Description
Starting only with the basic properties of real numbers, rigorous proofs are given of the main results in elementary differential calculus. Topics covered include sequences, series, continuity and differentiability of functions and the properties of the exponential function. This course has two main aims: (a) To begin the study of analysis, continued in MATH0004 and MATH0013. Mathematical analysis is one of the most important and well-developed strands of pure mathematics with many elegant and beautiful theorems, and also with applications to many areas of mathematics and mathematical physics. (b) To introduce students to the ideas of formal definitions and rigorous proofs (one of the fundamental features of modern mathematics, and something that is not familiar from A-level), and to develop their powers of logical thinking.
Module deliveries for 2024/25 academic year
Last updated
This module description was last updated on 19th August 2024.
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