 11.

Try it yourself

Solve the equation

Solve 2x + 9 = 31.

  1. Subtract 9 from both sides.
  2. Divide both sides by 2.
  3. Substitute the result to check.
Show the answer

x = 11.

Math at work

Navigators and pilots use the same habits

Navigators and pilots use algebra and functions to plan, compare, test, or communicate decisions. Colin Maclaurin’s work provides a historical example of that connection.

Keep curiosity alive

A little-known fact

A Maclaurin series is a Taylor series centered at zero.

Common misconception

Colin Maclaurin matters because of only one famous formula or anecdote.

What the evidence supports

The documented record is broader: He systematized Newtonian calculus and studied curves, series, and the figure of Earth.

Keep exploring

Connected learning paths