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BA (Joint Hons)Mathematics and Philosophy

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liverpool.ac.uk/..y-ba-joint-hons/overview 

Overview

What are numbers? Do they exist? How can we know about them if they are not to be found in the familiar world of space and time that we inhabit? These are just some of the philosophical questions raised by the study of mathematics. The relationship runs the other way too: mathematics has helped formalise the study of logical argument that lies at the base of all good philosophy. So it is no surprise that some of the greatest philosophers (for example, Descartes, Leibniz, Frege and Russell) have been mathematicians too.

This programme allows you to study Mathematics and Philosophy in equal amounts over three years. In Philosophy, you will learn how to understand complex and demanding texts, and to recognise good and bad arguments. The Philosophy component of the degree course includes modules in logic, the formal study of reasoning, in which you will learn how to assess arguments and construct proofs.

In Mathematics, the core first-year modules introduce fundamental ideas, and are designed to bridge the gap between previous study and university. In subsequent years, you will generally take four modules in Mathematics each year, choosing either to specialise or to continue to study a broad range of topics. This programme allows you the flexibility to transfer, if you wish, to Single Honours in Philosophy or Mathematics.

Please note not all Mathematics modules are listed and you will take Mathematics modules in each year.

Programme structure

Programme Year One

Students take four modules from the Philosophy Year One programme.

Philosophy modules:

Reading and Writing Philosophy 1
Reading and Writing Philosophy 2 Critical, Analytical, and Creative Thinking
Symbolic Logic 1

Students take the core foundation modules from the Mathematics Year One programme:

Foundation Module I: Calculus
Foundation Module II: Complex Numbers and Linear Algebra
Foundation Module III: Multivariable Calculus

And one of the following:

Numbers, Groups and Codes
Mathematical Reasoning and Problem Solving

Programme Year Two

Students choose modules to the value of four units from the Philosophy Year Two programme and four from Mathematics.

Philosophy modules:

Symbolic Logic 2*
Theory of Knowledge
Philosophy of Religion
Themes in Political Philosophy
Metaphysics
Early Modern Philosophy
Plato and Aristotle
Moral Philosophy

*Compulsory

Mathematics modules:

Ordinary Differential Equations
Group Project Module
Iteration and Fourier Series
Complex Functions
Groups, Linear Algebra and Geometry
Rings, Fields and Combinatorics
Geometry of Curves
Introduction to the Methods of Applied Mathematics
Vector Calculus with Applications in Fluid Mechanics
Mathematical Models of Non-Physical Systems
Numerical Analysis, Solutions of Linear Equations
Introduction to Methods of Operational Research

Programme Year Three

Students choose modules to the value of four units from the Philosophy Year Three programme and four Mathematics modules. Students may choose to undertake a project as one of the Mathematics options – this may be on a topic related to Philosophy.

Philosophy modules:

Final-Year Dissertation
Philosophy of Mind
Philosophy of Language
Aesthetics
Philosophy and Literature
Indian Philosophy
Philosophy and Spirituality
Existentialism
Symbolic Logic 3
Philosophical Approaches to Conflict

Mathematics modules:

History of Mathematics
Riemann Surfaces
Metric Spaces and Topology
Number Theory
Group Theory
Combinatorics
Project in Pure Mathematics
Chaos Theory
Further Methods of Applied Mathematics
Mathematical Models of Continuum
Mechanics
Quantum Mechanics
Relativity
Introduction to Modern Particle Physics
Non-Physical Applications 1 (Mathematical Economics)
Non-Physical Applications 2 (Population Dynamics)
Mathematical Modelling Projects
Mathematical Essay
Theory of Statistical Inference
Linear Statistical Models
Networks in Theory and Practice

Career opportunities

Graduates in Philosophy obtain work in such fields as advertising, the arts, broadcasting, commerce, the Civil Service, computing, journalism, marketing, politics, law, management, and teaching. You have the opportunity during your degree for a placement with an appropriate partner where you can apply your academic learning to practical contexts and develop a range of skills attractive to future employers.

Apply now! Fall semester 2021/22
This intake is not applicable

Application deadlines apply to citizens of: United States

Apply now! Fall semester 2021/22
This intake is not applicable

Application deadlines apply to citizens of: United States