Real Analysis 1. This second semester course follows on from Foundations and Analysis, which is a prerequisite. The unit is compulsory for most first-year mathematics students. The course is a 10 UCU unit of 20 lectures. Support teaching is via 6 tutorials and 6 clinics, shared with Linear Algebra II .
Analysis is that part of mathematics concerned with functions and graphs.
Throughout the 17th and 18th centuries, problems in mathematics and physics were being successfully solved using ideas that we now call Differential Equations, Fourier Analysis, and Fixed Point Theorems. Despite these successes, much of the work was not accurate and many basic questions were left unanswered. During the 19th century these problems were formulated precisely and solved. The study of analysis begins with a deep understanding of the real numbers, and then goes on to study functions and how they behave. Lecture notes may be made available to students on the UEA Intranet.