Applied Mathematics

Applied Mathematics at the University of Cambridge offers an intensive and comprehensive program designed to equip students with a deep understanding of mathematical techniques and their practical applications across various scientific disciplines. This undergraduate degree, typically lasting three or four years depending on the route, combines rigorous mathematical theory with real-world problem solving, preparing graduates for careers in industries such as finance, engineering, technology, and research.

The curriculum covers a broad spectrum of topics, including differential equations, numerical analysis, mathematical modeling, computational methods, and data analysis. Students engage in both lectures and tutorials which foster collaborative learning and critical thinking. The program emphasizes applying mathematical principles to solve practical problems, often incorporating projects, computer simulations, and interdisciplinary studies.

Students benefit from access to state-of-the-art facilities, resources, and expert faculty members who are leading researchers in their fields. The university encourages active participation in research activities, seminars, and workshops, providing a vibrant academic environment. Additionally, Applied Mathematics students have opportunities to develop skills in programming languages such as Python, MATLAB, and R, which are crucial for data analysis and computational modeling.

The program also places a strong emphasis on mathematical communication, teamwork, and independent study, making graduates well-prepared for either further academic study or diverse professional paths. With a rich history of mathematical excellence and innovation, the University of Cambridge's Applied Mathematics degree combines theoretical depth with practical experience, offering students an academically challenging yet rewarding pathway into applied scientific fields.

• Functional Analysis
• Category Theory
• Astrophysical Fluid Dynamics
• Topics in Statistical Theory
• General Relativity
• Local Fields
• Topics in Ergodic Theory
• Slow Viscous Flow
• Combinatorics
• Differential Geometry
• Planetary System Dynamics
• Inverse Problems in Imaging
• Modern Statistical Methods
• Biological Physics and Complex Fluids 
• Advanced Probability
• Algebraic Topology 
• Statistical Field Theory
• Structure and Evolution of Stars
• Hydrodynamic Stability
• Perturbation Methods
• Percolation and Random Walks on Graphs
• Quantum Computation
• Symmetries, Fields and Particles
• Topics in Additive Combinatorics
• Applied Statistics ++
• Cosmology 
• Algebraic Geometry
• Mixing Times of Markov Chains
• Quantum Field Theory 
• Analysis of Partial Differential Equations
• Lie Algebras and their Representations
• Statistics in Medical Practice (Biostatistics) +
• The Standard Model
• Elliptic Curves
• Galactic Astronomy and Dynamics 
• Stochastic Calculus and Applications
• Representation Theory
• Riemann Surfaces and Teichmueller Theory
• Advanced Cosmology
• Logic 
• Topics in Mathematics of Information
• Advanced Quantum Field Theory
• Geometric Group Theory
• Numerical Solution of Differential Equations
• Extrasolar Planets
• Topics in Set Theory 
• Quantum Fluids
• Black Holes
• Theoretical Physics of Soft Condensed Matter
• Bayesian Modelling and Computation
• Ramsey Theory
• Linear Systems
• Topics in Convex Optimisation 
• Convection and Magnetoconvection
• String Theory
• Algebras 
• Dynamics of Astrophysical Discs
• Environmental Fluid Dynamics 
• Distribution Theory and Applications 
• Schramm-Loewner Evolutions
• Applied Statistics ++
• Modular Forms and L-Functions 
• Elliptic Partial Differential Equations
• Binary Stars
• Fluid Dynamics of the Solid Earth
• Analysis of Survival Data (Biostatistics) +
• Riemannian Geometry
• Gaussian Processes
• Optical and Infrared Astronomical Telescopes and Instruments
• Boundary Value Problems for Linear PDEs
• Laboratory Demonstrations 
• Supersymmetry 
• Classical and Quantum Solitons

Requirements

• Magistr (Master's Degree) at Pass level. Diploma Specialista (completed post-1991) with a minimum overall grade of good or 4/5 Bachelor's from Moscow Institute of Physics and Technology and other prestigious institutions with an overall grade of 4/5 Bologna Bachelor's from other institutions with an overall grade of 5/5, Excellent
• Diploma Specialista (completed post-1991) with a minimum overall grade of Excellent or 5/5 Bachelor's from Moscow Institute of Physics and Technology and other prestigious institutions with an overall grade of 5/5
• IELTS (Academic) 7.0
• TOEFL Internet Score 100
• £50 application fee
• First Academic Reference
• Second Academic Reference
• Transcript
• Statement of Interests
• Personal Reference

Scholarships

• Global Education
• Gates Cambridge Scholarships

Applied Mathematics at the University of Cambridge offers a comprehensive and rigorous curriculum designed to develop a deep understanding of mathematical methods and their applications in the real world. The program combines pure and applied mathematics, emphasizing problem-solving skills, analytical thinking, and computational techniques. Students engage with a wide range of topics including differential equations, mathematical modelling, numerical analysis, operations research, and data analysis. The course is suitable for those interested in pursuing careers in academia, industry, finance, data science, or engineering.

The teaching approach at Cambridge integrates lectures, small group tutorials, and practical project work, providing a balanced education that develops both theoretical knowledge and practical skills. The program encourages independent research, critical thinking, and teamwork, preparing students to tackle complex problems across various disciplines. Students benefit from state-of-the-art facilities, access to a vibrant academic community, and close interaction with world-leading experts in mathematics and related fields.

Entry requirements typically include strong A-level qualifications in mathematics and additional sciences, or equivalent international qualifications. The course duration is three years for undergraduate students, with options for extended research projects or placements. The program also offers opportunities for interdisciplinary study, allowing students to combine applied mathematics with computer science, engineering, or natural sciences.

Graduates of Applied Mathematics at Cambridge are highly sought after and often proceed to careers in research, technological innovation, finance, data analysis, or pursue postgraduate studies such as MSc or PhD. The university’s reputation for excellence in mathematical sciences, combined with its vibrant academic environment, ensures that students receive a world-class education. Overall, the program aims to produce versatile, critical thinkers capable of applying mathematical techniques to solve some of the most challenging problems faced by society today.