Part III of the Mathematical Tripos (officially Master of Mathematics/Master of Advanced Study) is a one-year Masters-level taught course in mathematics offered at the Faculty of Mathematics, University of Cambridge. It is regarded as one of the hardest and most intensive mathematics courses in the world and is taken by approximately 260 students each year. Roughly one third of the students take the course as a fourth year of mathematical study at Cambridge after Parts IA, IB, and II of the Mathematical Tripos, whilst the remaining two thirds take the course as a one-year course. History The Smith's Prize Examination was founded by bequest of Robert Smith upon his death in 1768 to encourage the study of more advanced mathematics than that found in the undergraduate course. T. W. Körner notes In 1883 this was replaced by an exam called Part III and the Smith's Prize awarded for an essay rather than examination. In 1886 this exam was renamed Part II, and later in 1909 Part II, Schedule B. In 1934 it was again renamed Part III. In the 1980s the Certificate of Advanced Study in Mathematics was introduced; for those students successfully completing Part III of the Mathematical Tripos in Easter Term 2011 CASM was replaced by two new degrees, the Master of Mathematics (M.Math.) and Master of Advanced Study (M.A.St.). All who have passed the course since 1962 are entitled to these new degrees. The first retrospective M.Math and M.A.St. degrees were conferred as part of a celebration of the University's 800th anniversary. The course is often still referred to as Part III. Master of Mathematics vs Master of Advanced Study Students who have completed their undergraduate degree at Cambridge will be awarded both a Bachelor of Arts (B.A.) and the Master of Mathematics (M.Math.) degree for four years of study, provided they have not previously graduated with a B.A. This allows Cambridge graduates to remain eligible for government funding for the course. Progression from Part II of the Mathematical Tripos to Part III normally requires either a first in Part II or very good performances in Parts IB and Part II. Students who complete Part III of the Mathematical Tripos, but did not complete undergraduate studies at Cambridge (or have previously graduated with a B.A.) will be awarded the Master of Advanced Study (M.A.St.) in Mathematics degree for the one-year course. The program previously resulted in a