Disclaimer: Although my question is targeted toward the UK, I do not wish to exclude comparison with other countries e.g. Germany or Canada. Please, if you have studied maths at universities in another country, your experience is of value and interest. Here in the United States, the usual undergraduate study is 4 years. Currently, that has grown to 5 or sometimes 6 years. As a math major (= reading maths), all fours years are used in their preparation of their Math degree. Compared to the UK e.g. Cambridge, there they only spend 3 years with an optional 4th year. What are the differences? What is the typical UK math student's academic schedule throughout their 3 years at university? In the USA, the typical undergrad math student follows this schedule: freshman year (1st) term 1 Calculus 1A-differential and integral calculus term 2 Calculus 1B-integral techniques, series sophomore year (2nd) term 1 Calculus 1C-multivariable calculus term 2 Diff Eq/Lin Alg-Differential Equations (ODEs) and Linear Algebra junior year (3rd) term 1 Linear Algebra Abstract (Modern) Algebra term 2 Real Analysis Abstract Algebra 2/Galois Theory or Set Theory senior year (4th) term 1 Complex Analysis some geometry such as Topology or Differential Geometry term 2 PDEs, Cryptography, math thesis, or taking some graduate level course If they were Applied Math majors, then they may do Stats or Probability instead of Set Theory or Galois Theory.