Mathematics & Philosophy BSc, Mathematics & Philosophy with a year abroad BSc

Year 1

Courses are divided into modules. Each year you will normally take modules totalling 120 credits.

Students on the Mathematics & Philosophy with a Year Abroad BSc will spend their third year studying abroad before returning to complete a final year with King’s. This depends on students reaching a certain grade average and being accepted by a partner university. Students on the three year course may transfer to the four year Mathematics & Philosophy with a Year Abroad BSc.

In your first year, you will take 75 credits from Mathematics and 45 credits from Philosophy.

Mathematics:

• Calculus I (15 credits)

• Calculus II (15 credits)

• Linear Methods (15 credits)

• Numbers and Functions (15 credits)

Philosophy:

In your first year you are required to take one module from each of these three groups which may typically include:

Group A

• Greek Philosophy I (15 credits)
• Modern Philosophy I (15 credits)

Group B

• Ethics I (15 credits)
• Political Philosophy I (15 credits)

Group C

• Metaphysics (15 credits)
• Epistemology I (15 credits)
• Methodology (15 credits)

Mathematics

You are also required to take another 15 credits from a range of optional modules.
The modules which you take in first year will be built on in the following years, and some modules in later years require you to have already taken a related module. These optional modules may typcially include:

• Introduction to Abstract Algebra (15 credits) – this module is required for Linear Algebra in the second year and for Galois Theory in the third year.
• Introduction to Dynamical Systems (15 credits) – this module required for Intermediate Dynamics in the second year and for Introductory Quantum Theory in the third year.

Year 2

Students take four Mathematics and four Philosophy modules.

Mathematics:

If you have not already taken Introduction to Abstract Algebra in first year, you will be required to take the following module in your second year:

• Introduction to Abstract Algebra (15 credits)

In addition, you are required to take at least one of the following modules:

• Analysis I (15 credits)
• Applied Analytic Methods (15 credits)

Philosophy:

You are required to take three modules from at least two of the following groups, each of which may typically include:

Group A

• Greek Philosophy II: Plato (15 credits)
• Greek Philosophy II: Aristotle (15 credits)
• Modern Philosophy II: Locke & Berkeley (15 credits)
• Modern Philosophy II: Spinoza & Leibniz (15 credits)

Group B

• Ethics II: History of Ethical Philosophy (15 credits)
• Ethics II: Contemporary Ethical Philosophy (15 credits)
• Political Philosophy II: History of Political Philosophy (15 credits)
• Political Philosophy II: Theories of Freedom OR Justice (15 credits) (running in alternate years)

Group C

• Epistemology II (15 credits)
• Metaphysics II (15 credits)
• Philosophy of Logic & Language (15 credits)
• Philosophy of Mind(15 credits)
• Intermediate Logic (15 credits)
• Philosophy of Physics I: Philosophy of Space & Time (15 credits)

Mathematics:

You are also required to choose one further module from a range of optional modules which may typically include:

• Geometry 1 (15 credits)
• PDEs & Complex Variables (15 credits)
• Linear Algebra (15 credits)
• Intermediate Dynamics (15 credits)
• Introduction to Dynamical Systems (15 credits)
• Probability & Statistics I (15 credits)
• Geometry of Surfaces (15 credits)
• Elementary Number Theory (15 credits)
• Groups & Symmetries (15 credits)
• Discrete Mathematics (15 credits)
• Linear Models & Regression Analysis (15 credits)

Philosophy:

In addition, you are required to take another 15 credit module, either from the list above or from a wide selection of optional modules which may typically include:

• Hellenistic Philosophy (15 credits)
• Indian Philosophy: The Orthodox Schools (15 credits)
• Philosophy of Mathematics (15 credits)
• Medieval Philosophy (15 credits)
• Philosophy of Psychology (15 credits)
• First-Order Logic (15 credits)
• Aesthetics (15 credits)
• Gender & Philosophy (15 credits)
• Topics in Modern Philosophy (15 credits)
• Topics in Political Philosophy (15 credits)
• 19th OR 20th Century Continental Philosophy (NB the 19th & 20th Century Continental Philosophy Modules run in alternate years) (15 credits)
• Topics in Philosophy of Language (15 credits)

Year 3 Students on the four year Mathematics & Philosophy BSc course will spend their third year studying abroad at a partner institution. Required Modules There are no required modules in year three. Optional Modules

For student on the three year Mathematics and Philosophy BSc degree:

Mathematics:

You will take at least 45 credits in Mathematics from a broad list of options, which may typically include:

• PDEs & Complex Variables (15 credits)
• Linear Algebra (15 credits)
• Intermediate Dynamics (15 credits)
• Mathematical Theory of Collective Behaviour (15 credits)
• Topics in Mathematics (15 credits)
• Real Analysis II (15 credits)
• Complex Analysis (15 credits)
• Topology (15 credits)
• Special Relativity & Electromagnetism (15 credits)
• Introductory Quantum Theory (15 credits)
• Third Year Project (15 credits)
• Rings & Modules (15 credits)
• Numerical Methods (15 credits)
• Mathematical Finance I: Discrete Time (15 credits)
• Theory of Complex Networks (15 credits)
• Geometry of Surfaces (15 credits)
• Elementary Number Theory (15 credits)
• Groups and Symmetries (15 credits)
• Probability & Statistics II (15 credits)
• Discrete Mathematics (15 credits)
• Galois Theory (15 credits)
• Mathematics Education & Communication (15 credits)
• Space-time Geometry & General Relativity (15 credits)
• Mathematical Finance II: Continuous Time (15 credits)
• Representation Theory of Finite Groups (15 credits)
• Mathematical Biology (15 credits)

Philosophy:

You take at least 45 credits in Philosophy from a broad list of optional modules. Between 30 to 45 credits must be from the level 6 options, depending on your overall philosophy credit total. The remaining modules may be at level 5 or 6 and may typically include:

• Dissertation (30 credits)
• Hellenistic Philosophy (15 credits)
• Indian Philosophy: The Orthodox Schools (15 credits)
• Philosophy of Mathematics (15 credits)
• Medieval Philosophy (15 credits)
• Philosophy of Psychology (15 credits)
• First-Order Logic (15 credits)
• Aesthetics (15 credits)
• Gender & Philosophy (15 credits)
• Topics in Modern Philosophy (15 credits)
• Topics in Political Philosophy (15 credits)
• 19th OR 20th Century Continental Philosophy (NB the 19th & 20th Century Continental Philosophy Modules run in alternate years) (15 credits)
• Topics in Philosophy of Language (15 credits)
• Utilitarianism (15 credits)
• Foundations of Analytic Philosophy (15 credits)
• Indian Philosophy: The Heterodox Schools (15 credits)
• Philosophy of Science (15 credits)
• Ethics of Science & Technology (15 credits)
• Mathematical Logic: Limitative Results (15 credits)
• Topics in the Philosophy of Mind (15 credits)
• Moral Normativity (15 credits)
• Topics in Greek Philosophy (15 credits)
• Philosophy of Psychology II (15 credits)
• Topics in Metaphysics (15 credits)
• Philosophy of Physics II: Quantum Mechanics (15 credits)

King’s College London reviews the modules offered on a regular basis to provide up-todate, innovative and relevant programmes of study. Therefore, modules offered may change. We suggest you keep an eye on the course finder on our website for updates.

Year 4 In the final year of the four year Mathematics & Philosophy BSc, there is more flexibility and you may take up to five modules from mathematics or philosophy. The modules run in each academic year are subject to change in line with staff availability and student demand, so there is no guarantee every module will run. Required Modules Optional Modules