# Schedule of Units (2022-23)

The examination for Part B shall consist of units in Mathematics and subjects in Philosophy. The schedule of units in Mathematics shall be published on the Mathematical Institute website by the beginning of the Michaelmas Full Term in the academic year of the examination concerned, after consultation with the Mathematics Teaching Committee. The schedule shall be in two parts: Schedule 1 (standard units) and Schedule 2 (additional units). In Philosophy the subjects shall be subjects 101-118, 120, 122, 124, 125, 127, 128, 198 and 199 from the list given in Special Regulations for All Honour Schools Including Philosophy.

Each candidate shall offer:

(i) Four units of Mathematics from Schedule 1, two of which shall be B1.1 Logic and B1.2 Set Theory,

(ii) three subjects in Philosophy from 101-116, 120, 122, 124, 125, 127-129 137-139 and 198 of which two must be 122 and **either **101 ** or** 102, and

(iii) **either **two further units in Mathematics drawn from Schedules 1 and 2 combined** or **one further subject in Philosophy from subjects 101-116, 120, 124, 125, 127-129, 137-139, 198 and 199: *Thesis*.

**Note that the units listed under Schedule 2 are not available to those who wish to offer a total of four Philosophy subjects.**

All units in Mathematics are drawn from the list of options for Mathematics Part B.

**Schedule 1 **comprises those Mathematics Department courses for which the core and options in Mathematics & Philosophy Part A provide the requisite background.

**Schedule 2** contains an Extended Essay option and certain further courses from Mathematics Part B appropriate for the Joint School.

In addition you may apply for special approval to be examined in Mathematics Department units not included under Schedule 1; any such subject approved will be treated as falling under Schedule 2.

**Mathematics: list of units**

(B1.1 and B1.2 are compulsory)

*Schedule 1 (standard units)*

The following are units unless otherwise stated.

B1.1 Logic

B1.2 Set Theory

B2.1 Introduction to Representation Theory

B2.2 Commutative Algebra

B3.1 Galois Theory

B3.2 Geometry of Surfaces

B3.3 Algebraic Curves

B3.4 Algebraic Number Theory

B3.5 Topology and Groups

B4.1 Functional Analysis I

B4.2 Functional Analysis II

B4.3 Distribution Theory and Analysis of PDEs

B4.4 Fourier Analysis and PDEs

B8.1 Probability, Measure and Martingales

B8.2 Continuous Martingales and Stochastic Calculus

B8.4 Information Theory

B8.5 Graph Theory

SB3.1 Applied Probability

*Schedule 2 (additional units and double-units)*

The following are single unless otherwise stated.

BEE Mathematical Extended Essay double unit

BO1.1 History of Mathematics double unit

BOE Other Mathematical Extended Essay double unit

OCS1 Lambda Calculus and Types

OCS2 Computational Complexity

OCS3 Knowledge Representation and Reasoning

OCS4 Computer-aided Formal Verification

And also:

Any other unit or double-unit course from the list of Mathematical Institute units in Part B for which special approval has been granted.

**Philosophy** (Subject 122 is compulsory and at least one of subjects 101 and 102 must be chosen)

101 Early Modern Philosophy

102 Knowledge and Reality

103 Ethics

104 Philosophy of Mind

106 Philosophy of Science and Social Science

107 Philosophy of Religion

108 The Philosophy of Logic and Language

109 Aesthetics

110 Medieval Philosophy: Aquinas

111 Medieval Philosophy: Duns Scotus and Ockham

112 The Philosophy of Kant

113 Post-Kantian Philosophy

114 Theory of Politics

115 Plato, Republic

116 Aristotle, Nicomachean Ethics

120 Intermediate Philosophy of Physics

122 Philosophy of Mathematics

124 Philosophy of Science

125 Philosophy of Cognitive Science

127 Philosophical Logic

128 Practical Ethics

129 The Philosophy of Wittgenstein

137 Plato on Knowledge, Language, & Reality in the Theaetetus & Sophist (in translation)

138 Aristotle on Nature, Life and Mind (in translation)

139 Knowledge and Scepticism in Hellenistic Philosophy (in translation)

198 Special Subject

199 Thesis