MT2116 Abstract mathematics
May not be taken with MT3095 Further mathematics for economists.
Prerequisites (applies to degree students only)
Either MT1174 Calculus orboth MT105A Mathematics 1 and MT105B Mathematics 2.
This course is an introduction to mathematical reasoning. Students are introduced to the fundamental concepts and constructions of mathematics. They are taught how to formulate mathematical statements in precise terms, and how such statements can be proved or disproved.
The course is designed to enable students to:
- develop their ability to think in a critical manner
- formulate and develop mathematical arguments in a logical manner
- improve their skill in acquiring new understanding and expertise
- acquire an understanding of basic pure mathematics, and the role of logical argument in mathematics.
Topics covered are: Logic, integers, sets and functions, prime numbers, relations, real and complex numbers, greatest common divisor and modular arithmetic, infimum and supremum, sequences, limits of sequences, functions and limits of functions, continuity, groups.