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Module Information
Module
- 10 CATS
- unrequired core
- Module Link
Exam
- 09:30, 22/04/24, Junction Hall 1
- 2 hour exam
- 85%
Topics
- Sets, Subsets and Power Sets
- Functions & Their Properties
- Cantor’s Theorem
- Russell’s Paradox
- Ordered Pairs & Cartesian Products
- Operations on Sets (Union and Intersection)
- Operations on Functions
- Relations
- Equivalence Relations
- Partitions
- Quotients and the Integers
- Well-Defined Functions
- Modular Arithmetic
- Booleans and their Operators
- Truth Tables
- Quantifiers, their laws
- Proofs
- Induction
- Strong Induction
- Recursion
- Strong Recursion
- Pigeonhole Principle
- Greatest Common Divisors
- Prime Factorisations
- The Euclidean Algorithm
- Groups and Subgroups
- Permutations
- The Symmetric Group
- Cycle decomposition of a given algorithm
- Homo- and Isomorphisms
- Images and Kernels of homomorphisms
- Quotients of Groups
- Group Actions