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BSc Mathematics for the Modern World with a Foundation Year

Cardiff University

About this course

BSc in Mathematics for the Modern World with a Foundation Year, a mathematics degree focusing on modern applications and computational techniques. Core topics include Data Analysis, Statistics, Mathematical Modelling, Entrepreneurship, and Artificial Intelligence & Machine Learning. This four-year full-time programme begins with a compulsory foundation year, followed by progression into degree-level study. The first year covers foundational principles through Introduction to Algebra, Introduction to Calculus, and Statistics and Data. The second year introduces core methods via Linear Algebra and Multivariable Calculus, Probability Theory and Stochastic Simulation, and Operational Research. Optional modules allow students to explore advanced areas such as Big Data Technologies, Fluid Dynamics, and Stochastic Processes for Finance and Insurance, with final-year options spanning diverse mathematical applications.

Written by AI from the university's course page and module list. It can get details wrong, so check the official course page before you rely on it.

Institution
Cardiff University
Level
undergraduate
Subject
Mathematics
Duration
4 years
UCAS code
G303
Typical offer
A-level AAB
Median salary
£36,500 after 5 years

Entry requirements

A level: AAB

See the highest paying Mathematics degrees in the UK →

What students say

Based on about 78 final-year students who answered, across similar courses at this university

  • Teaching on my course: 80%
  • Learning opportunities: 81%
  • Assessment and feedback: 76%
  • Academic support: 87%
  • Organisation and management: 82%
  • Learning resources: 89%
  • Student voice: 71%

Do students stay on the course?

Based on about 250 students who started, across similar courses at this university

  • Continued on course: 92%
  • Left higher education: 4%
  • Moved to a lower qualification: 4%

What graduates do next

Based on about 34 graduates who answered, across similar courses at this university

  • Working: 75%
  • Working and studying: 7%
  • Further study: 8%
  • Unemployed: 5%

Most common jobs

  • Finance Professionals: 20%
  • Business and public service associate professionals: 20%
  • Administrative occupations: 10%
  • Business, Research and Administrative Professionals: 10%
  • Engineering professionals: 5%
  • Find their work meaningful: 80%
  • Feel on track for their future plans: 70%
  • Use what they learnt on the course: 55%

Where graduates work (5 years on)

Based on about 160 graduates, across similar courses at this university

  • North West: 4%
  • Yorkshire and the Humber: 1%
  • West Midlands: 8%
  • East of England: 5%
  • London: 13%
  • South East: 12%
  • South West: 16%
  • Wales: 41%

Who gets in

Based on about 240 students who started, across similar courses at this university

  • A levels: 98%
  • Other HE qualification: 1%

Modules

  • Introduction to Mechanics
  • Introduction to Algebra
  • Introduction to Trigonometry
  • Introduction to Calculus
  • Statistics and Data
  • Mathematical Investigations, Skills, and Culture
  • Computing for Mathematics
  • Foundations of Mathematics I
  • Foundations of Mathematics II
  • Linear and Differential Equations
  • Probability and Statistics
  • Mathematical Creativity, Communication and Exploration
  • Linear Algebra and Multivariable Calculus
  • Probability Theory and Stochastic Simulation
  • Operational Research
  • Modern Mathematical Computing
  • Entrepreneurship
  • Abstract Algebra
  • Mechanics
  • Mathematics for Global Impact
  • Big Data Technologies
  • Mathematics of AI and Deep Learning
  • Developing Mathematics Teachers for Future Generations
  • Student Driven Topics in Mathematics
  • Algebraic Topology
  • Differential Geometry of Curves and Surfaces
  • Introduction to Number Theory 2
  • Algebra II: Rings
  • Algebra III: Fields
  • Complex Analysis and Functional Series
  • Knot Theory
  • Methods of Applied Mathematics
  • Fluid Dynamics
  • Solid Mechanics
  • Stochastic Processes for Finance and Insurance
  • Statistical Modelling
  • Time Series
  • Algorithms and Heuristics
  • Optimisation
  • Game Theory

Questions about this course

How much do graduates of BSc Mathematics for the Modern World with a Foundation Year at Cardiff University earn?

The median salary is £31,000 after 15 months, £27,500 after 3 years, £36,500 after 5 years. After five years the middle half of graduates earn between £29,000 and £47,000. The £36,500 median after five years is £3,000 less than the UK median for Mathematics.

What do graduates of BSc Mathematics for the Modern World with a Foundation Year at Cardiff University do next?

90% were in work or further study 15 months after finishing (Graduate Outcomes 2023-24).

Are students happy with the teaching on BSc Mathematics for the Modern World with a Foundation Year at Cardiff University?

80% of final-year students were positive about the teaching in the National Student Survey 2025-26.

What grades do I need for BSc Mathematics for the Modern World with a Foundation Year at Cardiff University?

The typical offer is AAB at A level. The average entrant had 139 UCAS points.

How many students continue on BSc Mathematics for the Modern World with a Foundation Year at Cardiff University?

92% of students continued into their second year, and 4% left higher education.