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Mathematics

University of Cambridge

Institution
University of Cambridge
Level
undergraduate
Subject
Mathematics
Duration
3-4 years
UCAS code
G100
Typical offer
A-level A*A*A, IB 41

Entry requirements

A level: A*A*A IB: 41-42 points, with 776 at Higher Level STEP: all Colleges usually require at least grade 1 in two STEP papers (STEP 2 and 3). Check the information below about STEP and the flexible offer scheme. . To apply to any of our Colleges for Mathematics, you will need A levels/IB Higher Levels (or the equivalent) in: Mathematics Further Mathematics (A level only – please see the information below about Further Mathematics A level) If you’re studying IB, we ask for Analysis and Approaches for this course. If this isn’t an option at your school, please contact the admissions office of your shortlisted College(s) for advice. Colleges usually require A* in Mathematics and/or Further Mathematics. Colleges may also require an A*/7 in Physics as part of your offer.

About this course

BA (Hons) and MMath in Mathematics, a mathematics degree spanning pure and applied mathematics, theoretical physics, and statistical methods. Core topics include Programming, Statistics, Mathematical Modelling, and Artificial Intelligence & Machine Learning. Students can choose a three-year BA honours degree or a four-year course leading to a Master of Mathematics MMath degree. The first year covers foundational content through the study of algebraic systems, such as groups, analysis, a rigorous study of functions and concepts from calculus, and probability. The second year progresses to geometry, topology, linear algebra, complex analysis, and statistics. The third year offers a broad range of advanced study options including coding and cryptography, algebraic topology, number theory, Galois theory, cosmology, general relativity, stochastic financial models, quantum information and computation, automata and formal languages, mathematical biology, and mathematics of machine learning.

Modules

  • Pure and Applied Mathematics, if you want to carry on with Mathematics after the first year
  • Mathematics with Physics, if you want to study Physics after the first year
  • the study of algebraic systems, such as groups
  • analysis, a rigorous study of functions and concepts from calculus
  • probability
  • mathematical methods, such as vector calculus
  • Newtonian dynamics and special relativity.
  • geometry, topology
  • electromagnetism, quantum mechanics, fluid dynamics
  • linear algebra, complex analysis
  • statistics, Markov chains and optimisation (a rigorous treatment of topics from decision mathematics)
  • coding and cryptography
  • algebraic topology
  • number theory
  • Galois theory
  • cosmology
  • general relativity
  • stochastic financial models
  • quantum information and computation
  • automata and formal languages
  • mathematical biology
  • mathematics of machine learning