Program Overview

Mathematics with French

Overview

Mathematics is the universal language of science and a beautiful subject in its own right. It is a discipline that also has important applications in industry and commerce, and well-qualified mathematicians are in great demand, with a wide choice of careers. For mathematicians with an interest and background in French this degree is ideal. It is a four-year degree programme with a year spent abroad typically studying mathematics through the medium of the chosen language.

Course Structure

• Stage 1: Students must take four compulsory Maths modules plus French 1.
• Stage 2: Students must take two compulsory maths modules plus French 2 plus two optional modules approved by an advisor of studies.
• Stage 3: Students will take an approved Turing programme of study at a French speaking university or alternatively, an approved placement in a French speaking country.
• Stage 4: Students must take Maths modules totalling 80 units to be approved by an advisor of studies plus French 3.

Entry Requirements

• A-level: A (Mathematics) AB including French OR A* (Mathematics) BB including French
• Irish Leaving Certificate: H2H3H3H3H3H3 including Higher Level grade H2 in Mathematics and H3 in French
• International Baccalaureate Diploma: 34 points overall including 6 (Mathematics) 6,5 at Higher Level to include French
• Graduate: A minimum of a 2:2 Honours Degree provided any subject requirement is also met

Tuition Fees

• Northern Ireland (NI): £4,855
• Republic of Ireland (ROI): £4,855
• England, Scotland or Wales (GB): £9,535
• EU Other: £20,800
• International: £20,800

Career Prospects

• Introduction: Studying for a degree in Mathematics with French at Queen’s will assist students in developing the core skills and employment-related experiences that are valued by employers, professional organisations and academic institutions.
• Employment after the Course: Typical career destinations of graduates include:
  • Teaching
  • Finance and Banking (Financial Analyst, Predictive Modelling, Quantitative Analyst)
  • Management (Consultancy, Risk Analyst, Insurance)
  • Engineering and Information Technology (Data Scientist, Software and Process Engineer)
  • Statistics, Market and Operational Research
  • Research (academia and industry)
  • Government and Defence
  • Medical Science
  • Export Marketing (NI Programme)
  • Varied graduate programmes (Times Top 100 Graduate Recruiters/AGR, Association of Graduate Recruiters UK)

Modules

• Algorithmic Thinking: Basic programming skills, introduction of software to present mathematical contents and to solve mathematical problems
• Mathematical Methods 1: Review of A-level calculus, differential equations, vectors in 3D, Newtonian mechanics
• Mathematical Reasoning: The notion of mathematical statements and elementary logic, mathematical symbols and notation, the language of sets, the concept of mathematical proof
• Introduction to Algebra and Analysis: Elementary logic and set theory, number systems, bounds, supremums and infimums, basic combinatorics, functions
• French 1: Consolidate and develop existing written and oral language skills and knowledge of French and Francophone culture
• Mathematical Methods 2: Functions of a complex variable, series solutions to differential equations, Fourier series and Fourier transform
• Linear Algebra: Abstract vector spaces and subspaces, linear independence, basis, dimension, linear transformations, image, kernel and dimension formula
• Group Theory: Definition and examples of groups and their properties, countability of a group and index, Lagrange’s theorem
• Classical Mechanics: Introduction to calculus of variations, Newtonian mechanics, generalised coordinates, Lagrangian
• Analysis: Cauchy sequences, infinite series, uniform continuity, mean value theorems
• Metric Spaces: Definition and examples of metric spaces, open sets, closed sets, closure points, sequential convergence
• International Placement - Year Abroad: Students complete a work, volunteer or study placement in fulfilment of the residence abroad requirements associated with their chosen Mathematics degree
• Numerical Analysis: Introduction and basic properties of errors, solution of equations in one variable, solution of linear equations
• Modelling and Simulation: Analyse real-life situations, build a mathematical model, solve it using analytical and/or numerical techniques
• Applied Mathematics Project: Self-study of an advanced mathematical topic under the supervision of a member of staff
• Mathematical Investigations: Investigation processes of mathematics, including the construction of conjectures based on simple examples and the testing of these with further examples
• French 3: Develop the skills and understanding required to deal with a broad variety of language tasks, linguistic, sociolinguistic and cultural awareness will be consolidated and deepened
• Geometry of Optimisation: Functionals on R^n, linear equations and inequalities, convex polytopes, faces
• Functional Analysis: A characterisation of finite-dimensional normed spaces, the Hahn-Banach theorem with consequences
• Fourier Analysis and Applications to PDEs: Introduction to classical PDEs, method of separation of variables, Fourier series
• Topological Data Analysis: Simplicial complexes, PL functions, simplicial homology
• Quantum Theory: Overview of classical physics and the need for new theory, basic principles, elementary applications
• Measure and Integration: Sigma-algebras, measure spaces, measurable functions, Lebesgue integral
• Algebra: Rings, subrings, prime and maximal ideals, quotient rings, homomorphisms
• Dynamical Systems: Continuous dynamical systems, fundamental theory, linear systems
• Financial Mathematics: Introduction to financial derivatives, future markets and prices, option markets, binomial methods and risk-free portfolio