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Students
Tuition Fee
GBP 39,100
Per year
Start Date
2025-10-01
Medium of studying
Duration
36 months
Program Facts
Program Details
Degree
Bachelors
Major
Mathematics | Pure Mathematics
Area of study
Mathematics and Statistics
Timing
Full time
Course Language
English
Tuition Fee
Average International Tuition Fee
GBP 39,100
Intakes
Program start dateApplication deadline
2025-10-01-
About Program

Program Overview


Imperial College London's BSc in Mathematics (Pure Mathematics) equips students with an in-depth understanding of mathematical theories and applications, fostering critical thinking and intellectual abilities. The program emphasizes core concepts in algebra, analysis, probability, and statistics, with a focus on rigorous proofs and precise definitions. Through a combination of coursework, examinations, and research projects, students gain specialized knowledge in areas like Algebraic Number Theory, Functional Analysis, and Topology, preparing them for careers in sectors such as banking, computing, and research.

Program Outline

The program emphasizes developing critical thinking, intellectual abilities, and introducing new ways of thinking. Students will gain in-depth knowledge in areas such as algebra, analysis, probability, and statistics, exploring concepts like the logical structure of arguments, the definition of mathematical objects, the design of mathematical models, and the legitimacy of computations. The Pure Mathematics specialization delves into concepts like Algebraic Number Theory, Functional Analysis, Topology, and Probability Theory.


Outline:

The program is structured over three years, with a core curriculum in the first two years and a wide range of optional modules in the third year.


Year 1:

  • Core Modules:
  • Introduction to University Mathematics: Transitioning to university-level mathematics, emphasizing precise definitions and rigorous proofs.
  • Analysis 1: Rigorous treatment of limits applied to sequences, series, and functions.
  • Linear Algebra and Groups: Generalizing linear equations and matrices within vector spaces and linear transformations.
  • Calculus and Applications: Exploring mathematical tools for solving complex applied mathematics problems.
  • Probability and Statistics: Focusing on probability concepts within an axiomatic framework, emphasizing modeling and data analysis.
  • Introduction to Computation: Learning Python programming through examples, practice, and assessment tasks.
  • An Introduction to Applied Mathematics: Identifying the use of mathematical ideas in scientific problems and familiarizing students with a multidisciplinary mathematical framework.
  • Individual Research Project: Developing elementary research skills in mathematics while exploring personal interests.

Year 2:

  • Core Modules:
  • Analysis 2: Exploring higher-dimensional derivatives, metric and topological spaces, and limiting behavior of sequences.
  • Group Research Project: Enhancing mathematical research, communication, teamwork, and presentation skills.
  • Groups and Rings: Studying groups, homomorphisms, and applications of group theory and rings.
  • Lebesgue Measure and Integration: Exploring Lebesgue's theory of measure and integration, a powerful extension of the Riemann integral.
  • Linear Algebra and Numerical Analysis: Examining matrices for linear transformations and proving the Cayley-Hamilton Theorem.
  • Multi-variable Calculus and Differential Equations: Gaining an understanding of advanced calculus and ordinary differential equations.
  • Optional Modules:
  • Network Science: Exploring an interdisciplinary field where mathematics plays a central role in analyzing real-world systems.
  • Partial Differential Equations in Action: Learning about partial differential equations and modeling in applied mathematics.
  • Principles of Programming: Building programming skills beyond the first year through object-oriented programming in Python.
  • Probability for Statistics: Investigating probability concepts useful in statistics, focusing on the joint behavior of random variables.
  • Statistical Modelling 1: Developing statistical inference concepts and applying them to the linear model.

Year 3:

  • Group A Modules (at least five required for Pure Mathematics degree):
  • Algebra 3
  • Algebraic Combinatorics
  • Algebraic Number Theory
  • Algebraic Topology
  • Functional Analysis
  • Galois Theory
  • Geometric Complex Analysis
  • Group Representation Theory
  • Group Theory
  • Markov Processes
  • Mathematical Logic
  • Number Theory
  • Probability Theory
  • Group B Modules (optional):
  • Advanced Topics in Partial Differential Equations
  • Applied Complex Analysis
  • Applied Probability
  • Asymptotic Methods
  • Bifurcation Theory
  • Communicating Mathematics
  • Computational Linear Algebra
  • Computational Partial Differential Equations
  • Consumer Credit Risk Modelling
  • Dynamical Systems
  • Dynamics of Games and Learning
  • Finite Elements: Numerical Analysis and Implementation
  • Fluid Dynamics 1
  • Fluid Dynamics 2
  • Function Spaces and Applications
  • High Performance Computing
  • Introduction to Geophysical Fluid Dynamics
  • Mathematical Biology
  • Mathematics of Business and Economics
  • Mathematics Research Project
  • Methods for Data Science
  • Numerical Solutions of Ordinary Differential Equations
  • Quantum Mechanics 1
  • Quantum Mechanics 2
  • Scientific Computing
  • Special Relativity and Electromagnetism
  • Statistical Modelling 2
  • Statistical Theory
  • Stochastic Simulation
  • Survival Models
  • Tensor Calculus and General Relativity
  • Theory of Complex Systems
  • Time Series Analysis

Assessment:

The program utilizes a combination of coursework and examinations for assessment. The balance of assessment varies across the years:

  • Year 1: 30% Coursework, 70% Examinations
  • Year 2: 20% Coursework, 80% Examinations
  • Year 3: 10% Coursework, 90% Examinations
  • Assessment methods include:
  • Group assignments and projects
  • Individual projects
  • Online tests and quizzes
  • Oral presentations
  • Poster presentations
  • Short, individual tests
  • Written examinations

Teaching:

The program employs a variety of teaching methods, including:

  • Independent learning
  • Group learning
  • Lectures
  • Tutorials
  • Problem solving
  • Research projects

Careers:

Graduates of this program are highly sought after in various sectors due to their specialized knowledge and transferable skills. Potential career paths include:

  • International banking
  • Computing
  • Business
  • Law
  • Accountancy
  • Financial services
  • Healthcare technology

Other:

  • The program is delivered by the Department of Mathematics at Imperial College London.
  • The program has a 11:1 applicant-to-place ratio (2023 data).
  • The minimum entry standard for A-levels is A A A, including A in Mathematics and Further Mathematics.
  • All applicants are strongly encouraged to sit the Test of Mathematics for University Admission (TMUA).
  • The Mathematics Admissions Test (MAT) is no longer used by Imperial.
  • The program offers a Year Abroad option, with limited places available.
  • The program offers the Imperial Bursary scheme for eligible Home undergraduates.
  • The program has a 94% graduate employment rate (2021-22 data).
  • 85% of graduates are employed in highly skilled work or further study (2021-22 data).
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