This gives the dates of the major players in the development of classical mechanics, at least the ones mentioned in the course. Below some are the dates of notable publications. (Links are to wikipedia pages)
Ancients
Johannes Kepler (1571 - 1630)

Galileo Galilei (1564 - 1642)
Rene Descartes (1596 - 1650)
Christiaan Huygens (1629 - 1695)
Isaac Newton (1643 - 1727)
Daniel Bernoulli (1700 - 1782)
Leonhard Euler (1707 - 1783)
Louis Lagrange (1736 - 1813)
Gaspard de Coriolis (1792 - 1843)
William Rowan Hamilton (1805 - 1865)

Johann Dirichlet (1805 - 1859)
Henri Poincaré (1854 - 1912)
Emmy Noether (1882 - 1935)
For interesting essays on the early contributors, see the Stanford Encyclopaedia of Philosophy