Links between mathematics and music have been known since the time of Pythagoras. From the vibration of a guitar string and the analysis of a rhythmic pattern, to the use of randomness in 20th century experimental music, mathematics continues to impact music at every level. This course provides a thorough grounding in mathematics, music, and the deep connections between them. Your time will be divided roughly equally between the School of Mathematics and the School of Music. The School of Music is home to internationally recognised scholars and composers, first class resources, and extensive facilities. It also has a very active performance life, with a free lunchtime concert series and formal collaborations with external organisations such as Opera North. The School of Mathematics has extensive research interests, allowing you the freedom to study modules across statistics, applied mathematics and pure mathematics.